VULCAN'S NEW ORBITAL PARAMETERS

By
DR. HERBERT W. KUEHNE AND DR. BARRY M. WARMKESSEL

SUPPORT FROM LAWRENCE P. GIVER
SONJA M. KAWAMOTO AND REMO PERINI

©Copyright: 21 August 2002
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ABSTRACT

Re investigation of Vulcan's orbital elements offers two sets of possible orbital parameters. Boundary condition for either limits the uncertainty of Vulcan's location and associates it with IRAS object (1732+239). Vulcan may have been this object or within +6.8o/-15.2o in right ascension and +2.81o/-8.94o in declination of it. The probability of fortuitous correlation is about 0.16. Verification of Vulcan's existence can indirectly validate the existence of comet swarms that could soon pass by Earth threatening immense loss of life. Vulcan's astrological aspects at the Dawn Of Mankind indicates a propensity for religious wars and possibly extreme stubbornness in our species. Astronomical events relating to Jesus/Christ and Gotama/Buddha are defined. The two new sets of orbital elements are:
ParameterC"EV OrbitC*EV OrbitMax. ErrorMin Error
Period (years) 4969.05058.7+30.4/- 24.3+/- 11.5
Orbital Eccentricity 0.537 0.514+0.088/-0.035 +/- 0.0085
Orbital Inclination48.44o48.38o +3.12o/-9.05o +/- 0.23o
Longitude of the Ascending Node189.0o 188.6o +/- 1.3o +/- 1.3o
Argument Of Perihelion 257.8o 258.06o +6.11o/-13.47o+/- 0.90o
Time of Aphelion (years)1970 AD1970 AD +/- 1.0 +/- 1.0

TABLE OF CONTENTS

1. BACKGROUND AND SUMMARY

ASTRO-METRICS, a new planet formation theory has been posted that combines aspects of both general relativity and theology. Previously material posted on this web site suggest that there is a Jovian sized planet or dark star companion to our Sun. This object, dubbed Vulcan, attracts comets from both the Oort cloud or Kuiper belt casting some of them towards Earth. Some fragmented comets form five identified comet swarms that exist in quasi-stable 3:2 resonant orbits. The period of these swarms is about two thirds Vulcan's period, or 3300 years. They alternately pass through the inner solar system striking the Earth, Moon and other inner planets.

Astrological influences are commonly used to describe the personality of human beings, the only species that most would agree are sentient or ensouled. Such forces, however, also govern the formation of sentient species throughout the galaxy as well as Avatars that manifest to support their evolution. Computation of Vulcan's orbital parameters has been attempted using a combination of both physical data and astrological techniques. Specifically, data from the times of manifestation of two Avatars are combined with physical data to derive Vulcan's orbit.

The following first four items were employed in the computation of orbital parameters for Vulcan. The fifth serves as a mechanism to verify and refine the computed orbit elements. Further, it permits the estimation of error bounds needed to speculate as to how close Vulcan may be to a know IRAS point.

  1. An IRAS object (1732+239).
  2. A momentous magnetic jerk circa 1970, altering the rotation of the Earth's inner core.
  3. The manifestation of the Infinite soul in Jesus, forming the Christ.
  4. Buddha's enlightenment (The manifestation of the Infinite soul in Gotama, forming the Buddha).
  5. The Dawn Of Mankind (when the Galactic center was opposite the first point of Aires (about 55,753 BC) and Vulcan's aspect to it.

This orbital estimation has been previously attempted, but with less attention to detail. The Avatar's time of enlightenment is required in these calculations. The thesis espoused in this work proposes that astrological aspects of Vulcan with respect to the Sun are present at the time the Avatars manifest on the physical plane. Incidentally, they may color how the avatars are received by mankind. A slight change in Buddha's date of enlightenment and a shift of calendars (Julian verses Gregorian) for the Infinite soul's manifestation in Christ and Buddha results in a small modification of original computation of Vulcan's orbital elements.

It is further asserted that astrological aspects of Vulcan at the Dawn Of Man (DOM) color the development of our sentient species here on Earth. From the character of human civilization, we can speculate on possible alignments of Vulcan, the Sun and the Galactic center at the DOM. However, a refined analysis of the model for the Earth/Sun system at these times are required. It is this alignment that permits validation Vulcan computed orbit. See Appendix A.

A possible image of Vulcan may already exist. Nine IRAS sources were quickly detected in the initial IRAS survey, and all exhibited an extended infrared source, suggesting possible parallax, which would indicate that one could be a planet in our outer solar system. Subsequently, all but three were rejected. Further investigation has associated these three with galaxies highly radiant in the infrared. These include object (1732+239) that could also be a possible image of Vulcan (see Plate L).1 This IRAS object was used to compute Vulcan's orbit, but not the probability of Vulcan's existence (about 15% in a nominal 5000-year orbit. The Dawn Of Mankind point can be used as a "boundary condition" by which the viability of Vulcan's association with IRAS object (1732+239) can be accessed.

2. CHRIST RELATED DATA

Yarbro has claimed that the Infinite soul has manifested only four times in the history of mankind. This manifestation is similar to reincarnation and has formed avatars known as:

The Infinite soul directly occupies the host body at the time of the manifestation. There are also four avatars of the Transcendental soul including Gandhi, but the IRAS data point was used instead of Gandhi's time of manifestation to determine the orbit of Vulcan. The Gandhi point and IRAS data are consistent, but the IRAS point is of far greater spatial resolution.

The Infinite soul can be thought of as the "Essence Twin" to every human being alive at the time of the manifestation, and as such, it has a profound influence on our culture. It is remembered and revered by major segments of the world's population. Since it manifests in a human body, that human's body type is identical with its at the time of manifestation. These manifestation times can be employed to determine Vulcan's ephemeredes. APPENDIX B. Additionally, the tenor of mankind's collective group mind may be defined by astrological aspects computed from the relative locations of Vulcan, the galactic center and the Vernal equinox at the Dawn Of Mankind (the beginning of sentient Homo Sapiens). This verifies the precision of Vulcan orbital parameters and precisely defines the time of the Dawn Of Mankind. Admittedly, this is an unusual way to find a new planet (actually our Sun's dark star companion) but it leads to testable results and boundary conditions that can be calculated from known astronomical and archeological data. Considering the danger that a Vulcan induced comet swarm could present to Earth (as well as that indicated by past evidences of related comet strikes), a search for the swarm's casual agent (Vulcan) should be quickly undertaken.

Since the initial attempts to compute the orbit of Vulcan, innovations have been made which have allowed for the consideration of parallax as well as other minor calendar irregularities. While the date and positional information gathered during the twentieth century was relatively free of such error sources, they were present in the data defining the manifestation of the avatars of Christ and Buddha. These small errors did not inhibit a reasonable estimation of Vulcan's orbit, but this more precise orbit leads to a way to verify Vulcan's existence through direct visual observation.

A timeline describing the lives of Jesus/Christ and Gotama/Buddha are presented in Tables 1 and 2. The data for Jesus/Christ has been previously determined and that for Buddha is discussed later in this material. Historical data is often listed in Julian calendar dates, not the Gregorian calendar as previous thought. The Vatican changed the calendar (and added 11 days) from the Julian to the more accurate Gregorian calendar on 24 February 1582. This calendar deletes a leap day every three of four centuries and keeps the winter solstice at 21 or 22 December. Table 1 contains a list of time tagged to astronomical events that were relevant during the lives of Jesus and the Christ avatar. The right ascension (RA) is given in hours and minutes in most tables (degrees in the text and in Tables 7 & 8)while the declination is given in degrees and minutes. The most important data in these tables are the dates and times of manifestation of the Christ and Buddha avatars. The relationship of these dates and times to recorded events are considered in the following sections. Note: predictability of a new Moon was subject to a one day error but the day of a full Moon was more easily determined.



Table 1
Jesus/Christ Related Data
Julian Date/GMTSun's RA/Dec.Moon's RA/Dec. Event
31 Mar. 3 BC/04:10Z00:27:59/03:03.711:54:51/- 02:47.3Date of Birth
1 Apr. 3 BC/00:38Z00:31:01/03:23.412:31:01/- 07:28.6New Moon
17 Jun. 2 BC/21:51Z* 08:43:28/19:25.6* 08:43:21/19:26.7 Planet Conjunction
10 Jan. 01 BC/01:52.5Z19:16:51/- 22:30.607:16:51/+22:27.8Herod's Lunar Eclipse
18 Feb. 33 AD/02:29.5Z22:00:20/- 12:20.722:00:05/-15:47.8New Moon
04 Mar. 33 AD/04:10Z22:52:21/- 07:13.310:21:39/13:22.6Avatar Manifests
04 Mar. 33 AD/23:07.5Z22:55:45/- 06:55.310:55:45/09:32.1Full Moon
03 Apr. 33 AD/18:10Z00:42:38/+04:38.512:42:39/- 05:21.1Eclipse Full Moon
03 Apr. 33 AD/18:24Z#118.355/-30.250##- 61.064/29.665Lunar Eclipse
08 April 1830 AD/05:16Z01:0:52/07:00.913:05;51/- 04:23.1Passover Full Moon
* RA/Dec of Venus/Jupiter.
#/## Sun/Moon Azimuth/Altitude relative to Jerusalem (32N/35 E).

Similar data for one Buddha's two likely manifestation dates is offered in Table 2.
Table 2
Gautama/Buddha Related Data
Julian Date/GMTSun's RA/Dec.Moon's RA/Dec. Event
31 Mar. 448 BC/21:00Z00:18:49:/02:04.0 12:28:55/-07:26.1New Moon DOB?
10 Dec. 413 BC/01:08Z16:50:03/- 22:45.816:50:02/-27:17.5New Moon
24 Dec. 413 BC/01:08Z17:52:03/-23:44.0 05:08:21/27:32.7Avatar Manifests?
24 Dec. 413 BC/22:30Z17:56:01/- 23:44.605:56/27:29.2 Full Moon
25 Dec. 413 BC/01:09Z17:56:30/-23:44.6 06:01:55/27:24.5Avatar Manifests?
26 Dec. 413 BC/01:09Z18:00:57/-23:44.8 06:54:58/2:59.7Avatar Manifests?

Buddha presumed to manifest at Buddh Gaya, India (24.41 N/85.02 E).

Yarbro claims that the Infinite soul (A. K. A. the Christ) only occupied the host body of Jesus bar (son of) Joseph for the last 30 days of his planned life.2 The three synoptic gospels record only one Passover, the of during his crucifixion We assume that the planned life of Jesus was to end with his crucifixion. But how are we to know that this is valid? Theologians have concluded that Christ was most likely crucified on 3 April 33 AD.3 Analysis at Oxford indicates 4 and others claim5 that an eclipse occurred on the date of Christ's crucifixion. The eclipsed Moon appeared "Blood Red" (Acts 2:20) on that day (due to low angle atmospheric scattering). Astronomical analysis presented in Table 1 clearly shows that the Moon did rise in eclipse. A date 30 days before the crucifixion of Christ can be precisely defined and is 4 March 33 AD.

Several Tzu Wei Chinese astrology charts were prepared, one for sunrise on 4 March 33 AD/ 04:11 Z and others for possible dates of the birth of Jesus. The Tzu Wei "star" generating the image of a King, was found to be present in the personality of the subject.6 This "star" (known to us as Polaris and not then at the pole) exerts the strongest influence in this astrology. It even gives this Chinese astrology its name. Yarbro similarly claims that the Infinite Soul prefers to incarnate in those individuals who have the "king" essence (see Table H-0) or soul type.7 Yarbro (Michael) estimates that about 4% of our population have the essence or soul type of a king. Unlike western astrology, the Tzu Wei astrology is "testable" in that it defines the "body type" of the subject being analyzed.

The Bible records that Jesus was born when Quirinius (Luke 2:2) was governor of Syria. Sherwin-White records that Quirinius had the first of his dual regencies as governor of Syria from 3 to 2 BC.8 Thus, Tzu Wei charts similar to the one computed for the 4 March 33 AD Christ manifestation were sought for dates found in 2 and 3 BC. The theory being that the "body type" of Jesus and Christ must match. Just the "essence" of the man Jesus was exchanged for the essence of the (Infinite) soul of Christ. Only six dates in 3 BC offer a good physical fit to His body type as defined by Publius Lentulus, the Shroud Of Turin as well as His 4 March 33 AD Tzu Wei chart.9 These dates/times are:

Table 3 outlines the events surrounding the birth and childhood of Jesus as previously deduced.

To eliminate congestion in Jerusalem, Jews celebrated two Passovers, one (non kosher) right before the other (kosher). Kosher Passover is celebrated by the Sanhedrin on 14 Nissan (beginning after sundown), the night of the full Moon. But for "out of town" Jews, like Jesus of Nazareth, the celebration occurred the day before. This is why the last supper occurred on (non kosher) Passover, yet Christ was taken off the cross before the Sanhedrin's kosher Passover had begun on the evening of 3 April 33 AD. Likewise, Joseph and Mary (being from Nazareth) were from "out of town". Religious law dictated that they reach shelter before that non kosher Passover night (on 30 March 3 BC). Kosher Passover would have been declared to start on the night of 31 March (since the full Moon began around 2 or 3 AM in Israel that night.

The point is that the 4 March 33 AD manifestation of the Christ avatar leads to a body type and DOB of Jesus that is consistent with a logical flow of events at the time of his birth. Jesus was born on a Saturday morning, before (official) kosher Sanhedrin Passover began that night. Incidentally, Talmage suggests that the Mormon Church was founded on 6 April 1830 (7 April in Israel?) based on a common Mormon belief that it was Jesus' birthday.19 Kosher Passover (fixed by the Jewish lunar calendar), was 7 April that year.20 This also indicates that Jesus was born on the first day of Passover. Table 1 shows that the full Moon occurred early on the morning of 8 April 1830 AD just as would be expected. Talmage appears unsure of Jesus' year of birth but assumes 1 BC. He concedes that Oxford and Cambridge scholars conclude Jesus was born 3 or 4 BC.21

It is controversial that Christ would have manifested for such a short time. However, the three synoptic gospels only record one Passover and it is they that offer a chronological history of Christ's activities. Some theologians, however, point to the three Passovers referred to in the gospel of John. But along with these three Passovers, there are references to three times Christ "turned over the tables of the money changers". Three such events would have been intolerable to rabbi Joseph Calipias (who engineered His crucifixion anyway).22 John's gospel is noted for spiritual insight, not its chronology. John simply wrote several stories to illustrate his points. Yarbro's assertion that Christ manifested for only a month is reasonable and the back-fit of the Tzu Wei chart to determine Jesus' DOB is one form of verification. Appendix C's analysis of Daniel 9:24-27 is another.

Table 3
Events Surrounding The Birth Of Jesus
DateEvent
4 BC Augustus Caesar issues a decree that a census of the Roman empire be taken in the spring of 3 BC (possibly for the ultimate purposes of taxation).
Pre 3 BC Quirinius, Governor of Syria10, implements Caesar's decree in a way which will disturb the Jews least. He conspires with the Sanhedrin to direct the Jews to keep the Passover at the place where their family records were held. Quirinius likely coordinated this action with Herod (Governor of Israel).
30 Mar. 3 BC Joseph and a pregnant Mary arrive in Bethlehem (6 miles from Jerusalem) on Saturday just before their (non kosher) Passover begins at sundown on 30 March and seek shelter.11
31 Mar. 3 BC Jesus is born on this Saturday morning at about 8:20 AM. Kosher (official) Passover began after sunset that evening.
3-2 BC The Magi12 visit Herod seeking the new born king of the Jews. They may have deduced the nominal year of Jesus' impending birth by applying the Tzu Wei astrological techniques13 to the prophecies of Daniel (appointed master of astrologers14 by Nebuchadnezzar). Daniel predicted the year the "anointed one" (Messiah) would appear.15 They compared the manifestation of the Buddha with these predictions, subtracting 35 years from Daniel's predicted year and arrived at the nominal birth year of the Jesus. Herod consults Jewish priests (the Sanhedrin)15 and discover that the "King of the Jews" was to be born in Bethlehem.16 He relayed this information to the Magi. The Magi apply astrological techniques to isolate specific dates when "king like" male children were born in Bethlehem. See Appendix C. They find the record of Jesus' birth and the address where Joseph and Mary were living, then depart for Nazareth.
17 Jun. 2 BC The Magi (oriental scientists) anticipated an eminent unique conjunction of Jupiter and Venus.17 It was one so close that the two planets appear to collide because their positions could not be resolved or separated by the unaided eye. They coordinated their visit and presentation of gifts to Jesus because they want to make a lasting impression. A "star" may have indeed led them to Jesus, because the Magi identified Jesus by using the "king" star in an astrology similar to the Tzu Wei Chinese astrology.
9/10 Jan. 1 BC Herod's soothsayers noted the total lunar eclipse18 on midnight of this day and predicted that it bode ill. Herod was besieged with problems. Among other things, he had recently executed one of his sons for trying to usurp his throne and he was suspicious of the other.
A little later Herod, not having access to the Magi's astrology, uses the only information he has available. He tries to kill the new born king and end the threat of yet another possible usurper of his throne. He put to death babies in the greater Bethlehem area born back as far as January 3 BC. Jesus may have remained safe in Nazareth (66 miles north of Jerusalem) even if his family had not fled to Egypt. Herod failed to order that the records in Bethlehem be checked for the current location of all male children born during that period. The Jewish historian Josephus records the death of Herod shortly after the 9/10 January eclipse.18

3. BUDDHA RELATED DATA

The Infinite soul manifested in the body of Prince Siddartha Gotama (Gautama) and he became the "Buddha" just as it manifested in the body of the man known as Jesus when he became the "Christ". The manifestation occurred under a pipal tree in what is now known as Buddh Gaya, India. In recognition of the day Gotama became enlightened, the Jodo Shinshu Buddhists refer to it as Bodhi day and celebrate it on December 8. According to the Theravada Buddhist tradition, however, this attainment occurred on the day of the full Moon of the month of Vaiskha. This corresponds to the day of full Moon in May of the solar calendar and is the reason why they commemorate this day in May. As Nakamura Hajime has pointed out, "According to the Indian calendar, Vaiskha is the second month of the year, thus in Chinese translations of Buddhist texts it is frequently cited as the eighth of February. This Chinese calendar system often changed, but according to the Chou dynasty calendar, the lunar month of November was regarded as the first month; thus the eighth day of the second month became December 8. This is the tradition the Japanese inherited and the date on which they commemorate his enlightenment. The Chinese lunar month may be implied, and a full Moon would not occur then. Obviously, there is room for confusion.

It seems that the Jesus/Christ team took pains to date important information about them by astronomical events (which can be computed by methods of logic and reason). Nothing less is anticipated of the Gotama/Buddha team. So it seems reasonable that the manifestation could occur during a full Moon during December. Table 4 indicates Buddha's dates of birth, death and manifestation. A 486 BC year of death is generally adopted in religious circles although the 368 BC date is now generally favored in scholarly circles as his actual year of death. Since Buddha lived 45 years after his enlightenment, there are at least five possible years for his enlightenment to have occurred, 589 BC, 531 BC, 528 BC, 428 BC or 413 BC. The Infinite soul likely manifested in December of 413 BC or 528 BC.
Table 4
Buddha's Birth, Death And Manifestation Dates
Year Of BirthYear Of DeathYear Of ManifestationOrganization
624 BC544 BC589 BCCeylon Buddhists23
566 BC486 BC531 BCLong Chronology24
563 BC483 BC528 BC Geiger23
463 BC383 BC428 BCShin Buddhists
448 BC368 BC413 BCShort Chronology24

December 413 BC saw the best full Moon (Moon opposite the Sun in RA) begin almost on midnight (Zulu time) on the 24th (Julian calendar) or well past midnight in Buddh Gaya, India. The winter solstice began on the 26th of December. See Table 5A. This date was regarded as the nativity of the Sun as days began to lengthen and its power increase from that turning point of the year. In the Julian calendar, 25 December was reckoned as the winter solstice (Pliny Natural History) as recently as 303 BC25, but it was around 289 BC that the Julian and Gregorian calendars coincide. Of course, by this time, the winter solstice would be occurring around 21 December.
Table 5A
413 BC Buddha Related Data
Julian Date/GMTSun's RA/Dec.Moon's RA/Dec. Event
24 Dec. 413 BC/01:08Z17:52:03/- 23:44.005:08:21/27:32.7Sun Rise
24 Dec. 413 BC/22:30Z*17:56:01/- 23:44.605:56:00/27:29.2 Best Full Moon
25 Dec. 413 BC/01:09Z*17:56:30/- 23:44.606:0:55/27:24.5Sun Rise
26 Dec. 413 BC/01:09Z18:00:57/- 23:44.806:54:58/25:59.7Winter Solstice
*Lunar Day 14, 15, 16 or 17 in India and China.
Lunar Day 13, 14, 15 or 16 EST USA.

Dates when the full Moon occurred on other possible years of his manifestation are presented in Table 5B. None fall on 8 December, considered (in religious circles) to be the date of his enlightenment.

Table 5B
Full Moon Dates For Other Possible Buddha Manifestation Dates
Julian Date/GMTSun's RA/Dec.Moon's RA/Dec. Event
10 Dec. 428 BC/17:25Z16:51:29/- 22:48.104:51:25/22:19.0Full Moon
6 Dec. 528 BC/19:15Z16:31:10/- 22:10.504:31:11/25:51.3Full Moon
10 Dec. 531 BC/11:00Z16:45:58/- 22:39.504:45:52/21:55.2Full Moon
12 Dec. 589 BC/12:25Z17:30:46/- 23:35.605:30:41/20:25.4Full Moon

Given the propensity for Infinite soul avatars to astronomically mark events in their (and their host bodies) lives, dates of around 24 to 26 December 413 BC would offer a likely manifestation time, but the 5 to 7 December 528 BC dates are close to the legendary 8 December date.

4. ASTROLOGICAL RESOLUTION OF THE BUDDHA C POINT

Vulcan's orbit is determined by the use of an IRAS point (designated the V point), a point derived from the manifestation of Christ (designated the E point) and a point derived from the manifestation of Buddha (designated the C point). There are at least three dates (24, 25, & 26) December 413 BC that could be the possible times of the manifestation of the Infinite soul in Gotama forming the Buddha. Isolating the exact date is required to precisely define the C point. The astrological form of the Tzu Wei Chart of Christ can be used as a model to isolate which of these days was compatible with the Infinite soul. Just like the Magi, we simply find which one contains the Tzu Wei king star in the personality house and that one specifies the correct date. The time of day (sunrise) is the same in all cases. Thus, the fundamental structure of a Tzu Wei astrological chart must be examined. A Tzu Wei chart is fundamentally different than a western astrology chart in that "stars" verses "planets" are frequently (if not always) presented. See Figure 1

The Tzu Wei chart is divided into twelve boxes, called houses. Each contains numbers identifying the specific "stars" used in this astrology. The houses contain numbers delineating fourteen (2 X 7) principal stars (P) that strongly affect the subject. Further, good (G) and bad (B) minor stars are also included, the former listed on the left side of the house and the latter on the right side. The stars are given Chinese or Vietnamese names and sometimes it is directly stated which astronomical objects they signify. For example, the Sun is labeled star 64 and Polaris is labeled star 104. Some astrological stars have no specified astronomical counterpart (they are just spots in the sky) and other associations are just not known. Star 104 is called the Tzu Wei "star" (meaning the king or the purple star) and is perhaps the most outstanding. This star gives this particular Chinese astrology its name.

The houses are assigned a number depending on their fixed geometric position in the chart. See Figure 2. Twelve possible labels describing the subject's personality(P), parents(PA), ancestors(A), property(PR), career (CR), social relations(SR), health(H), finances (FI), children(CH), marriage(M) or siblings(S) are assigned to a different house in a patterned format.

One house always becomes the personality house. But the geometric position of that house changes for each different month and hour. There are twelve different arrays of principal stars, and the applicable array changes for each day of the Lunar Month. The meaning of the stars change depending on the label of the house as well as which specific house they are in. The Tzu Wei principal star 104 is always present on the chart, but not necessarily in the personality of the subject. It must be associated with the personality house for an infinite soul avatar because they always manifest in the bodies of human beings that have had king soul personality types occupy them.


Figure 1. The General Format Of A Typical Tzu Wei Chart.

Christ's chart is slightly different from regular charts. The label sits astride the boundaries of two houses. This means that some of the good and bad stars may not apply (MNA). Of course, normal human beings can also have this configuration, although it is uncommon. The principal stars are the most outstanding as far as defining body type, although occasionally a minor star will add weight to the subject or color their hair (and temper). The body type may be determined by more than one principal star in the personality house. In particular, the Tzu Wei star (104) offers a tall healthy and attractive individual in houses II, III, V, VI, VIII , IX and XI. In Houses I, IV, X and XII, it offers a subject medium in stature appearing droopy and or humble. Other characteristics are offered as well, but in all houses this star is considered extremely favorable, presenting the image of a king.

The most important stars are the principal stars in the personality house (actually two houses in this case). These define Christ (and Jesus') body types as follows:


Figure 2. The Tzu Wei Chart For Christ.
(Lunar Day 13 at USA, Eastern Standard Time = Chinese day (11/14).)

PERSONALITY HOUSE (IX and X)
SIBLINGS HOUSE (VIII and IX) PARENTS HOUSE (X and XI) Note: Mark (6:3) records that Jesus had four brothers plus sisters and Plubius Lentulus reports that He had the color of new wine. The only intent of this application of the Tzu Wei is to verify body type, although Christ was known to have a female following, even Pilate's wife (Luke 23:27).

Table 6 compares Christ and Buddha's personality houses stars. Some Tzu Wei stars describe personality alone and these may not apply for the Infinite soul (verses a normal human) especially where fear is concerned. Christ had an additional principal star 63 because he manifested during at a house boundary. Additionally, some minor (good and bad) stars impact body type. Christ has star 28 (that colors the hair) in both house IX and X. There are minor stars that influence the personality alone and some of these may not apply even to the host body. However, Buddha's physical body must conform to the minor stars that adjust the body type and/or associate him with family:

Table 6
Comparison Christ And Buddha's Personality Houses Stars
NamePrincipal Star/HouseBody Type
Minor Star/House
Good
Minor Star/House
Bad
Minor Star/House
Christ104/IX, 83/IX, 63/X28/IX, 28/X, 98/X, 109/X 24/X, 33/IX, 38/IX, 56/IX, 96/IX, 107/IX, 109/X 7/IX, 28/IX, 28/X, 46/X 53/X, 55/X, 73/IX, 75/X, 98/IX
Buddha104/IX, 83/IX98/IX, 109/IX 38/IX, 41/IX, 90/IX, 109/IX55/IX, 98/IX

Figure 3. The Tzu Wei Chart For Buddha.*
(Lunar Day 13 at USA, Eastern Standard Time = Chinese day (11/14).)

PERSONALITY HOUSE (IX) SIBLINGS HOUSE (VIII) PARENTS HOUSE (X)

MARRIAGE HOUSE (VII) CHILDREN'S HOUSE (VI)

Note: the number of possible children shrinks from five to three to less than three to none. Thus, the Tzu Wei chart is estimating zero - three children, and probably less than two if he failed to have more children later in life.

Buddha, like Christ projected a handsome appearance - Star 104. The encyclopedia Britannica reports Prince Gotama is reported to have been reclusive but lovely (good to look upon) charming, possessing the greatest beauty of complexion, of sublime color, a perfect stature, a noble presence. This is not true of all infinite soul avatars, Sri Krishna was reported to be very dark. Gotama's father was a king of the Sakyas (a warrior cast who settled near the Himalayas) and claimed to be of the Gotama clan - Parents star 27. His mother gave birth on the full Moon day of the month and died seven days after his birth. His mother's sister raised him - star 86.

Sixty disciples went fourth to spread the teachings of Buddha just as eleven disciples went fourth to spread the gospel of Christ - Star 83. Buddha had at least one step brother, Nanda (implying a step-parent - Star 62. We are currently unaware of the total number of Gotama's siblings, but it is appears that his father remarried and produced at least one. All the ladies of the court offered Gotama/Buddha reverence. However, his wife refused to see him, saying that he would come to her if he still found any virtue in her (jealousy) - Star 45. Gotama/Buddha had at least one child, Rahula. It is unlikely that he fathered more after he became the Buddha because avatars give up sexual contact after the manifestation.

Gotama suffered six years of deprivation (rendering him to be almost of skin and bone) then he was tempted by Mara, the evil one. This sounds very similar to Jesus' forty days in the wilderness and being tempted by the devil. It is suspected that Jesus, like Gotama, endured this period before the Infinite soul manifested. This may be some sort of requirement to become an Infinite soul avatar. A robust body type (stars 83 & 104) may be required to sustain this deprivation without dying.

The Tzu Wei chart may be used to isolate the day of the manifestation of the Infinite soul into that of Gotama making him the Buddha. It appears that the Infinite soul manifested in Gotama on day 14 of the eleventh Chinese month (11/14). Buddhist legends record that Buddha became enlightened after completion of the night of the full Moon. This occurred 25 of December 413 BC, however the 24 or 26 is possible because the date of the full Moon can be difficult to uniquely identify. An investigation of the Chinese calendar between 1921 and 1980 revealed that the full Moon can fall on day 14, 15, 16 or 17 or the eleventh month, usually on day 15 or 16. The Tzu Wei charts are built for day 13 because the algorithm employed is configured for Eastern Standard Time in the United States of America. Chinese astrologically speaking, all we really know is that the Buddhic Infinite soul appears to have manifested in Gotama on (11/14) in Buddh Gaya, India and this Chinese date and that this is consistent with the the Full Moon found on 25 December in the Gregorian calendar.

Some estimate Gotama's date of birth to be around 8 April 448 BC.24 He was born in Rummindei, Nepal (27:29 N, 83:17 E) on, or just Before, the day of the full Moon (like Christ). He should have a Tzu Wei chart similar to Buddha's. Thus, the 104/83 stars must still be in house IX. A step-parent is indicated by star 30 instead of star 62. Then, he could have been born near 31 March (lunar day 14) 448 BC around 21:00Z. The full Moon occurred at about 21:00Z that day during the second Chinese lunar month of Chinese year of the Qui Serpent. This same time and day during lunar month 6 would also work (star 58). Incidently, Jesus had both stars 30 and 62 in his parents house, but these may not apply because of the birth on a house boundary. There is no collateral information to verify this date for Gotama as there is for Jesus. Buddha died on the day of the full Moon. His life parallels Jesus/Christ. Jesus was born the day before a full Moon, Christ manifested the day before the full Moon, and the crucifixion (Jesus' planned death) occurred on the day before a full Moon. There remains a possible one-day offset between the timeline of Jesus/Christ and Gotama/Buddha, and this offset is not understood.

The formation of religions following the manifestation of Infinite soul avatars leads to arguments of the form "my" avatar is better than "your" avatar. However, the somewhat similar formation of the Tzu Wei chart of both Christ and Buddha suggests they are similar. The charts seem to suggest that Christ's appearance (star 63) was one of a slightly fairer and more handsome man than Buddha's, but this is a matter of personal preference. Appearance is important to humans of both sexes, and it aids the Infinite soul avatar in interfacing with many people (an important part of its mission).

A survey was made of about 400 Tzu Wei charts one of the authors has prepared for individuals. Many of these were drawn from the workplace or from friends who were employed in a position of authority. The following statistical data was compiled:

Those with a king like personality were about 2.5 times that estimated by Yarbro. However, this may be partially due to the sampling of personalities from the business environment. The king soul types seek to guide and rule, seeing the world as their realm. Thus they will be drawn to a business or governmental environment. Alternately, the only valid description of someone with a king soul essence may be the stars 104/83 (and two other 104/? Star) combinations. Not all king soul types are actual kings or prime ministers of their counties or even leaders of large corporations. The king soul type experiences many roles in its sequence of lives, often being a slave (albeit a supervising slave).

Astrological considerations are employed to define the location of Vulcan when an avatar of the infinite soul manifests in a human body. Only the relative positions of the Sun and Vulcan "color" the personality of an Infinite soul avatar as it is perceived on Earth. For both Christ and Buddha, it is "unfortunate" to have to visit the physical plane. Gandhi, an avatar of the transcendental soul, considered Earth (or the physical plane) to be hell!27 From an astrological perspective, this forces both Christ and Buddha to have one astrological aspect in common, and it is an opposite. Squares are not permitted because the Infinite soul is configured to incarnate on the astral Sun. The Earth (and a physical human) "gets in the way" when an Infinite soul avatar manifests. This position specifies Vulcan's right ascension. The nominal configuration of the Sun and Vulcan has already been established for the Christ E point. Vulcan was found to be approximately directly opposite the Sun in both declination and right ascension. Vulcan must be opposite the Sun at the Buddha C point as well, but the declination of Buddha C point is free to be any value consistent with a co-planar orbit.

The Sun and Vulcan were found to be opposite for both Christ and Buddha (to within 1.5o or at most 3.0o) for a co-planar orbit. The only other aspect left is a "parallel". Valid parallels occur when the two "planets" involved (the Sun and Vulcan) are within 1.0o, or at most 1.5o, in the (absolute) numeric value of the declination (i. e. irrespective of the sign or "north" or "south"). When the declinations are of the same sign (e. g. both north or south) it is described as a normal "parallel". When the declinations are of opposite signs (e. g. one north and the other south) it is a "contra parallel" and the bodies are truly opposite. The resulting errors in a right ascension and declination could be 1.5o and 1.0o respectively for both the Christ E point and the Buddha C point.

Buddha has a normal "parallel" aspect in declination and Christ has a "contra-parallel" aspect in declination. Astrological aspects color important perspectives of the manifestation of the Christ and Buddha avatars. Some astrological sources treat contra-parallels like opposites implying that they, too, are unfortunate for the individual involved.28 In the case of Buddha, a normal "parallel" is involved because both the Sun and Vulcan are at the same negative (southern) declination. A normal parallel is considered favorable and treated much like a conjunction. Parallels form intense influences on the individual involved, and this should be true for the manifest Infinite soul as well. It is interesting to notice that Buddha was honored and respected in his own land, even to the point that a country, Bhutan, is named after him. Even his human counterpart was born of royalty. Christ, on the other hand, was and still is reviled and denigrated by the country of his birth (Israel) even until this day. He was born a commoner. Yet today, vast numbers of people throughout the world revere and honor both these avatars. It seems like the "contra-parallel" intensely worked against Christ in the land into which He was born whereas the normal "parallel" intensely worked for Buddha in the land into which he was born.


5. PROBABLE VULCAN ORBITS

Computation of Vulcan's orbital parameters was originally attempted using four elements of information:

Given that Vulcan related points must be co-planer, these four data elements are adequate to permit a computation of its orbital parameters. Vulcan, very close to astrologically opposite (180o) the Sun, defines its right ascension at the times the Infinite soul manifests.
One angular degree (+/-1o) of miss-match is permitted and these contribute to the residual errors in the orbital parameters.

The manifestation of the Infinite soul in Jesus was thought to occur in the morning of 4 March 33 AD (in the Gregorian calendar). It is now believed that date specified is in the Julian calendar instead. The manifestation of the Infinite soul in Gotama was thought to be on the mornings of either 8 December 413 BC or 3 January 412 BC in the Gregorian calendar. This has been changed because the Moon was reported to be full on the day of Buddha's enlightenment. That date has now changed to 25 December 413 BC in the Julian calendar. Notice that this one-day shift changes the right ascension of Vulcan by 1o for computational purposes (Vulcan itself moves very slowly takings years to move 1o. Still only a small modification of some of Vulcan's previous orbital parameters results from these changes.

Our software was use to investigate many possible configurations of the manifestation of Christ and Buddha along with the reported location of the IRAS point. It was concluded that the Christ E point was generally opposite the Sun to form a viable orbit. Thus, our software places Vulcan exactly opposite the Sun in right ascension and declination at the time of his manifestation. The difference in the absolute values of the Sun's and Vulcan's declinations is exactly 0.0000o by definition. Our software locks the IRAS point and the declination of the Christ (E point) when finding potential orbit (because it was felt that much data was available to validate this point). The right ascension of the Buddha C point is specified opposite the position of the Sun on the date of his manifestation. However, it is free to vary in declination to accommodate a co-planer point. Considering the 25 December 413 date for the C point, the software computes Vulcan to be at a declination of - 22.5995o. However, the declination of the Sun is actually - 23.7500o. The difference in the declination is the error or miss- match of the Buddha point (1.1505o). The daily change in the solar declination is around 0.05o at this time. The total error is reflected in Vulcan's orbital parameters, specifically the inclination and longitude of the ascending node. A root mean square error of about 0.813o in declination is anticipated because this error is really shared by both the Buddha C point and the Christ E point. The allotment of the respective portions of the error budget to each point is unknown.

Vulcan does not have to be directly aligned with the Sun during Buddha's and Christ's manifestation. It could be within a few (possibly only one) degree of this value. So dates will be assumed that more accurately describes Vulcan's position, and those dates could be 24*, 25*, 26*, 27* or 28* December 413 BC for the Buddha point and 3*, 4* or 5* for the Christ point. From the positions relating to any one of those dates, we can compute an orbit for Vulcan. Table 7 compares these new Vulcan orbits under the assumption that they fit the Dawn Of Mankind boundary condition illustrated in Table 8. Following are the manifestation dates associated with the designated orbits.

Table 7
Comparison Of Vulcan's December 413 BC Orbital Parameters
Orbit NamePeriodEcc.Inc. Arg.Peri. Long. Asc. Node/Year#
C"(-1)E(-1)V4958.20.536 48.29o258.46o 188.06o/33.891
C"(0)E(0)V4963.70.539 48.44o257.81o 189.04o/33.904
C"(0)E(-1)V4968.90.53348.29o 258.46o188.06o/33.903
C"(1)E(1)V4968.10.54248.60o 257.16o 190.03o/33.910
C"(1)E(0)V4974.40.536 48.44o 257.81o 189.04o/33.917
C(1)E(-1)V 4978.00.53049.29o 258.46o188.06 o/33.916
Mean4969.00.536 48.56o 258.03o188.88o/33.907
Std. Dev.+/- 5.4+/-0.003 +/- 0.16o +/- 0.29o+/- 0.75o/+/- 0.008
C"EV C"(0.5)E(0)V 4969.00.53748.44o 257.81 o189.04 o/33.910
# Add one year to convert to year AD.
The Mean is the average of the above six orbits as any could be valid from a Tzu Wei astrological (and later discussed Dawn Of Mankind) point of view. The 104/83 king star fails after 25* December, but the 1o uncertainty permits the 26* December calculation to be valid. The C(-1)"E(0)V orbit is rejected as it does not support the Dawn Of Mankind discussed next in Section 7. The C"EV orbit (C point 12/25.5/413 BC; E 03/04/33 AD) closely fits the Mean Orbit Elements value, but is properly generated and will be used as the baseline orbit for further error calculations.

6. VULCAN'S LOCATION AT THE DAWN OF MANKIND

According to the ASTRO-METRIC theory, planets can only (initially) be formed by a multiple (at least binary) star system. However, one of those "stars" could be a "dark star". Biological life can form almost anywhere, even on comets as the Panspermia theory suggests.29 But sentient life needs to form in a multiple, at least binary, star system. As advanced biological life evolves, it chooses a cyclic time to bear progeny, one that is favorable to their survival. Consider, for the moment, sentient life forming on one or more planets (or satellites) orbiting one of the stars in a multiple (binary) star system.

Consider the following analogies. The solar system hosting an Ensouled Intelligent Life Form (EILF) is analogous to the Earth. The Moon is an individual human's "planet of fecundation". Analogously, another star in the multiple star system acts as the Moon, becoming the EILF's "planet of fecundation". When the EILF first forms, astral radiation from the dominant black hole in the region (that of the galactic center or one near the center of a globular cluster) is used. This black hole is analogous to the Sun (and gives us individual ensoulment). The astrological aspects the other star makes with the galactic center when the EILF is just being born (e. g. the Dawn Of Mankind) colors its "group personality".

Yarbro claims mankind as we know it today became ensouled about 50 to 60 thousand years ago.30 This estimate is further supported by archeological data defining the earliest known human culture, the Mousterian culture - GrN 2572, from an excavation around the Mussolini Canal in Italy. 31 It was dated to 55,950 +/-500 BC. It is interesting to notice that around this time, the galactic center was opposite (in right ascension) the Vernal equinox. Astrologically speaking, the galactic center must be conjunct or opposite the Vernal equinox to support the formation of a sentient species. Previously, the "group soul" was one of an animal and that animal (as with many land mammals) gave birth in the spring. It was necessary to give the baby animals the warm spring, summer and fall months to mature so they could be relatively self-sufficient and survive.

The Dawn Of Mankind (DOM) occurred when mankind changed from an animal species (governed by an exterior soul) to an EILF with beings having an internal soul. The transition from group to individual soul came in the spring because there had to be a smooth transition between man (the animal) and man (the ensouled creature of reason). Thereafter, men were born with an indwelling soul. The formation of a sentient species is somewhat the same as the formation of an Avatar (such as the Infinite soul which is the "Essence Twin" to all humanity). A sentient species is a primitive physical manifestation of an avatar. It is basically the group spirit of an organism that is being ensouled (Homo Sapiens in our case). It is broken into billions of pieces, with each one sent down to dwell within a selected individual organism. This arrangement must be aligned with the galactic center because this is the source of the "astral radiation" that permits the fragment of the animal's group spirit to be inserted into the organism at birth. The personality of each one of us is most strongly influenced by the "Rising Sign" in western astrology or the "birth hour" in various forms of Chinese astrologies. This parameter basically involves the angle from the galactic center each one of us assumes at our time birth.

Should the Sun, Vulcan and the galactic center be at some astrological aspect to one another at the DOM, it can influence the entire tenor of mankind. Squares (90o) and opposites (180o) are unfavorable aspects (afflictions) manifesting fears in our collective EILF (or group mind). Trines (120o), sextiles (60o) and conjunctions (0o) are favorable aspects. A Vulcan well aspected to the galactic center bring benefits. Vulcan parallel the galactic center (and the Sun at the first point of Aires) is like a favorable aspect (a conjunction), and offers us (a warrior species operating out of the action polarity) an intense zest for life (fighting, exploring and emphasized sexuality). See The Personality Of The Soul, see Table H-0 But Vulcan square or opposite the galactic center at the dawn of mankind (DOM) can be anticipated because we cling to the negative pole of spiritualism, faith (its positive pole is "verification"). Our spiritualism is engaged with intensity as well. This affliction attacks mankind's action oriented polarity generating our most popular Chief Feature, Stubbornness, see Table H-1 (a fear of change). Change is what we can do best, but what this affliction causes us to resist the most. For example, this fear makes us slow learners because we resist new ideas. Vulcan, and its association with avatars, generates religion. Thus, we vigorously adhere to unverified spiritual assumptions (assumed to be true based on faith) and take action (go to) war to support religious causes. Other negative influences are:

See Data From The Dawn Of Mankind section of this web site for details. Vulcan's location at the DOM relative to the galactic center is listed Table 8. The galactic center's location is defined by a black hole at its center whose J2000 ECI (Earth Centered Inertial) co-ordinate are:

Table 8
Astrological Aspects for Vulcan at the DOM
YearVulcan's RA/Dec.
C"(0)E(0)V Orbit:
Mean Orbit:
C"(1)E(0)V Orbit:
Astrological Aspect
C"(0)E(0)V
Mean
C"(1)E(0)V
Miss-Alignment
C"(0)E(0)V
Mean
C"(1)E(0)V
-55575
277.2o/-10.0o
283.3o/- 15.4o
290.4 o/-20.8o
~Square/~Parallel
- / -
Nothing/Nothing
7.2o/1.5o
- / -
- / -
-55595
275.2o/-8.5o
281.0o/-13.7 o
287.6o/-1.0o
Square/Parallel
-/-
Nothing/Nothing
5.2o/0.0o
- / -
- / -
-55616
273.3o/-7.0o
278.8o/- 12.1o
284.9o/-17.2o
Square/~Parallel
-/-
Nothing/Nothing
3.3o/1.5 o
- / -
- / -
-55655 269.9o/-4.3o
274.9o/- 9.0o
280.3o /-13.8o
Square/Nothing
Square/Parallel
Nothing/Nothing
0.1o/ -
4.85o/1.04 o
- / -
-55660 269.5o/-4.0o
274.4 o/- 8.7o
279.8o/-13.4o
Square/Nothing
Square/Parallel
Nothing/Nothing
0.5o/ -
4.4o/0.17o
- / -
-55680 267.9o/-2.9o
272.5o/- 7.2o
277.7o/-11.8o
Square/Nothing
Square/Parallel
Nothing/Nothing
2.1o/ -
4.0o/1.5 o
-/-
-55703 266.2o/-1.3o
270.6o/- 5.5o
274.7o/-9.9o
Square/Nothing
Square/Nothing
Square/Parallel
3.8o/ -
0.6o/ -
4.7o/1.4o
-55723 264.2o/-0.14o
268.9o/- 4.3o
273.5o/-8.4o
Nothing/Nothing
Square/Nothnig
Square/Parallel
- / -
1.1o/ -
3.5o/0.1o
-55745 263.0o/1.2o
267.1o/- 2.8o
271.4o/-6.9o
Nothing/Nothing
Square/Nothing
Square/~Parallel
- / -
2.9o / -
1.4o/1.6o
1 st. Aires
-55752.7
Gal. Cent.
262.4/1.7
266.5o/-2.2o
270.8o/- 6.5o
Nothing/Nothing
Square/Nothing
Square/~Parallel
- / -
3.5o/ -
0.8o/ -
-55950 250.2o/11.5o
253.3o/8.5o
2 56.3o/-5.5o
Nothing/Nothing
Nothing/Nothing
-/-
- / -
- / -
-/ -

The first of the last two precise alignments of the GC with the First Point of Aires occurs on a date our software described as year -55751.7029. Our software lists as T = 1998.9993 at J2000. At T = 0 is on 01/01/0001 AD at GMT = 00:00:00.0 (Gregorian Calendar). The GC is opposite the First Point of Aires (in right ascension) on about -55752.7036 BC in the Gregorian calendar.

Table 8 displays Vulcan's right ascension/declination (in True Of Date coordinates) as a function of time for the new orbits (using 25* and 26* December as Buddha's probable date of enlightenment). A precise alignment of the galactic center and the Vernal equinox never occurs. ECI True of Date coordinates (at 57751.7 - before J2000 - or -55752.7036 before 01/01/0001 AD at GMT = 0.0 measured in Gregorian years of 365.2425 days) indicates that the galactic center directly opposite the First Point of Aires in right ascension but not in declination. The galactic center coordinates are then:

Both Vulcan's right ascension and declination form two simultaneous astrological aspects between it and the galactic center at the DOM. A 6o orb (separation) in right ascension between "planets" is permitted in the astrological aspects.32 In this analysis, Vulcan and the galactic center would both be considered "planets". Parallel aspects occur when "planets" have much the same value declination (irrespective of their positive or negative value) A maximum orb of 1.5o or less miss-ascension is permitted. A 3o orb between "planets" and "positions" (like "Dragon Head" or in this case, the Vernal equinox) is permitted. Thus, this places a bound of about +/-200 years on the 55752 BC point because the First Point of Aires drifts about 2.8 o during this time. Drift beyond this value would destroy the astrological association needed to form a sentient species.

There are certain galactic conditions that are necessary, but not sufficient condition to be met when a sentient species is formed. But it is the astrological aspects that define the "burden" that a sentient species must overcome in the course of its evolution. Apparently, the "parallel" of a star (even a dark star like Vulcan) to the galactic center is necessary when the sentient species is formed, and this must occur at the (periodic) time of birth of the creatures of the species just before it became sentient.

Considering Vulcan's orbit as defined by any of the dates assumed to be the one of Buddha's manifestation, Vulcan's right ascension is found to be square to both the galactic center and Vernal equinox as well as parallel to the galactic center at the DOM, just as anticipated. From an astrological point of view, the orbits defined by the 25* and 26* December Buddha points yield acceptable Vulcan positions specifying the DOM since both a square and a parallel exist. They are also within the bounds of the earliest human culture dated by archeologists at 55,950 +/500 BC archeological point. Orbits defined by the 24 December Buddha point fails to offer this parallel and square coincidentally.

The C"(1)E(0)V (26* Dec.) orbit is the best one to form the DOM from an astrological perspective. Vulcan is parallel the galactic center at -55723, only 50 years before an almost precise alignment ( 0.7o) of the 1 st. Point of Aires with the galactic center occurs. The GC appears to drift eastward (increasing RA) with increasing time from the Vernal equinox at a rate of 1.396o per century. Vulcan is at 277.44o, within 3.44o of a perfect square.

Nevertheless, the C"(0)E(0)V (25* Dec.) orbit also qualifies. Vulcan is parallel (same declination) the galactic center at -55595, 158 years before a precise alignment (2.2o) of the Vernal equinox with the galactic center occurs. Vulcan is at 275.2o, within 5.2o of a perfect square.

Western astrologically speaking, an orbit generated by Buddha's manifestation on 25*, 26* or 27* December 413 produces all a square and parallel at the birth of mankind at or near -55752.7 when it should theoretically happen. These orbits all are consistent with the legends of Buddha manifesting after the night of a full Moon. Since Vulcan is thought to be within 1o (4 minutes) of this position, the 25* or 26* December orbits would most likely apply. Nevertheless, the 25* December orbit - C"(0)E(0)V is preferred because that date is the one most consistent with the full Moon legend, the Chinese (11/14) astrological data as well as the western astrological DOM data.

7. OTHER POSSIBLE VULCAN ORBITS

Chinese and western astrological conditions limit the possible dates Buddha could have manifested in the host body of Gotama. The king star combination (104/83) cannot distinguish whether the 24 December or 25 December dates in 413 BC is the correct one. However, it may isolate which year is correct. The Chinese zodiac is composed of twelve animal signs designating a twelve year cycle (e. g. Rat (+), Ox(-), Tiger(+), Rabbit(-), Dragon(+), Snake(-) Horse(+) . . . Pig(-)) and each of these years can have five prefix pairs keyed to a + or - year. These are Giap(-)/Ki(+), At(-)/Canh(+), Tan(-)/Binh(+), Nham(-)/Dinh(+) and Qui(-)/Mau(+). Thus, the total cycle is 6 times 10 (five "negative" and five positive year signs), or 60 years. There are also five periods that go with the prefix pairs. These are Water, Wood, Metal, Earth and Fire. Every year, there are twelve lunar months (occasionally a leap month) and twelve two-hour time periods designated by the same twelve animal signs.

There are at least five different possible years listed for Buddha's enlightenment, and astrological techniques can be used to elliminate some of these. Since the Infinte soul manifested in Gotama at daybreak, the Buddha was formed during Dragon hour (winter)/Rabbit hour (summer). Thus, he must have been formed during Chinese lunar months 5/6 or 10/11 respectively to have the 104/83 star configuration as does Christ. These restrict the Personality house to be in either House III or House IX. Having this king star combination (104/83) configuration in the IX House near a full Moon is only supported by the Chinese yearly prefixes listed in Table 9.
Table 9
Acceptable Astrological Prefixes and Lunar Days*
Water (days 14 & 15) At(-)/Canh(+)
Wood (day 13) Qui(-)/Mau(+)
Fire (day 14) Tan(-)/Binh(+).
*Lunar Day 13 at USA, Eastern Standard Time = Chinese day (11/14).
Further, if Buddha's Tzu Wei chart is to be similar to Christ's, he must be born in a year with the prefix of Qui(-)/Mau(+). Having this configuration in the III House near a full Moon is only supported by Metal (on day 13) that can only form in the years with a Nham(-)/Dinh(+) or At(-)/Canh(+) in their prefix. But the charts would not be similar to Christ's chart. Thus, the only suitable prefixes for the Chinese year found in Table 10 are Mau (413 BC) and Qui(428 & 528 BC).

The parents house (House X) may also help resolve which year Buddha became enlightened. His mother is known to have died shortly after his birth, and he had a step-brother (implying a step-parent). The following stars in the parents house indicate a step-parent:

Stars 30 or 58 or 62. Either star indicates a step-parent.
Star 13: A parent has been lost through death or divorce. Subject may have a step parent
Stars 11 or 29: With star 13 and star 62, subject has a step parent.

Star 62 falls in House X for male subjects who associated with the period Wood and born in a positive year. This would exclude Christ, but include Buddha if he was enlighten during the Mau Dragon year (413 BC). Star 11 applies to House X in the Mau Dragon year, and star 29 applies to House X in the Canh Horse year. Star 30 only falls in House IX if the subject is born in lunar month 2 and star 58 falls in House X if the subject is born in lunar month 6. But the 104/83 stars would not be present near a mid-month position for this lunar month. Thus, these stars seem not to apply. Thus, the presence of a step-parent is certainly indicated in the Mau Dragon year by star 62 and supported by star 11. Further, star 29 in the Canh Horse year only marginally suggests the presence of a step- parent should Buddha have been enlightened during that year. Certainly, lunar month 6 is ruled out. Thus, this step-parent test rejects all but the Mau Dragon (413 BC) date for Buddha's enlightenment.

Buddha is reported to have manifested day of the full Moon. These dates are also acknowledged in Table 10. A full Moon occurred at about 22:30Z on 24 December 413 BC, but the 23 or 25 of December could also have been remembered for an almost full Moon. The other dates listed in Table 10 are in accordance with a full Moon occurring earlier.

Table 10
Dawn Of Mankind Evaluation Of Buddha's Enlightenment Date
Buddha's Enlightenment Date
Julian Date/GMT
Chinese Year
Full
Moon
Galactic Center
Vulcan Parallel.
Vulcan Square
Parents House
Step-Parent Stars
11, 13, 29 or 62
King Star Present
104/83 Combination
Lunar Day*
24 Dec. 413 BC/01:08
Mau Dragon
Almost No@
No@
62 - Yes
11 possible
Maybe
12, 13, 14 or 15
25 Dec. 413 BC/01:09
Mau Dragon
Yes Parallel
Square
62 - Yes
11 possible
Maybe
13, 14, 15 or 16
26 Dec. 413 BC/01:09
Mau Dragon
Almost Parallel
Square
62 No
11 No
No
14, 15, 16 or 17
27 Dec. 413 BC/01:09
Mau Dragon
No Parallel
Square
62 No
11 No
No
15, 16, 17 or 18
28 Dec. 413 BC/01:09
Mau Dragon
No Parallel
Square
62 No##
11 No
No
16, 17, 18 or 19
10 Dec. 428 BC/00:46Z
Qui Ox
Yes No
No
62 - No
11, 29 - No
Maybe
13, 14, 15 or 16
6 Dec. 528 BC/00:43Z
Qui Chicken
YesContra No
No##
62 - No
11, 29 - No
Maybe
13, 14, 15 or 16
10 Dec. 531 BC/00:46Z
Canh Horse **
YesContra Parallel#
Square
11, 13, 62 - No
29 - Yes
Maybe
13, 14, 15 or 16
20 Dec. 589 BC/00:53Z
Nham Monkey **
YesNo
No
13, 29, 62 - No
11 - Yes
Maybe
13, 14, 15 or 16
@Maybe Parallel/Square since a 1o error produces a (25* December) C"(0)E(0)V orbit.
*Lunar Day 13 at USA, Eastern Standard Time = Chinese day (11/14).
**Prefixes of Canh and Nham astrologically ruled out.
#But more than 5 o separation of the DOM parameters exists at - 56,200BC nullifying this configuration.
## More than 220 years of DOM/Vernal equinox Seperation

Isolation of the best fit for the dates in 413 BC is determined by the two DOM astrological boundary conditions (a parallel and a square) as well as being supported by archeological data) (as Table 8 indicates). The absence of a full Moon the day before 27 December and two days before 28 December rules out those dates too, even with a 1o error. Only the 24 and 25 December 413 BC dates appear astrologically possible. But the 24 December date could be ruled out by the lack of a previous full Moon and the inability of Vulcan to generate a square if it is almost precisely aligned with the Sun on that day. Only the possibility of the 1o miss-alignment spares this date from being completely ruled our. Thus, Buddha manifested in 413 BC (the year most favored by scholars), with the most likely date being 25 December.

Table 10 also considers other possible years, 428, 528, 531 and 589 BC, and a Julian date computed based on a full Moon occurring previously. Shifting the date backwards by 15 days only changes the declination of Vulcan by about 1o. Thus, the Sun may always be parallel to Vulcan at the C point for any of these possible years. However for all these years (other than 413 BC) a simultaneous square and parallel does not exist anywhere near the theoretical DOM time(55753 BC) except in one case. Considering the 528 BC date, an aspect does exist, a contra parallel. This is a serious astrological affliction and, if it exists, it will severely influence all mankind in a most adverse way.

Astrologically, an Infinite soul is like an entire sentient species (that's why they are called infinite souls). There are few solar system astrological alignments that affect them. But a contra parallel is one, and one with Vulcan afflicted Christ's manifestation. That's why He was not with us long. Two arguments can be advanced. One is that his demise was not by natural causes, because he was crucified by members of a sentient species. So this does not relate to a natural disaster like a comet strike. The second argument is even simpler, He just did not last long among us, and the contra parallel was the cause. Expanding on this thesis are the following arguments.

Table 11 is similiar the Table 7 and illustrates slight variances in Buddha's date of enlightenment. There is a slight preference for the 413 BC (C"EV orbit) rather than the 528 BC (C*EV Orbit) date for Buddha's manifestation because scholars prefer that date. However, we are not a very scholarly species. Further, many of the secondary stars describing describing Buddha's family are missing. Notable is absence of the step parent star (Star 62). Also missing is stars describing the marriage (Stars 32 & 60) and children (Stars 7 & 36). There are no viable replacement stars except for step siblings. But the consequences of choosing the wrong orbit are enormous as the 528 BC point leads to the prediction of a very stubborn human species. Should we fail to recognize our stubbornness and not take action against the potential comet threat, mankind could be destroyed, either by the next strike or the subsequent one. The consequences of not recognizing the difference between these simple orbit elements could mean the difference between survival and extinction of the human race.


Table 11
Comparison Of Vulcan's December 528 BC C*EV Orbital Parameters
Orbit NamePeriodEcc.Inc. Arg.Peri. Long. Asc. Node/Year#
C*(-1)E(0)V5050.050.517448.44o 257.803o189.041/34.91o
C*(-1)E(-1)V5051.160.512648.29o 258.454o188.056/33.99o
C*(0)E(0)V 5058.100.515548.44o 257.803o189.041/34.01o
C*(1)E(0)V5066.340.513548.44o 257.802o189.041/34.02o
C*(1)E(-1)V5067.810.508648.29o 258.453o188.056/34.013o
C*EV - Mean Orbit Elements5058.690.0.513548.38 o 258.063o188.647o/34.19
# Add one year to convert to year AD.

Table 12 compares the C"EV and C*EV orbits. Note that the C"EV favors the therotical DOM while the C*EV favors the archological data.

Table 12
Astrological Aspects for Vulcan at the DOM
YearVulcan's RA/Dec.
C"EV Orbit:
C*EV Orbit:
Astrological Aspect
C"EV
C*EV
Miss-Alignment
C"EV
C*EV
-55650 275.2o/- 9.1o
104.3o/17.6o
Square Failing/Parallel
Nothing/Nothing
5.2o/1.1o
- / -
-55660 273.4o/ -8.4o
103.4o/17.0 o
Square/Parallel
- / -
3.4o/0.1o
- / -
-55680 272.4o/- 6.9o
100.6o/21.6o
Square/Parallel
Nothing/Nothing
2.4o/1.5o
- / -
1 st. Aires
-55752.7
Gal. Cent.
270.7o/-6.3o
94.3o/10.2o
Square/Nothing
Square/~Contra Parallel
1.67o/ -
4.3o/1.7o
-55755 266.1o /- 1.9o
94.1o/10.1o
Square/Nothing
Square/~Contra Parallel
3.9o/-
4.1o/1.6o
-55775 264.6o/- 0.7o
92.0o/8.4o
Nothing/Nothing
Square/Contra Parallel
- / -
2.0o/0.1o
-55790 263.5o /0.2o
92.0o/8.4o
Nothing/Nothing
Square/Contra Parallel
- / -
2.0o/0.1o
-55950 253.1o/8.7o
70.6o/-10.5o
Nothing/Nothing
Square/Contra Parallel
- / -
0.4o/1.4o


8. ERROR ANALYSIS AND FORTUITIOUS CORRELATION WITH THE IRAS POINT

See Appendix D computes the covariance matrix for the case that Vulcan is the suspected IRAS point. Further, within a portion of this appendix is a subsection devoted to determining how much variance on the V (IRIS) point can occur while still sustaining the required astrological conditions. Specifically, a Vulcan parallel in declination and a square in RA to both the Sun and the Galactic center at the theoretical Dawn Of Mankind. A further restriction is that the Galactic center must remain within 3 degrees of the Sun at the Vernal Equinox. Specifically:

  1. The variation of Vulcan's declination (DEC) is limited to +/- 1.5o of the Galactic Center/Vernal Equinox alignment (at about -8.5 o).
  2. The variation of Vulcan's right Ascension (RA) is limited to +/- 5o of 270o RA. However this must occur while condition 1 is in effect.
  3. The variation of the time of these occurrences is +/- 220 years from the best DOM alignment possible occurring at -55752.
  4. All three of these conditions must be met by some of the data points in a given orbit segment limited by the "parallel" (condition 1).

Direct simulation of the possible orbits was obtained by moving the V (IRAS) point in declination and right ascension independently to determine when the above four conditions failed to be met. The results are listed in Table 13.
Table 13
2 - Sigma Error Values For Vulcan Orbital Parameters
Error CasePeriodEcc.Inc. Arg.Peri. Long. Asc. NodeTime Of Aphelion
IRAS Pt. Vulcan11.5 years0.00850.23o 0.90o1.3o1.0 year
IRAS Pt. Not Vulcan +30.4/-24.3 years +0.0881/-0.0348 2.9o 3.1o +3.195o/-9.049o 1.0 year

For the case where Vulcan is not the suspected IRAS point a V point shift of 22.0o in Right Ascension and 11.75o in Declination is found to permit the same stable astrological bounds. That is, both a square and parallel to the galactic center exist at the Dawn Of Mankind. The other parameters of the C"EV orbit is held stable. Thus, Vulcan is likely the IRAS object in question or within 11.0o of RA and 5.88o of declination of it. The relative size of this spot of uncertainty compared to the area of the celestial sphere is given by:

[sin(20.9)] X [2 X (error in Dec.)] X [2 X error in RA]/4 X Pi = 2.8 x 10- 2

There are three such "spots" on the celestial sphere where a square or opposition of Vulcan to the galactic center at the Dawn Of Mankind can occur. But there are two possible orbits (C"EV and C*EV) (although the latter one is less possible than the former one. Thus, the probability that these results are only a fortuitous correlation of the data is about 16 parts in a hundred. Probabilities of fortuitous correlation smaller than 0.1 is often taken by "bookies" as certainty as they usually will not accept a wager on such odds. One as small as the value computed here implies IRAS object (1732+239) possibly could be an infrared image of Vulcan or that Vulcan is close to it. This IRAS object was one of the first detected and initial examination suggested that it may be from a near-by source. The additional observations predicted by the orbit computed herein further strengthen that association.

9. CONCLUSIONS

The preceding analysis indicates two possible sets of orbital parameters for Vulcan, designated the C"EV and the (astrologically less likely) C*EV orbits respectfully. The orbit elements are deduced from both physical data and anticipated astrological configurations predicted at the times of manifestation two major avatars (Christ and Buddha). Both orbits indicate that Vulcan was at or was near an IRAS object circa 1982. The anticipated aspect of Vulcan to the galactic center at the "Dawn of Mankind (DOM)", utilizing either set of orbit elements, explains easily observed human limitations. The probability of fortuitous correlation that this aspect would occur is only 16% (region defined by DOM restriction). Probabilities of fortuitous correlation of one part in then (0.1) are considered far too low to be coincidental. Thus, there is about one in six chance that IRAS object (1732+239) is Vulcan.

Four basic data elements and two different possible manifestation times (413 BC and 528 BC) for Buddha leads to two sets of (C"EV and C*EV) orbital parameters respectively.

Following are orbit element comparisons for the C"EV & C*EV orbits, Forbes's orbit (derived from comet aphelia data), the previously derived C'EV orbit and a Buddha & Christ comparison.
Past And Present Vulcan Orbit Element Comparisons
ParameterForbes
Orbit
Old C'EV
Orbit
C"EV
Orbit
C*EV
Orbit
No IRAS (DOM)/IRAS
C"EV/C*EV Error
Period (years)5000 +/- 2505030 +/- 126 4969.05058.7+30.4;-24.3/+/-11.5
Orbital Eccentricity - 0.545 +/- 0.014 0.5370.513+0.09;-0.04/+/-0.009
Orbital Inclination45o49.1 +/- 1.2o48.44o48.44o+3.1 o/-9.0 o /0.23o
Long. Ascending Node185o192 +/- 4.8o189.04o189.04o1. 3o/1.3o
Argument Of Perihelion - 256 +/- 6.4o257.81o257.803o+ 6.1o;-13.5o / +/-0.9o
Time of Aphelion - 1970 +/- 1.01970 AD1970 AD +/-1Year
Time Ascending Node - 19.12 AD 34.91 AD 35.19 AD-
Time Of Perihelion - 546.00 BC515.5 BC560.35-/ +/-12 Years

The manifestation of the Infinite soul (a spiritual enigma) into the bodies of Jesus and Gotama formed the Christ and Buddha avatars. Two possible dates are found for Gotama's. The following table shows that their astrological aspects occurring at their time of manifestation color their existence.
Jesus/Christ - Gotama/Buddha Comparison
Human/AvatarBirth/ManifestationDate/Date
Jesus/ChristDay Before Full Moon 31 Mar. 3 BC*/4 Mar. 33 AD
Gotama/BuddhaDay Of Full Moon 31 Mar. 448* BC/24 or most likely 25 Dec. 413 BC
Gotama/BuddhaDay Of Full Moon 12 April 563 BC/6 Dec. 528 BC**
*Lao Tzu's (c. 300 BCE) birthday 5 March
**A slightly less possible date for the manifestation of Buddha.

Infinite soul Avatars are similar to an entire sentient species. Similarly, astrological aspects at the Dawn Of Mankind colors our existance.
Mankind/Avatar Astrological Aspects
Infinite Soul Avatar
or Mankind
Astrological Aspect Consequense
BuddhaparallelHe will be favorably viewed by many while incarnate
Christcontra parallelHe will be unfavorably viewed (crucified) while incarnate
Mankind
C"EV Orbit
parallel
square
Successful Active Species
Negatively impacts its spiritual tenor - e.g. religious wars
Mankind
C*EV Orbit
contra parallel
square
Active Species, stubborn resistance to change or innovation
Negatively impacts its spiritual tenor - e. g. religious wars

The Vernal equinox is postulated to be required to be opposite the galactic center at the Dawn Of Mankind. Archeological data supports this assumption with one of the earliest finds at 55,950 +/-500 BC. The Dawn Of Mankind appears to be around 55,655 to 55,680 BC (if mankind is formed with Vulcan in a near C"EV type orbit) or 55,755 to 55790 (if mankind is formed with Vulcan in a near C*EV orbit) compared to a theoretical value of 55,752.7 BC. Both sets of orbit elements indicates that Vulcan forms a simple astrological square with the galactic center at this time, exerting a negative influence on all of humanity. Since Vulcan is a "spiritual" planet (aiding in the formation of avatars and the ensoulment of mankind), and we are a warrior species, the negative influence of the square results in a plethora of religious wars. Discovery and public revelation of Vulcan's existence and this astrological square could possibly lead to the understanding of (and even the curtailing of) these religious wars (which can now be horrific due to the existence of Weapons of Mass Destruction).

Vulcan parallel the galactic center at the Dawn Of Mankind (the C"EV orbit) brings a favorable aspect to our action oriented species. But should Vulcan be contra parallel to the galactic center then (the C*EV orbit) a serious affliction, possibly extreme stubbornness, (contra action) results. This stubbornness, fear of change, and its companion fear of loss of control, could easily prevent us from recognizing the severity of impending comet strike threats and this may lead to our destruction. Should the contra parallel exist, eventually mankind (as we know it) could easily be driven to extinction by one of these strikes.

Should the slightly less likely C*EV orbit be valid, Christ may have chosen a brief, harsh existence (brought on by the contra parallel manifestation) to warn us of the similar one afflicting mankind. His warnings of impending meteor strikes are both direct and obvious, but He could have also chosen to suffer under this astrological affliction to illustrate its catastrophic influence on the human species.

Public revelation of Vulcan's existence could also serve to verify the comet impact threat, one that has decimated human civilization more than four times in the past. Further, some have predicted a future impact as early as 2006. It is anticipated to be shortly followed by a second more devastating impact that could "blow us back to the stone age". Other analysis indicates that Vulcan is of magnitude 21 or 22. Detecting the image of such a faint object would require long (overnight like) exposures using a major telescope, like the 120 inch Lick or the 200 inch Palomar instruments. Time on these instruments is precious, but the lives of millions, or perhaps even billions, of people are much more so. Should there be even a small chance that this analysis is correct, a dedicated search for that planet should be undertaken now while our sky is still un-obscured by comet impact ejecta.

APPENDIX A
VULCVQ, THE VULCAN ORBIT GENERATION PROGRAM

INTRODUCTION

The Vulcan Orbit Generation software generated for and utilized by this work is considered unique and probably as good as any that can be obtained elsewhere. It, and its companion programs, have Earth/Sun modeling orbit parameter capabilities that are allowed to change with time, fitting data far in the past. For example the eccentricity, inclination and the orbit plane all change as well as the obliquity and precession rate. The software is designed to propagate these parameters more than 50,000 years in the past with only a day or two of net error. The system is built of two separate software programs, JULSUNQ and VULCVQ.

DISCUSSION

JULSUNQ and VULCVQ are the two separate software programs designed to define Vulcan's location relative to the Earth/Sun system back at a time believed to be the Dawn Of Mankind (DOM), the beginning of mankind's sentient existence on Earth. JULSUNQ is a program which is used to determine the Earth orbit parameters and Earth spin axis orientation from the present back in time. The Sun's right ascension and declination are accurately determined for any calendar date. It is the culmination of an effort to achieve a credible model of the Earth Orbit parameters and spin axis orientation for long time periods in the past. It generates data that is used in program VULCVQ. for determining Vulcan orbit parameters and time histories.

VULCVQ determines Vulcan orbit parameters and time histories based on input data that includes:

VULCVQ's include parameters (describing Vulcan's orbit) include:

Most of the work done on the Vulcan orbits prior to using VULCVQ was based on a simple Earth model. The Earth's spin axis was assumed to cone about the normal to the Earth's orbit plane at a constant angle of obliquity (which could be changed). The obliquity was left at the J2000 value of 23.439 degrees. The precession period was set to a constant 25770 years. The Earth's orbit plane was assumed fixed at it's J2000 orientation. Thus, the transformation from Earth ECI (Earth Centered Inertial) TOD (True of Date) coordinates to Heliocentric J2000 coordinates was simply a rotation about the equinox of date through the obliquity angle to obtain Heliocentric coordinates of date followed by a rotation about the normal to the orbit plane to obtain the J2000 coordinates. This method gives reasonable results over time periods of 3000-5000 years before the present. The Vulcan orbits obtained using this method are only slightly different from those obtained from VULCVQ.

Much of the early work on the Vulcan orbits did not require knowledge of the Sun location. Later Sun location was required so that Earth/Sun/Vulcan geometry could be investigated. This required that the Sun's right ascension and declination be determined for any calendar date. A simple program, JULSUN, was initially used to provide this data. It assumed constant Earth orbit parameters in addition to the assumptions already mentioned. This program was checked for accuracy near term against the astronomical almanac and was found to be sufficiently accurate for this effort. In early 2001, when more fidelity was demanded in our software, it was found that the approximation of constant obliquity leads to errors of a day or more near Julian day number 1. An attempt was made to fix the problem by introducing a time variation in obliquity as indicated in the Supplement to the Astronomical Almanac33. It became clear at that time that those formulas could not be used for long time periods. In fact, using such a formula would be worse than just holding obliquity constant.

Miles Standish (of JPL) suggested several sources in the literature which describe investigations of the Earth's orbit parameters and spin axis covering time spans of a few million years. Of these, two were the most useful of the material found.34, 35 After a thorough investigation it was concluded that the former source offered data that would be best for our work. His entire data set was downloaded and has been saved to a CD in the event that future work is to be done on some of the other planets.

Quinn's data is much more extensive than what is required for the Vulcan studies. Therefore, the first step in using this data was to make truncated copies of the data from which the required Earth parameters could easily be extracted. A short data handling program was created which consolidated all of the Earth data (Orbit and Spin axis data) in a single time history file covering a time span from about 90,000 years in the past up to the latest data point which is at approximately the J1950 reference time. The data points are at an interval of slightly less than 500 years and time is measured in Julian years of 365.25 days.34

The data is quoted in the J1950 ECI coordinate system. This might at first seem strange; however, singularities are avoided by quoting the data in an ECI system rather than a Heliocentric system. The data is first converted from h,k,p,q parameters to a classical set of parameters:

Notice that the sixth parameter, mean anomaly has not been provided in Quinn's data.

It was necessary to supplement Quinn's data with a mean anomaly number so that the necessary coordinate transformations could be accomplished. It was convenient to set mean anomaly to zero (state vector points to perihelion). This is legitimate because the Earth orbit parameters are varying slowly. Then a six component Cartesian state vector is generated from which the orbit normal and various vectors in the orbit plane are easily determined. Several needed directions are the equinox of reference and equinox of date. Two of the quantities provided by Quinn and needed to sort out all the transformations are longitude of perihelion from equinox of date and longitude of perihelion from equinox of reference. An exhaustive description of the process by which the needed coordinate transformations are produced is beyond the scope of the present discussion. All of the needed coordinate systems are expressed in terms triads of unit vectors whose components are generally expressed in the J1950 coordinate system. Once these sets of triads have been established it is straightforward to calculate the components of an arbitrary vector, such as Vulcan's state vector, relative to a desired system.

Both JULSUNQ and VULCVQ use the fact that the anomalistic year (determined by the semi-major axis of the Earth's orbit) is essentially constant over the time frame of interest. Time of perihelion passage for the year 2000 is the reference from which all Sun/Earth geometry is measured. A very accurate value for the Earth orbit mean anomaly is therefore available for any time during the time frame of interest. It is estimated that errors are probably less than one day over a 50000 year period.

Since Quinn's data is a table of values, it was necessary to build a data interpolator to obtain the parameters for any time between the tabulated points. A third order interpolator was built which appears to be working satisfactorily. The data is interpolated in the ECI classical parameter form and then all the coordinate transformations are performed on the interpolation result. VULCVQ has the same features as VULCEV. Input data consists of right ascension and declination data for three time points and time of aphelion. Other data includes various time increments and iteration parameters. The data input could have been simplified somewhat. It was expedient to leave as much of the program as possible the same as in VULCEV. VULCVQ calculates time histories in true of date, B1950 and J2000 ECI coordinate systems. These may be computed with/without parallax correction accounting for the offset of the Earth from the Sun.

APPENDIX B
VULCAN'S EPHEMERIDES

Yarbro has claimed that the Infinite soul has manifested only four times in the history of mankind.36 This manifestation is similar to reincarnation and has avatars known as:

The Infinite soul directly occupies the host body at the time of the manifestation. There are also only four avatars of the Transcendental soul including: The Infinite soul has a soul that is effectively the "Essence Twin" to all humanity. The experience of meeting one can hardly be described by language that we would understand. The Transcendental soul is the "Task Companion" to all humanity and it often introduces or initiates social change.

The salient question concerns the location of Vulcan at the time the Infinite or Transcendental soul manifests. Vulcan has been identified as the forge of the avatar37 and Infinite soul avatars are associated with the Sun.38 They are often called the Solar Logos.39 Vulcan, our Sun's binary companion dark star, (being solar like) aids the Sun in forming an avatar. Normally, it would become a being existing on the astral or causal Sun. Vulcan acts in the same way as the Moon when it forms the ensouled human being on the Earth, becoming a planet of fecundation. The Sun, through the galactic center, and the Earth focus the Avatar's astral (desire) body on the host human body. For those unfamiliar with this concept, the Moon, (which is the agent of fertilization) projects its astral ray at the time of conception through the same right ascension (or its opposite) which later corresponds to the Rising Sign at the moment of birth.40 Remember, the astral ray is experiencing time backwards (from effect to cause).

For humans, a nine-month gestation period is needed. Not so for an avatar; its astral body forms immediately. Consequently, Vulcan is at or opposite the Rising Sign at the time the avatar descends (i.e. is born on Earth).

The simplest concept describing the descent of the Infinite soul is the most likely one. This soul normally seeks to incarnate on the causal Sun (or Vulcan). However, when it descends to Earth, the Earth must be between (i.e. in line with) the Sun and Vulcan. Thus both must be at the same, or parallel (north or south), declinations, and at the same or opposite right ascensions.

The Earth is so close to the Sun compared to Vulcan, that it appears to be practically on the Sun's surface. The astral body of the avatar forms and sweeps towards the Sun. However, at a position on the Earth experiencing the same Rising Sign as the chosen location on the astral or casual Sun, the receptive host human body must be present. Moreover, the original host's astral being must be willing to depart (by previous agreement, of course).

Physical stress or exhaustion may be needed to help the original soul occupying the host body depart. Additionally, the host body must be of the right size and shape to match that of the avatar. The "knot is tied" just as the original owner of the host body departs. For example, the soul of Jesus departs just as the Infinite soul forming the Christ incarnates. Jesus, as the other seven who offered their bodies to the avatars, did in fact die for the benefit of mankind. But, He did not die on the cross for our sins as Christian doctrine espouses.

The day and hour of the descent of the Buddha avatar verifies this operational concept and defines the position of Vulcan at that time. The Rising Sign on 25 December at the time of dawn (sunrise), is in Sagittarius. Likewise, the Sun is in Sagittarius. To form the Buddha, Vulcan must be aligned with, or at a right ascension opposite and parallel to the actual Sun. Together, they form the avatar's astral body. An avatar can descend into any receptive physical body, but it must match the host body form.4 The influencing planets and related astrological aspects govern the avatar's influence on the times. Thus, the appropriate time for the Infinite soul to manifest in the host human's body must be carefully chosen. This time influences the (few) related astrological aspects influencing the avatar in the same manner as a more complicated array of celestial bodies affect those in a normal human being.

The Bible (Luke 3:21) indicates that the avatar appeared to descend in bodily form.42 This is presumed to be the astral form of the soul or Essence.43 It is like a narrow band of light which outlines the body forming the "halo" that is often found in artistic renditions of the Christ. Thus, the shape of the avatar must "fit" the host body. Christ claimed (Matthew 24:36, 25:13) that not even the angels knew the day and hour of the second coming. These parameters may specify the year and place the avatar may choose to descend. Consequently, the Christ avatar's host body for His "second coming" had not been chosen at that time. Choice is the dominant purpose of the physical plane and it applies to the "Gods" as well. 44

Astrological matching of avatar's to host's physical body type based on descent times offer a mechanism to accurately determine the times when the avatars descended. The Tzu Wei astrology is used to refine the dates of the avatar's manifestation by body type matching. The avatar for Buddha and Christ descended near dawn. The concept considered herein requires that the Infinite soul avatars descend at sunrise (or possibly exactly 12 hours later).

The analysis of the Christ avatar indicates that the descent date can be limited to 4 March 33 BC by two independent methods. The Tzu Wei astrological technique had not been applied to Buddha because his body type was previously uncertain and because it was difficult to match the western and eastern calendars. The latter problem has been partially resolved in this work.

APPENDIX C
HOW THE MAGI FOUND JESUS

Updated 9 Jan., 2012

Before beginning this appendix, it is recommended that the reader

This work does not consider how the Magi became interested in the birth of Jesus, but the prophecies of Daniel (appointed master of astrologers14 by Nebuchadnezzar) is a likely source. Daniel predicted the year the "Anointed One" (Messiah) would appear. Daniel's source is recorded as "the angel" Gabriel

The following verses from the Book of Daniel (NIV Bible translations) are relevant and an interpretation similar to Hoehner's is offered in italics: 15

The Magi were faced with determining the place and time the host body of the new avatar was to be born. Solving the country of birth was of little problem if they had access to the writings found in the book of Daniel. Daniel 9:25 -26 specifies Israel. When they visited Herod seeking the new born king of the Jews (as with Buddha, they were anticipating a royal birth). Herod consulted the Jewish priests (the Sanhedrin)15 and discover that the "King of the Jews" was to be born in Bethlehem (Micah chapter 5).16 He related this information to the Magi and now they knew the place of the host body's (Jesus') birth as well as where his home address could be found (Joseph's family records were kept in Bethlehem and they had recently been updated thanks to Caesar.

The following is a straight forward logic flow explaining how the Magi could calculate the time when the Christ would appear from the foregoing information found in Daniel Chapter 9:

  1. 1 Nissan 444 BC (Jewish month) was 3 March.
  2. 14 Nissan 444 BC (Passover started that night) was 17 March (an ideal time to decree rebuilding the Temple).
  3. The decree to rebuild Jerusalem was issued by Artaxerxes to Nehemiah (2:1-8) in Nissan 444 BC.15
  4. Daniel 9:25 - 9:27 = [(7 + 62) X 7] - 7 years = 476 years.
  5. 444 BC + 476 years = 33 AD (note: no 0 AD. 1 BC was followed directly by 1 AD).
  6. 33 AD is the year of the Qui Snake.
  7. 4 March 33 AD Christ manifests in Jesus.
  8. There are 173,877 days between Passover (14 Nissan) 444 BC and Passover (3 April) 33 AD
  9. 14 Nissan 33 AD (Crucifixion over before Passover started) was 3 April.
  10. 14 Nissan 444 BC + 173,880 days = 17 Nissan (7 April) 33 AD
  11. 17 Nissan 33 AD Christ re-appears (arose) 3 days (commonly believed) after Crucifixion (and presumably departs).

The following Table offers Sun and Moon locations to support these critical dates

Table B-1
Solar/Lunar Locations
Julian Date/GMTJulian DaySun's RA/Dec.Moon's RA/Dec. Event
3 Mar. 444 BC/12:00Z 1559313.5822:35/- 09:0822:34/-04:36New Moon
17 Mar. 444 BC/12:00Z 1559327.7123:27/- 03:3811:28/00:02Full Moon
4 Mar. 33 AD/23:00Z1733174.4622:56/- 06:5510:56/09:05Full Moon
3 Apr. 33 AD/18:00Z1733204.2500:43/04:3912:43/- 05:10Eclipsed
Full Moon

Gabriel predicted 476 years before the "Anointed One" (Christ) would appear after the order was given to rebuild the temple and Jerusalem. As the Egyptian culture was dominate at that time, its calendar, or a form of it, was likely used in Israel. While this calendar was lunar based, it was locked to the solar calendar. Its first month began with the first new Moon after the helical rising of Sirius (Sirius was not blotted out by the sunlight).45 Thus, Passover always occurred in the March/April time frame, but the time (as measured by the Julian calendar) moved around a little as it was locked to the appearance of a full Moon. Notice that there are 173,876.54 days between the appearance of the full Moon of 17 March 444 BC and the one on 3 April 33 AD.

Some claim that Gabriel predicted exactly 173,880 days would pass before the "Anointed One" (Christ) would appear after the order was given to rebuild the temple and Jerusalem.15 Assume a twelve-month lunar year was employed, equaling 360 days. This is not actually astronomically correct because there are less than 360 days in twelve revolutions of the Moon around Earth. Nevertheless, (69 X 7) years X 360 days/year = 173,880 days. Christ survived Jesus' planned death by Crucifixion on 3 April 33 AD and appeared three days later. 173,880 Julian days passed between Passover on 14 Nissan 444 BC and this event on 17 Nissan 33 AD. Either way, Gabriel seemed to be predicting that Christ would be around in 33 AD . . . but would not stay long.

With just the first six items of information listed above, the Magi knew that the host body of the Christ avatar would likely form in the year of the Qui Snake (or whatever they called it). Being familiar with just the principal stars needed to form Buddha's Tzu Wei chart, they could anticipate the host body to be born in the year of the Mau Horse - 3 BC (restrictions discussed in Section 7. must apply). Alternately, they could compare the manifestation of the Buddha in Gotama, and subtract 35 years from Daniel's year predicted for the Messiah to arrive. Thereby, they could deduce the nominal birth year of Jesus.

The Magi applied Tzu Wei astrological techniques to isolate specific dates when "king like" male children were born in Bethlehem (a small town of a few thousand people - or less). There are several pieces of information they could use to isolate Jesus from the other children born in the year of the Mau Horse (3 BC). These are:

  1. A male child.
  2. The 104/83 principal star combination must be in the Personality House
  3. If the time was specified to within a two-hour window, it would define the lunar birth month.
  4. A child born in the lineage of King David.
The sorting power of these items is as follows.
  1. The child's sex would provide a sorting power of 2.
  2. If the day and month of the child's birth is recorded, two or three days are possible, depending on the month. Thus, this offers a sorting power of 10 or 15 for a given month.
  3. If the birth hour was recorded, it would eliminate 11 of 12 children born at randomly distributed hours throughout the day. Only one two-hour window is permitted for a possible day & month combination. Thus, this offers a sorting power of 12. Even if just the morning or evening or afternoon were recorded a sorting power of 4 or more would be expected.
  4. The number of families descended from the lineage of king David and living in Bethlehem is unknown, but anticipated to be less than 10%. Thus, a sorting power of 10 or more is anticipated.
Concatenating these results together yields the following combined sorting power:
  1. 2
  2. 20
  3. 240 (or 60?)
  4. 2400 or more
Bethlehem was only a small town with an estimated population of 300 in those days.46, 47 The estimated number of children killed by Herod's decree (to kill al those two years old and under) is only about seven children.48 This was no mass slaughter as is commonly believed. Thus, there is more than enough sorting power to resolve which child would become the Messiah (Christ). Even if the Magi considered that only the 104 king star had to be available in the personality house, this plus the male child requirement would offer a sorting power of 20. Only one child would come close because 7 candidate children/20 is less than 1.0. The 'lineage of king David' restriction would up this sorting power to an estimated 200 or more if the Magi were aware of this restriction. Thus, it is concluded that generating a Tzu Wei chart for all the male children born in Bethlehem during the year of the Mau Horse could easily resolve which one was to be the Messiah. Figure B-1 illustrates Jesus' Tzu Wei chart. Not all minor (good and bad) stars may have been known at the time. Compare this figure to Figure 2 in the main body of this work.

The Magi discovered that Jesus was to be the host body for the Christ and obtain His parent's address. They depart for Nazareth where Joseph and Mary were living to honor Him. While they may have been disappointed not to find a child born into a royal household, they went with the only child available that met the astrological requirements. They may have left disappointed. Nevertheless, they, these few astrologers, were correct and have been remembered ever since.

A more meaningful question is "how did Gabriel know when and where the Anointed One would appear"? The answer may lie in the source of the Bible Code. See The Aliens Of The Ark. Here, it is suggested that an alien intelligence had generated the "Bible Code" that warns of potential comet strikes in 2006 and 2012.

  1. Gabriel could be aware of the Tzu Wei astrological restrictions listed herein.
  2. The Infinite soul may be trying to establish a pattern by having the host body born on 31 March. Two, possibly three Infinite soul avatars may have been born on 31 March of a given year.
The Middle East region of the world is particularly hostile and an unlikely place for the manifestation of the Infinite soul (lasting an extended period of time anyway). The decision to manifest must have been made before 444 BC, even before Buddha's manifestation. Gabriel could be aware of the orbit of Vulcan and would have been able to predict a time when Vulcan would form a contra-parallel astrological aspect with the Sun. Thus, Christ's manifestation could be brief because the people of Israel would not welcome him. A brief visit may be desirable for an avatar, as they often consider the physical plane hell, yet it would be profound enough to keep the Bible in the forefront of mankind's attention. The Bible contained the "Bible Code" in the Hebrew Pentateuch, and that contained the dates of anticipated comet strikes that could result in the untimely deaths of billions of people. Infinite souls may love humanity enough to try to prevent this catastrophe. Infinite soul avatars love each of us the way some of us love that favorite person in their lives, often even stronger. Christ's brief stay and related direct warnings of a major meteor impact found in Matthew 24:37 - 39, Luke 17:26 - 29 and Revelation 6, 8 & 9 may have been an attempt to do just this.


Figure B-1. Jesus' Tzu Wei Chart.

APPENDIX D
ORBITAL ERROR RESIDUALS

This appendix includes the error analysis for the New Vulcan C"(0)EV orbit that is based on the 12/25/413 BC (Julian Calendar) date for the C point. Much of the early work on the Vulcan orbits did not require much knowledge of the Sun location. When the Sun's location was required so that Earth/Sun/Vulcan geometry could be investigated, the Sun's right ascension and declination had be determined for any calendar date. A simple program, JULSUN, was initially used to provide this data to the Vulcan orbital generation program. It assumed constant Earth orbit parameters in addition to the assumptions already mentioned. This program was checked for accuracy near term against the astronomical almanac and was found to be sufficiently accurate for this effort. These differ very slightly from the orbits generated earlier in this work by the more complicated VULCEQ program. This latter program is only really required when investigating Vulcan's location relative to the galactic center 50 or 60 thousand years ago. The orbit parameters themselves are almost identical.

The object here is to generate the covariance matrix so error elements associated with the state vector can be determined. The C"(0)E(0)V orbit, and the two other Vulcan orbits bound this orbit (generated from the 24* December and 26* December C" points), are each generated by shifting the C" point one day forward and one day backward. The C"(0)E(0)V orbit is close enough to fit both the C"EV and C*EV orbits from an error analysis on the boundary conditions point of view. Both the C"EV and C*EV are limited by Tzu Wei astrological conditions on one end and by a square (270o or 90o respectively) to the galactic center on the other end. These error bounds reflect a +/- 0.5o or +/- 1.0o uncertainty in the right ascension of Vulcan at the times of the manifestation of Christ and Buddha.

Six parameters defining the C"EV orbit were perturbed. The magnitude of these perturbations are listed with each related execution of the software. These perturbations are to be considered 2-sigma numbers and are assumed to be uncorrelated. A covariance matrix for the state vector errors is provided. This matrix gives the 2-sigma errors when the six perturbations are randomly acting at the same time.

The Nominal or C"EV Orbit is defined by the C Point (PT), the E PT, V PT and the Delta Time (in years) from the V PT to Aphelion respectively in the Earth Centered Inertial (ECI) system. AU defines a length equal to an astronomical unit. RA is right ascension and DC is declination, both defined in degrees. The C" point and E point are quoted in True Of Date (TOD) coordinates. The time to J2000 is not the actual T value in all cases. For the V point it is the time from the epoch of the Besselian coordinate system to J2000. Thus, the V point was assumed to be in B1950 system. The time value is used to rotate the coordinate system to J2000. This is in the Vulcan subprogram. Elsewhere, the actual times are used. Such as the time from the V point to aphelion which is nominally -13.397 years. The exact values of the proggram outputs are listed only to keep transcription errors at a minimium. Specifically:

C" PT ECI RA = 88.904554 ECI DECL = -22.599488
TIME DELTA(YEARS) FROM C" PT TO J2000 = 2411.032300

E PT ECI RA = 163.001077 ECI DECL = 7.221450
TIME DELTA(YEARS) FROM E PT TO J2000 = 1966.833900

V PT ECI RA = 263.165720 ECI DECL = 23.855351
TIME DELTA(YEARS) FROM V PT TO J2000 = 50.001200

Delta Time (years) from Third Point to Aphelion = -13.3970
Delta Time 1 (C point to E point) = 444.1984 Years
Delta Time 2 (E point to V point) = 1950.2299 Years

RESULTING ORBIT PARAMETERS FROM PROGRAM VULCAN:

AMAX(AU) = 290.917957 = The Semi-Major Axis
ECC = 0.540023 = The Orbital Eccentricity
IN(degrees) = 48.434999 = The Orbital Inclination
LNODE(degrees) = 189.049882 = The Longitude Of The Ascending Node
ARGP(degrees) = 257.806783 = The Argument Of Perihelion
TPER(years) = -511.996174 = The Time Of Perihelion
TNODE(years) = 32.204168 = The Time Of The Ascending Node
TAPHEL(years) = 1968.998300 = The Time Of Aphelion
PERIOD(years) = 4961.988947 = The Orbital Period

Radius at Ascending Node = 232.609906 AU; Time = 32.204168 AD
Radius at Descending Node = 184.980447 AU: Time = 4108.849245 AD

Six runs were made perturbing the Nominal Orbit. These defined the elements of the partial derivative matrix. They include the Right Ascension (RA) of the C" point, RA and Declination (DC) of the E point, RA and DC of the V point and time of aphelion. These all act in the error analysis's covariance matrix. These only include calculation of heliocentric parameters. Changes in the dates on the data other than time of aphelion were not made. The time changes which amount to less than a day shift are not significant. Only the angular (RA and DC) errors are important. The declination of the C" point is calculated by the program to keep the point in Vulcan's orbit plane (heliocentric coordinates). Thus, there is no error is included for this quantity. The other C" point and E point angular inputs were perturbed by 1.0 degrees. The errors for the V point are based on an uncertainty in the date associated with the V point astronomical data. The maximum parallax introduced by the Earth's change in position leads to the angular errors shown below for the Vulcan input RA and DC. A 1 year shift was introduced in time of aphelion. All errors are considered to be 2-sigma values. The results of the six runs follows:

Run #1: RA of C" point is perturbed by 1.0 degrees

E PT ECI RA = 163.001077 ECI DECL = 7.221450
TIME DELTA(YEARS) FROM E PT TO J2000 = 1966.833900

V PT ECI RA = 263.165720 ECI DECL = 23.855351
TIME DELTA(YEARS) FROM V PT TO J2000 = 50.001200

C" PT ECI RA = 89.904554 ECI DECL = -22.300212
TIME DELTA(YEARS) FROM C" PT TO J2000 = 2411.032300

Delta Time(years) from Third Point to Aphelion = -13.3970
Delta Time 1 (C point to E point) = 444.1984 Years
Delta Time 2 (E point to V point) = 1950.2299 Years

Run #1: ORBIT PARAMETERS:

AMAX(AU) = 291.288858
ECC = 0.537662
IN(degrees) = 48.434999
LNODE(degrees) = 189.049882
ARGP(degrees) = 257.805764
TPER(years) = -516.742339
TNODE(years) = 32.204302
TAPHEL(years) = 1968.998300
PERIOD(years) = 4971.481277

Radius at Ascending Node = 233.614037 AU T = 32.204302
Radius at Descending Node = 185.963264 AU T = 4110.328584

Run #2: RA of E point is perturbed by 1.0 degrees.

E PT ECI RA = 164.001077 ECI DECL = 7.221450
TIME DELTA(YEARS) FROM E PT TO J2000 = 1966.833900

V PT ECI RA = 263.165720 ECI DECL = 23.855351
TIME DELTA(YEARS) FROM V PT TO J2000 = 50.001200

C" PT ECI RA = 88.904554 ECI DECL = -22.816754
TIME DELTA(YEARS) FROM C" PT TO J2000 = 2411.032300

Delta Time(years) from Third Point to Aphelion = -13.3970
Delta Time 1 (C point to E point) = 444.1984 Years
Delta Time 2 (E point to V point) = 1950.2299 Years

Run #2: ORBIT PARAMETERS:

AMAX(AU) = 290.683462
ECC = 0.547455
IN(degrees) = 48.528058
LNODE(degrees) = 189.632536
ARGP(degrees) = 257.425411
TPER(years) = -508.997062
TNODE(years) = 26.925500
TAPHEL(years) = 1968.998300
PERIOD(years) = 4955.990725

Radius at Ascending Node = 231.108643 AU T = 26.925500
Radius at Descending Node = 181.885276 AU T = 4116.908901

Run # 3 is based on the maximum perturbation the E point can sustain and still permit the Sun and Vulcan to be separated by just over an acceptable amount at the C" point. On 25 December, 413 BC, the Sun's declination is -23.75 degrees and the C"EV orbit predicts that Vulcan is at -22.15 degrees. The mismatch is 1.6 degrees, just over the maximum permitted 1.5 degree value.

Run #3: DC of E point is perturbed by 1.0 degrees.

E PT ECI RA = 163.001077 ECI DECL = 8.221450
TIME DELTA(YEARS) FROM E PT TO J2000 = 1966.833900

V PT ECI RA = 263.165720 ECI DECL = 23.855351
TIME DELTA(YEARS) FROM V PT TO J2000 = 50.001200

C" PT ECI RA = 88.904554 ECI DECL = -22.148696
TIME DELTA(YEARS) FROM C" PT TO J2000 = 2411.032300

Delta Time(years) from Third Point to Aphelion = -13.3970
Delta Time 1 (C point to E point) = 444.1984 Years
Delta Time 2 (E point to V point) = 1950.2299 Years

Run #3: ORBIT PARAMETERS:

AMAX(AU) = 290.866105
ECC = 0.543276
IN(degrees) = 48.252548
LNODE(degrees) = 187.844010
ARGP(degrees) = 258.610512
TPER(years) = -511.332899
TNODE(years) = 19.355525
TAPHEL(years) = 1968.998300
PERIOD(years) = 4960.662399

Radius at Ascending Node = 229.655775 AU T = 19.355525
Radius at Descending Node = 185.153065 AU T = 4106.560408

Runs #4 and #5 are based on maximum parallax estimates for the V point.

Run #4: RA of V point is perturbed by 0.15 degrees.

E PT ECI RA = 163.001077 ECI DECL = 7.221450
TIME DELTA(YEARS) FROM E PT TO J2000 = 1966.833900

V PT ECI RA = 263.315720 ECI DECL = 23.855351
TIME DELTA(YEARS) FROM V PT TO J2000 = 50.001200

C" PT ECI RA = 88.904554 ECI DECL = -22.577301
TIME DELTA(YEARS) FROM C" PT TO J2000 = 2411.032300

Delta Time(years) from Third Point to Aphelion = -13.3970
Delta Time 1 (C point to E point) = 444.1984 Years
Delta Time 2 (E point to V point) = 1950.2299 Years

Run #4: ORBIT PARAMETERS:

AMAX(AU) = 290.901700
ECC = 0.539223
IN(degrees) = 48.413032
LNODE(degrees) = 189.049883
ARGP(degrees) = 257.941673
TPER(years) = -511.788214
TNODE(years) = 32.204058
TAPHEL(years) = 1968.998300
PERIOD(years) = 4961.573029

Radius at Ascending Node = 232.510486 AU T = 32.204058
Radius at Descending Node = 185.430438 AU T = 4106.887742

Run #5: DC of V point is perturbed by 0.1 degrees

E PT ECI RA = 163.001077 ECI DECL = 7.221450
TIME DELTA(YEARS) FROM E PT TO J2000 = 1966.833900

V PT ECI RA = 263.165720 ECI DECL = 23.955351
TIME DELTA(YEARS) FROM V PT TO J2000 = 50.001200

C" PT ECI RA = 88.904554 ECI DECL = -22.701413
TIME DELTA(YEARS) FROM C" PT TO J2000 = 2411.032300

Delta Time(years) from Third Point to Aphelion = -13.3970
Delta Time 1 (C point to E point) = 444.1984 Years
Delta Time 2 (E point to V point) = 1950.2299 Years

Run #5: ORBIT PARAMETERS:

AMAX(AU) = 290.904065
ECC = 0.540007
IN(degrees) = 48.535896
LNODE(degrees) = 189.049875
ARGP(degrees) = 257.822501
TPER(years) = -511.818466
TNODE(years) = 32.204105
TAPHEL(years) = 1968.998300
PERIOD(years) = 4961.633531

Radius at Ascending Node = 232.565720 AU T = 32.204105
Radius at Descending Node = 185.000886 AU T = 4108.573653

Run #6: Time of aphelion is perturbed by 1 year.


E PT ECI RA = 163.001077 ECI DECL = 7.221450
TIME DELTA(YEARS) FROM E PT TO J2000 = 1966.833900


V PT ECI RA = 263.165720 ECI DECL = 23.855351
TIME DELTA(YEARS) FROM V PT TO J2000 = 50.001200


C" PT ECI RA = 88.904554 ECI DECL = -22.599488
TIME DELTA(YEARS) FROM C" PT TO J2000 = 2411.032300


Delta Time 1 (C point to E point) = 444.1984 Years
Delta Time 2 (E point to V point) = 1950.2299 Years
Delta Time(years) from Third Point to Aphelion = -12.3970

Run #6: ORBIT PARAMETERS:

AMAX(AU) = 290.991572
ECC = 0.540020
IN(degrees) = 48.434999
LNODE(degrees) = 189.049882
ARGP(degrees) = 257.832649
TPER(years) = -511.937933
TNODE(years) = 32.204213
TAPHEL(years) = 1969.998300
PERIOD(years) = 4963.872466

Radius at Ascending Node = 232.607363 AU T = 32.204213
Radius at Descending Node = 185.068076 AU T = 4110.485839

The following matrix is the covariance matrix for the state vector errors. This gives the 2-sigma errors when the six perturbations are randomly acting at the same time. The square roots of the diagonal elements give the 2 sigma errors for ECC, INCLN, LNODE, ARGP, TAPHEL and PERIOD in that order. There are correlation's in the state vector errors. Note the element (5,5). This is for the TAPHEL. The square root of this number is 1.0 years which is exactly the input error in this number.

The Covariance Matrix For The State Vector is as follows:

Table D-1
COVARIANCE MATRIX FOR THE STATE VECTOR
ECCINCLNLNODEARGPTAPHEL PERIOD
0.000072030.000114000.00040739- 0.00032564-0.00000389-0.07097245
0.000114000.052611260.27423308- 0.183508500.00000000-0.34288720
0.000407390.274233081.79361324- 1.191401990.00000000-1.89523834
-0.00032564-0.18350850- 1.191401990.810537070.025865891.19872731
- 0.000003890.000000000.000000000.025865891.00 000000 1.88351885
-0.07097245-0.34288720- 1.895238341.198727311.88351885131.68968364

Thus, the following error budgets are estimated assuming that Vulcan is identical with the (IRAS derived) V point.

DECLINATION AND RIGHT ASCENSION BOUNDS IF IRAS POINT NOT VULCAN

The purpose of this subsection is to determine how much variance on the V (IRIS) point can occur while still sustaining a Vulcan parallel in declination and a square in RA to both the Sun and the Galactic center. A further restriction is that the Galactic center must remain within 3 degrees of the Sun at the Vernal Equinox.

  1. The variation of Vulcan's declination (DEC) is limited to +/- 1.5o of the Galactic Center/Vernal Equinox alignment (at about -8.5 o.
  2. The variation of Vulcan's right Ascension (RA) is limited to +/- 5o of 270o RA. However this must occur while condition 1 is in effect.
  3. The variation of the time of these occurrences is +/- 220 years from the best DOM alignment possible occurring at -55752.
  4. All three of these conditions must be met by some of the data points in a given orbit segment limited by the "parallel" (condition 1).

The limits on the state vector values are found to be: