VULCAN EPHEMERIS There are two separate Vulcan ephemeris listings contained herein The first contains Vulcan current ephemeris and the second Vulcan's Pre-history ephemeris. The first is to aid astronomers should they attempt a current optical or radio search for Vulcan while the second is intended for the pre-history and astrological community should they try to correlate the location of Vulcan to past events. The last section delineats slightly different, but precise, specific Vulcan orbit parameters which are now being used as small parallax corrections are being used compared to those used in the 1997 and 1999 Papers. 1. VULCAN'S CURRENT EPHEMERIS The following is Vulcan's ECI J2000 coordinates parallax corrected starting January 1, 1999 @ GMT = 0.0 hrs and continuing at approximately five day intervals until some time in April of the year 2026. Note that calendar time is printed time plus one year and a year is a Julian year of 365.2425 days. The final Vulcan orbit parameters used are those given in the file in section 3. Since several C'EV orbit parameters sets are shown in that file be careful to pick up the correct set. It is the set that has an orbit period of 5030.000329 years. TIME(yrs) TRUE ANOM. RT. ASC.(deg) DECLIN.(deg) J2000 1998.000000 180.728274 264.143750 23.815072 1998.013690 180.728618 264.155537 23.817427 1998.027379 180.728961 264.166947 23.820451 1998.041069 180.729305 264.177893 23.824121 1998.054758 180.729649 264.188295 23.828408 1998.068448 180.729993 264.198076 23.833279 1998.082137 180.730337 264.207163 23.838698 1998.095827 180.730680 264.215491 23.844621 1998.109516 180.731024 264.223000 23.851004 1998.123206 180.731368 264.229637 23.857795 1998.136895 180.731712 264.235355 23.864945 1998.150585 180.732056 264.240118 23.872396 1998.164274 180.732399 264.243893 23.880093 1998.177964 180.732743 264.246658 23.887976 1998.191653 180.733087 264.248399 23.895986 1998.205343 180.733431 264.249108 23.904063 1998.219032 180.733775 264.248786 23.912147 1998.232722 180.734118 264.247443 23.920177 1998.246412 180.734462 264.245094 23.928094 1998.260101 180.734806 264.241765 23.935840 1998.273791 180.735150 264.237485 23.943361 1998.287480 180.735493 264.232292 23.950600 1998.301170 180.735837 264.226232 23.957507 1998.314859 180.736181 264.219353 23.964033 1998.328549 180.736525 264.211712 23.970132 1998.342238 180.736869 264.203369 23.975762 1998.355928 180.737212 264.194390 23.980885 1998.369617 180.737556 264.184845 23.985465 1998.383307 180.737900 264.174806 23.989471 1998.396996 180.738244 264.164349 23.992877 1998.410686 180.738588 264.153553 23.995661 1998.424375 180.738931 264.142498 23.997805 1998.438065 180.739275 264.131266 23.999295 1998.451754 180.739619 264.119941 24.000122 1998.465444 180.739963 264.108605 24.000281 1998.479134 180.740306 264.097341 23.999774 1998.492823 180.740650 264.086231 23.998605 1998.506513 180.740994 264.075358 23.996783 1998.520202 180.741338 264.064800 23.994321 1998.533892 180.741682 264.054634 23.991238 1998.547581 180.742025 264.044936 23.987556 1998.561271 180.742369 264.035777 23.983300 1998.574960 180.742713 264.027224 23.978502 1998.588650 180.743057 264.019343 23.973194 1998.602339 180.743401 264.012193 23.967415 1998.616029 180.743744 264.005828 23.961205 1998.629718 180.744088 264.000298 23.954609 1998.643408 180.744432 263.995648 23.947672 1998.657097 180.744776 263.991915 23.940444 1998.670787 180.745119 263.989131 23.932978 1998.684476 180.745463 263.987323 23.925326 1998.698166 180.745807 263.986508 23.917544 1998.711856 180.746151 263.986700 23.909688 1998.725545 180.746495 263.987901 23.901817 1998.739235 180.746838 263.990111 23.893987 1998.752924 180.747182 263.993319 23.886257 1998.766614 180.747526 263.997508 23.878685 1998.780303 180.747870 264.002654 23.871327 1998.793993 180.748214 264.008724 23.864241 1998.807682 180.748557 264.015680 23.857479 1998.821372 180.748901 264.023476 23.851095 1998.835061 180.749245 264.032059 23.845137 1998.848751 180.749589 264.041370 23.839654 1998.862440 180.749933 264.051344 23.834689 1998.876130 180.750276 264.061910 23.830281 1998.889819 180.750620 264.072993 23.826466 1998.903509 180.750964 264.084513 23.823276 1998.917199 180.751308 264.096384 23.820737 1998.930888 180.751651 264.108521 23.818870 1998.944578 180.751995 264.120833 23.817693 1998.958267 180.752339 264.133228 23.817216 1998.971957 180.752683 264.145615 23.817444 1998.985646 180.753027 264.157900 23.818376 1998.999336 180.753370 264.169991 23.820008 1999.013025 180.753714 264.181798 23.822326 1999.026715 180.754058 264.193231 23.825315 1999.040404 180.754402 264.204207 23.828950 1999.054094 180.754746 264.214642 23.833205 1999.067783 180.755089 264.224460 23.838046 1999.081473 180.755433 264.233588 23.843437 1999.095162 180.755777 264.241961 23.849334 1999.108852 180.756121 264.249518 23.855694 1999.122541 180.756464 264.256206 23.862465 1999.136231 180.756808 264.261977 23.869597 1999.149921 180.757152 264.266795 23.877034 1999.163610 180.757496 264.270626 23.884720 1999.177300 180.757840 264.273449 23.892595 1999.190989 180.758183 264.275248 23.900601 1999.204679 180.758527 264.276015 23.908676 1999.218368 180.758871 264.275751 23.916762 1999.232058 180.759215 264.274465 23.924797 1999.245747 180.759559 264.272172 23.932722 1999.259437 180.759902 264.268897 23.940480 1999.273126 180.760246 264.264669 23.948014 1999.286816 180.760590 264.259527 23.955271 1999.300505 180.760934 264.253514 23.962198 1999.314195 180.761278 264.246679 23.968746 1999.327884 180.761621 264.239079 23.974870 1999.341574 180.761965 264.230774 23.980528 1999.355263 180.762309 264.221829 23.985679 1999.368953 180.762653 264.212313 23.990289 1999.382643 180.762996 264.202299 23.994328 1999.396332 180.763340 264.191863 23.997768 1999.410022 180.763684 264.181084 24.000586 1999.423711 180.764028 264.170041 24.002765 1999.437401 180.764372 264.158817 24.004290 1999.451090 180.764715 264.147494 24.005154 1999.464780 180.765059 264.136155 24.005350 1999.478469 180.765403 264.124884 24.004879 1999.492159 180.765747 264.113764 24.003745 1999.505848 180.766091 264.102874 24.001958 1999.519538 180.766434 264.092295 23.999530 1999.533227 180.766778 264.082105 23.996480 1999.546917 180.767122 264.072378 23.992829 1999.560606 180.767466 264.063186 23.988603 1999.574296 180.767810 264.054597 23.983833 1999.587985 180.768153 264.046676 23.978551 1999.601675 180.768497 264.039483 23.972796 1999.615365 180.768841 264.033072 23.966608 1999.629054 180.769185 264.027494 23.960030 1999.642744 180.769528 264.022792 23.953110 1999.656433 180.769872 264.019006 23.945896 1999.670123 180.770216 264.016168 23.938440 1999.683812 180.770560 264.014304 23.930796 1999.697502 180.770904 264.013434 23.923019 1999.711191 180.771247 264.013568 23.915165 1999.724881 180.771591 264.014713 23.907292 1999.738570 180.771935 264.016866 23.899457 1999.752260 180.772279 264.020018 23.891720 1999.765949 180.772623 264.024153 23.884137 1999.779639 180.772966 264.029246 23.876765 1999.793328 180.773310 264.035266 23.869662 1999.807018 180.773654 264.042173 23.862880 1999.820707 180.773998 264.049924 23.856474 1999.834397 180.774342 264.058464 23.850491 1999.848087 180.774685 264.067736 23.844981 1999.861776 180.775029 264.077676 23.839985 1999.875466 180.775373 264.088211 23.835546 1999.889155 180.775717 264.099268 23.831697 1999.902845 180.776060 264.110766 23.828472 1999.916534 180.776404 264.122620 23.825897 1999.930224 180.776748 264.134745 23.823994 1999.943913 180.777092 264.147051 23.822779 1999.957603 180.777436 264.159445 23.822263 1999.971292 180.777779 264.171835 23.822453 1999.984982 180.778123 264.184129 23.823347 1999.998671 180.778467 264.196234 23.824941 2000.012361 180.778811 264.208059 23.827223 2000.026050 180.779155 264.219517 23.830176 2000.039740 180.779498 264.230521 23.833777 2000.053429 180.779842 264.240989 23.838000 2000.067119 180.780186 264.250844 23.842810 2000.080809 180.780530 264.260014 23.848173 2000.094498 180.780874 264.268431 23.854044 2000.108188 180.781217 264.276036 23.860380 2000.121877 180.781561 264.282774 23.867131 2000.135567 180.781905 264.288599 23.874246 2000.149256 180.782249 264.293471 23.881668 2000.162946 180.782593 264.297359 23.889342 2000.176635 180.782936 264.300239 23.897210 2000.190325 180.783280 264.302096 23.905210 2000.204014 180.783624 264.302921 23.913284 2000.217704 180.783968 264.302715 23.921371 2000.231393 180.784311 264.301486 23.929411 2000.245083 180.784655 264.299250 23.937345 2000.258772 180.784999 264.296029 23.945114 2000.272462 180.785343 264.291854 23.952663 2000.286152 180.785687 264.286761 23.959936 2000.299841 180.786030 264.280796 23.966883 2000.313531 180.786374 264.274006 23.973454 2000.327220 180.786718 264.266447 23.979603 2000.340910 180.787062 264.258180 23.985287 2000.354599 180.787406 264.249268 23.990467 2000.368289 180.787749 264.239782 23.995108 2000.381978 180.788093 264.229794 23.999178 2000.395668 180.788437 264.219379 24.002652 2000.409357 180.788781 264.208616 24.005504 2000.423047 180.789125 264.197586 24.007718 2000.436736 180.789468 264.186369 24.009280 2000.450426 180.789812 264.175049 24.010179 2000.464115 180.790156 264.163708 24.010411 2000.477805 180.790500 264.152431 24.009976 2000.491494 180.790844 264.141299 24.008878 2000.505184 180.791187 264.130394 24.007126 2000.518874 180.791531 264.119795 24.004732 2000.532563 180.791875 264.109580 24.001715 2000.546253 180.792219 264.099824 23.998095 2000.559942 180.792562 264.090600 23.993900 2000.573632 180.792906 264.081975 23.989157 2000.587321 180.793250 264.074014 23.983902 2000.601011 180.793594 264.066778 23.978171 2000.614700 180.793938 264.060321 23.972005 2000.628390 180.794281 264.054694 23.965446 2000.642079 180.794625 264.049942 23.958542 2000.655769 180.794969 264.046103 23.951343 2000.669458 180.795313 264.043211 23.943898 2000.683148 180.795657 264.041292 23.936262 2000.696837 180.796000 264.040364 23.928489 2000.710527 180.796344 264.040442 23.920637 2000.724216 180.796688 264.041530 23.912763 2000.737906 180.797032 264.043627 23.904924 2000.751596 180.797376 264.046723 23.897178 2000.765285 180.797719 264.050803 23.889585 2000.778975 180.798063 264.055843 23.882200 2000.792664 180.798407 264.061812 23.875079 2000.806354 180.798751 264.068671 23.868278 2000.820043 180.799095 264.076376 23.861849 2000.833733 180.799438 264.084874 23.855842 2000.847422 180.799782 264.094107 23.850304 2000.861112 180.800126 264.104011 23.845279 2000.874801 180.800470 264.114516 23.840808 2000.888491 180.800813 264.125546 23.836926 2000.902180 180.801157 264.137022 23.833666 2000.915870 180.801501 264.148860 23.831055 2000.929559 180.801845 264.160973 23.829114 2000.943249 180.802189 264.173271 23.827861 2000.956938 180.802532 264.185663 23.827308 2000.970628 180.802876 264.198056 23.827459 2000.984318 180.803220 264.210359 23.828315 2000.998007 180.803564 264.222477 23.829872 2001.011697 180.803908 264.234322 23.832117 2001.025386 180.804251 264.245803 23.835034 2001.039076 180.804595 264.256835 23.838601 2001.052765 180.804939 264.267336 23.842791 2001.066455 180.805283 264.277228 23.847571 2001.080144 180.805627 264.286439 23.852905 2001.093834 180.805970 264.294901 23.858751 2001.107523 180.806314 264.302553 23.865063 2001.121213 180.806658 264.309342 23.871794 2001.134902 180.807002 264.315219 23.878890 2001.148592 180.807346 264.320146 23.886298 2001.162281 180.807689 264.324091 23.893961 2001.175971 180.808033 264.327028 23.901820 2001.189660 180.808377 264.328943 23.909816 2001.203350 180.808721 264.329826 23.917888 2001.217040 180.809065 264.329678 23.925977 2001.230729 180.809408 264.328507 23.934021 2001.244419 180.809752 264.326326 23.941963 2001.258108 180.810096 264.323160 23.949743 2001.271798 180.810440 264.319037 23.957306 2001.285487 180.810783 264.313996 23.964596 2001.299177 180.811127 264.308077 23.971563 2001.312866 180.811471 264.301332 23.978155 2001.326556 180.811815 264.293815 23.984329 2001.340245 180.812159 264.285585 23.990039 2001.353935 180.812502 264.276708 23.995248 2001.367624 180.812846 264.267252 23.999920 2001.381314 180.813190 264.257290 24.004022 2001.395003 180.813534 264.246896 24.007529 2001.408693 180.813878 264.236151 24.010416 2001.422382 180.814221 264.225132 24.012665 2001.436072 180.814565 264.213923 24.014262 2001.449762 180.814909 264.202606 24.015198 2001.463451 180.815253 264.191264 24.015466 2001.477141 180.815597 264.179980 24.015067 2001.490830 180.815940 264.168837 24.014005 2001.504520 180.816284 264.157916 24.012288 2001.518209 180.816628 264.147298 24.009928 2001.531899 180.816972 264.137059 24.006944 2001.545588 180.817316 264.127275 24.003356 2001.559278 180.817659 264.118018 23.999190 2001.572967 180.818003 264.109357 23.994476 2001.586657 180.818347 264.101357 23.989247 2001.600346 180.818691 264.094077 23.983540 2001.614036 180.819035 264.087575 23.977396 2001.627725 180.819378 264.081900 23.970857 2001.641415 180.819722 264.077097 23.963970 2001.655105 180.820066 264.073206 23.956784 2001.668794 180.820410 264.070259 23.949350 2001.682484 180.820754 264.068284 23.941722 2001.696173 180.821097 264.067300 23.933955 2001.709863 180.821441 264.067321 23.926105 2001.723552 180.821785 264.068352 23.918229 2001.737242 180.822129 264.070392 23.910386 2001.750931 180.822473 264.073433 23.902633 2001.764621 180.822816 264.077459 23.895029 2001.778310 180.823160 264.082446 23.887630 2001.792000 180.823504 264.088364 23.880493 2001.805689 180.823848 264.095174 23.873673 2001.819379 180.824191 264.102833 23.867221 2001.833068 180.824535 264.111289 23.861190 2001.846758 180.824879 264.120483 23.855624 2001.860447 180.825223 264.130351 23.850570 2001.874137 180.825567 264.140825 23.846067 2001.887827 180.825910 264.151828 23.842152 2001.901516 180.826254 264.163282 23.838857 2001.915206 180.826598 264.175102 23.836210 2001.928895 180.826942 264.187202 23.834232 2001.942585 180.827286 264.199493 23.832941 2001.956274 180.827629 264.211883 23.832349 2001.969964 180.827973 264.224280 23.832462 2001.983653 180.828317 264.236591 23.833281 2001.997343 180.828661 264.248723 23.834800 2002.011032 180.829005 264.260586 23.837008 2002.024722 180.829348 264.272090 23.839889 2002.038411 180.829692 264.283150 23.843422 2002.052101 180.830036 264.293684 23.847579 2002.065790 180.830380 264.303613 23.852329 2002.079480 180.830724 264.312864 23.857634 2002.093169 180.831067 264.321370 23.863454 2002.106859 180.831411 264.329070 23.869743 2002.120549 180.831755 264.335909 23.876453 2002.134238 180.832099 264.341839 23.883531 2002.147928 180.832443 264.346821 23.890924 2002.161617 180.832786 264.350821 23.898575 2002.175307 180.833130 264.353816 23.906426 2002.188996 180.833474 264.355789 23.914416 2002.202686 180.833818 264.356731 23.922487 2002.216375 180.834162 264.356641 23.930577 2002.230065 180.834505 264.355526 23.938626 2002.243754 180.834849 264.353402 23.946575 2002.257444 180.835193 264.350290 23.954367 2002.271133 180.835537 264.346220 23.961943 2002.284823 180.835881 264.341229 23.969250 2002.298512 180.836224 264.335359 23.976236 2002.312202 180.836568 264.328659 23.982851 2002.325891 180.836912 264.321183 23.989049 2002.339581 180.837256 264.312991 23.994786 2002.353271 180.837600 264.304148 24.000023 2002.366960 180.837943 264.294723 24.004725 2002.380650 180.838287 264.284786 24.008860 2002.394339 180.838631 264.274415 24.012400 2002.408029 180.838975 264.263686 24.015321 2002.421718 180.839319 264.252681 24.017606 2002.435408 180.839662 264.241479 24.019239 2002.449097 180.840006 264.230166 24.020210 2002.462787 180.840350 264.218822 24.020515 2002.476476 180.840694 264.207532 24.020152 2002.490166 180.841037 264.196379 24.019125 2002.503855 180.841381 264.185443 24.017443 2002.517545 180.841725 264.174804 24.015117 2002.531234 180.842069 264.164541 24.012166 2002.544924 180.842413 264.154729 24.008610 2002.558613 180.842756 264.145440 24.004474 2002.572303 180.843100 264.136743 23.999789 2002.585993 180.843444 264.128704 23.994586 2002.599682 180.843788 264.121382 23.988904 2002.613372 180.844132 264.114834 23.982781 2002.627061 180.844475 264.109110 23.976262 2002.640751 180.844819 264.104257 23.969392 2002.654440 180.845163 264.100313 23.962220 2002.668130 180.845507 264.097313 23.954797 2002.681819 180.845851 264.095282 23.947178 2002.695509 180.846194 264.094242 23.939416 2002.709198 180.846538 264.094206 23.931568 2002.722888 180.846882 264.095180 23.923691 2002.736577 180.847226 264.097164 23.915844 2002.750267 180.847570 264.100149 23.908084 2002.763956 180.847913 264.104120 23.900469 2002.777646 180.848257 264.109054 23.893057 2002.791335 180.848601 264.114920 23.885904 2002.805025 180.848945 264.121682 23.879064 2002.818715 180.849289 264.129295 23.872590 2002.832404 180.849632 264.137708 23.866534 2002.846094 180.849976 264.146863 23.860942 2002.859783 180.850320 264.156696 23.855858 2002.873473 180.850664 264.167138 23.851324 2002.887162 180.851008 264.178114 23.847376 2002.900852 180.851351 264.189545 23.844046 2002.914541 180.851695 264.201348 23.841362 2002.928231 180.852039 264.213435 23.839348 2002.941920 180.852383 264.225718 23.838019 2002.955610 180.852727 264.238106 23.837389 2002.969299 180.853070 264.250506 23.837463 2002.982989 180.853414 264.262824 23.838244 2002.996678 180.853758 264.274969 23.839725 2003.010368 180.854102 264.286850 23.841896 2003.024058 180.854446 264.298378 23.844742 2003.037747 180.854789 264.309466 23.848240 2003.051437 180.855133 264.320032 23.852365 2003.065126 180.855477 264.329998 23.857084 2003.078816 180.855821 264.339289 23.862360 2003.092505 180.856165 264.347839 23.868154 2003.106195 180.856508 264.355586 23.874419 2003.119884 180.856852 264.362475 23.881108 2003.133574 180.857196 264.368458 23.888168 2003.147263 180.857540 264.373494 23.895546 2003.160953 180.857884 264.377551 23.903186 2003.174642 180.858227 264.380603 23.911028 2003.188332 180.858571 264.382634 23.919013 2003.202021 180.858915 264.383634 23.927081 2003.215711 180.859259 264.383602 23.935172 2003.229400 180.859603 264.382545 23.943226 2003.243090 180.859946 264.380477 23.951183 2003.256780 180.860290 264.377420 23.958985 2003.270469 180.860634 264.373403 23.966575 2003.284159 180.860978 264.368462 23.973899 2003.297848 180.861322 264.362640 23.980904 2003.311538 180.861665 264.355985 23.987541 2003.325227 180.862009 264.348551 23.993763 2003.338917 180.862353 264.340398 23.999526 2003.352606 180.862697 264.331589 24.004792 2003.366296 180.863041 264.322194 24.009525 2003.379985 180.863384 264.312284 24.013691 2003.393675 180.863728 264.301935 24.017264 2003.407364 180.864072 264.291223 24.020220 2003.421054 180.864416 264.280231 24.022539 2003.434743 180.864760 264.269038 24.024208 2003.448433 180.865103 264.257728 24.025216 2003.462122 180.865447 264.246383 24.025557 2003.475812 180.865791 264.235087 24.025230 2003.489502 180.866135 264.223923 24.024239 2003.503191 180.866479 264.212972 24.022591 2003.516881 180.866822 264.202314 24.020300 2003.530570 180.867166 264.192028 24.017382 2003.544260 180.867510 264.182188 24.013858 2003.557949 180.867854 264.172867 24.009752 2003.571639 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2015.988042 181.180041 264.616311 23.903513 2016.001732 181.180385 264.628403 23.905201 2016.015421 181.180729 264.640206 23.907576 2016.029111 181.181073 264.651632 23.910620 2016.042801 181.181417 264.662596 23.914310 2016.056490 181.181761 264.673015 23.918618 2016.070180 181.182104 264.682814 23.923511 2016.083869 181.182448 264.691919 23.928950 2016.097559 181.182792 264.700265 23.934894 2016.111248 181.183136 264.707792 23.941297 2016.124938 181.183480 264.714447 23.948109 2016.138627 181.183824 264.720183 23.955277 2016.152317 181.184168 264.724963 23.962746 2016.166006 181.184511 264.728755 23.970460 2016.179696 181.184855 264.731536 23.978359 2016.193385 181.185199 264.733292 23.986384 2016.207075 181.185543 264.734016 23.994475 2016.220764 181.185887 264.733708 24.002570 2016.234454 181.186231 264.732378 24.010610 2016.248143 181.186574 264.730041 24.018537 2016.261833 181.186918 264.726722 24.026290 2016.275523 181.187262 264.722452 24.033816 2016.289212 181.187606 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2018.780707 181.250186 264.540526 23.971968 2018.794396 181.250530 264.546489 23.964840 2018.808086 181.250874 264.553345 23.958034 2018.821775 181.251217 264.561047 23.951601 2018.835465 181.251561 264.569544 23.945592 2018.849154 181.251905 264.578779 23.940054 2018.862844 181.252249 264.588685 23.935032 2018.876533 181.252593 264.599194 23.930565 2018.890223 181.252937 264.610230 23.926690 2018.903912 181.253281 264.621713 23.923438 2018.917602 181.253624 264.633560 23.920836 2018.931291 181.253968 264.645682 23.918908 2018.944981 181.254312 264.657992 23.917668 2018.958670 181.254656 264.670396 23.917129 2018.972360 181.255000 264.682803 23.917297 2018.986049 181.255344 264.695120 23.918171 2018.999739 181.255688 264.707254 23.919746 2019.013429 181.256031 264.719115 23.922010 2019.027118 181.256375 264.730612 23.924947 2019.040808 181.256719 264.741662 23.928535 2019.054497 181.257063 264.752180 23.932746 2019.068187 181.257407 264.762090 23.937547 2019.081876 181.257751 264.771319 23.942902 2019.095566 181.258094 264.779799 23.948768 2019.109255 181.258438 264.787469 23.955101 2019.122945 181.258782 264.794276 23.961852 2019.136634 181.259126 264.800171 23.968968 2019.150324 181.259470 264.805116 23.976394 2019.164013 181.259814 264.809077 23.984074 2019.177703 181.260158 264.812031 23.991949 2019.191392 181.260501 264.813961 23.999960 2019.205082 181.260845 264.814860 24.008046 2019.218771 181.261189 264.814726 24.016147 2019.232461 181.261533 264.813567 24.024202 2019.246151 181.261877 264.811399 24.032153 2019.259840 181.262221 264.808243 24.039941 2019.273530 181.262565 264.804131 24.047509 2019.287219 181.262908 264.799098 24.054804 2019.300909 181.263252 264.793187 24.061773 2019.314598 181.263596 264.786447 24.068366 2019.328288 181.263940 264.778934 24.074539 2019.341977 181.264284 264.770707 24.080247 2019.355667 181.264628 264.761831 24.085451 2019.369356 181.264972 264.752375 24.090117 2019.383046 181.265315 264.742411 24.094212 2019.396735 181.265659 264.732014 24.097709 2019.410425 181.266003 264.721263 24.100586 2019.424114 181.266347 264.710238 24.102823 2019.437804 181.266691 264.699021 24.104407 2019.451494 181.267035 264.687694 24.105327 2019.465183 181.267379 264.676341 24.105580 2019.478873 181.267722 264.665045 24.105164 2019.492562 181.268066 264.653888 24.104083 2019.506252 181.268410 264.642953 24.102347 2019.519941 181.268754 264.632319 24.099967 2019.533631 181.269098 264.622063 24.096962 2019.547320 181.269442 264.612262 24.093353 2019.561010 181.269785 264.602987 24.089166 2019.574699 181.270129 264.594308 24.084430 2019.588389 181.270473 264.586289 24.079179 2019.602078 181.270817 264.578991 24.073450 2019.615768 181.271161 264.572469 24.067283 2019.629457 181.271505 264.566775 24.060722 2019.643147 181.271849 264.561954 24.053814 2019.656836 181.272192 264.558045 24.046607 2019.670526 181.272536 264.555082 24.039154 2019.684216 181.272880 264.553090 24.031506 2019.697905 181.273224 264.552091 24.023721 2019.711595 181.273568 264.552098 24.015854 2019.725284 181.273912 264.553116 24.007962 2019.738974 181.274256 264.555144 24.000105 2019.752663 181.274599 264.558175 23.992339 2019.766353 181.274943 264.562191 23.984723 2019.780042 181.275287 264.567171 23.977315 2019.793732 181.275631 264.573083 23.970171 2019.807421 181.275975 264.579890 23.963345 2019.821111 181.276319 264.587546 23.956890 2019.834800 181.276663 264.596001 23.950856 2019.848490 181.277006 264.605196 23.945291 2019.862179 181.277350 264.615067 23.940239 2019.875869 181.277694 264.625545 23.935740 2019.889558 181.278038 264.636554 23.931831 2019.903248 181.278382 264.648014 23.928545 2019.916938 181.278726 264.659843 23.925907 2019.930627 181.279070 264.671954 23.923941 2019.944317 181.279413 264.684256 23.922664 2019.958006 181.279757 264.696658 23.922086 2019.971696 181.280101 264.709068 23.922216 2019.985385 181.280445 264.721393 23.923051 2019.999075 181.280789 264.733541 23.924588 2020.012764 181.281133 264.745420 23.926816 2020.026454 181.281477 264.756941 23.929718 2020.040143 181.281820 264.768018 23.933271 2020.053833 181.282164 264.778570 23.937449 2020.067522 181.282508 264.788516 23.942220 2020.081212 181.282852 264.797786 23.947546 2020.094901 181.283196 264.806310 23.953387 2020.108591 181.283540 264.814028 23.959696 2020.122280 181.283884 264.820885 23.966426 2020.135970 181.284227 264.826833 23.973523 2020.149660 181.284571 264.831832 23.980935 2020.163349 181.284915 264.835849 23.988603 2020.177039 181.285259 264.838861 23.996470 2020.190728 181.285603 264.840849 24.004476 2020.204418 181.285947 264.841806 24.012560 2020.218107 181.286291 264.841730 24.020662 2020.231797 181.286634 264.840629 24.028722 2020.245486 181.286978 264.838517 24.036681 2020.259176 181.287322 264.835416 24.044480 2020.272865 181.287666 264.831356 24.052062 2020.286555 181.288010 264.826373 24.059374 2020.300244 181.288354 264.820510 24.066362 2020.313934 181.288698 264.813816 24.072978 2020.327623 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264.662433 24.021578 2023.750006 181.375007 264.665239 24.013784 2023.763695 181.375351 264.669037 24.006128 2023.777385 181.375695 264.673803 23.998666 2023.791075 181.376039 264.679509 23.991457 2023.804764 181.376383 264.686120 23.984554 2023.818454 181.376727 264.693591 23.978011 2023.832143 181.377071 264.701873 23.971879 2023.845833 181.377415 264.710909 23.966206 2023.859522 181.377758 264.720636 23.961036 2023.873212 181.378102 264.730986 23.956412 2023.886901 181.378446 264.741885 23.952371 2023.900591 181.378790 264.753254 23.948945 2023.914280 181.379134 264.765011 23.946163 2023.927970 181.379478 264.777069 23.944049 2023.941659 181.379822 264.789339 23.942620 2023.955349 181.380166 264.801729 23.941889 2023.969038 181.380509 264.814149 23.941865 2023.982728 181.380853 264.826504 23.942548 2023.996417 181.381197 264.838702 23.943934 2024.010107 181.381541 264.850652 23.946013 2024.023797 181.381885 264.862264 23.948771 2024.037486 181.382229 264.873452 23.952186 2024.051176 181.382573 264.884131 23.956233 2024.064865 181.382916 264.894222 23.960880 2024.078555 181.383260 264.903652 23.966091 2024.092244 181.383604 264.912352 23.971825 2024.105934 181.383948 264.920258 23.978039 2024.119623 181.384292 264.927314 23.984684 2024.133313 181.384636 264.933472 23.991709 2024.147002 181.384980 264.938689 23.999060 2024.160692 181.385324 264.942931 24.006680 2024.174381 181.385667 264.946172 24.014512 2024.188071 181.386011 264.948392 24.022495 2024.201760 181.386355 264.949582 24.030570 2024.215450 181.386699 264.949738 24.038677 2024.229139 181.387043 264.948867 24.046754 2024.242829 181.387387 264.946980 24.054742 2024.256519 181.387731 264.944100 24.062583 2024.270208 181.388075 264.940252 24.070220 2024.283898 181.388418 264.935473 24.077598 2024.297587 181.388762 264.929803 24.084663 2024.311277 181.389106 264.923291 24.091366 2024.324966 181.389450 264.915988 24.097660 2024.338656 181.389794 264.907954 24.103500 2024.352345 181.390138 264.899252 24.108848 2024.366035 181.390482 264.889950 24.113665 2024.379724 181.390826 264.880118 24.117919 2024.393414 181.391169 264.869833 24.121583 2024.407103 181.391513 264.859171 24.124631 2024.420793 181.391857 264.848212 24.127044 2024.434482 181.392201 264.837038 24.128807 2024.448172 181.392545 264.825731 24.129908 2024.461861 181.392889 264.814374 24.130342 2024.475551 181.393233 264.803050 24.130107 2024.489241 181.393577 264.791843 24.129206 2024.502930 181.393920 264.780834 24.127645 2024.516620 181.394264 264.770103 24.125437 2024.530309 181.394608 264.759730 24.122598 2024.543999 181.394952 264.749790 24.119149 2024.557688 181.395296 264.740357 24.115113 2024.571378 181.395640 264.731501 24.110521 2024.585067 181.395984 264.723287 24.105403 2024.598757 181.396328 264.715777 24.099797 2024.612446 181.396671 264.709030 24.093741 2024.626136 181.397015 264.703096 24.087279 2024.639825 181.397359 264.698023 24.080456 2024.653515 181.397703 264.693852 24.073322 2024.667204 181.398047 264.690618 24.065925 2024.680894 181.398391 264.688349 24.058321 2024.694583 181.398735 264.687069 24.050563 2024.708273 181.399079 264.686791 24.042708 2024.721963 181.399422 264.687524 24.034813 2024.735652 181.399766 264.689269 24.026936 2024.749342 181.400110 264.692019 24.019135 2024.763031 181.400454 264.695761 24.011469 2024.776721 181.400798 264.700474 24.003995 2024.790410 181.401142 264.706129 23.996769 2024.804100 181.401486 264.712690 23.989847 2024.817789 181.401830 264.720115 23.983283 2024.831479 181.402173 264.728353 23.977126 2024.845168 181.402517 264.737349 23.971426 2024.858858 181.402861 264.747039 23.966228 2024.872547 181.403205 264.757357 23.961573 2024.886237 181.403549 264.768228 23.957498 2024.899926 181.403893 264.779573 23.954038 2024.913616 181.404237 264.791311 23.951220 2024.927306 181.404581 264.803355 23.949069 2024.940995 181.404924 264.815616 23.947602 2024.954685 181.405268 264.828003 23.946834 2024.968374 181.405612 264.840424 23.946771 2024.982064 181.405956 264.852786 23.947415 2024.995753 181.406300 264.864997 23.948763 2025.009443 181.406644 264.876964 23.950806 2025.023132 181.406988 264.888598 23.953528 2025.036822 181.407332 264.899812 23.956908 2025.050511 181.407675 264.910522 23.960922 2025.064201 181.408019 264.920649 23.965537 2025.077890 181.408363 264.930119 23.970719 2025.091580 181.408707 264.938862 23.976427 2025.105269 181.409051 264.946815 23.982616 2025.118959 181.409395 264.953921 23.989240 2025.132648 181.409739 264.960131 23.996246 2025.146338 181.410083 264.965402 24.003581 2025.160028 181.410427 264.969700 24.011189 2025.173717 181.410770 264.972997 24.019011 2025.187407 181.411114 264.975275 24.026989 2025.201096 181.411458 264.976523 24.035061 2025.214786 181.411802 264.976738 24.043168 2025.228475 181.412146 264.975924 24.051249 2025.242165 181.412490 264.974094 24.059245 2025.255854 181.412834 264.971269 24.067096 2025.269544 181.413178 264.967475 24.074746 2025.283233 181.413521 264.962747 24.082139 2025.296923 181.413865 264.957126 24.089224 2025.310612 181.414209 264.950659 24.095948 2025.324302 181.414553 264.943399 24.102266 2025.337991 181.414897 264.935404 24.108133 2025.351681 181.415241 264.926738 24.113508 2025.365370 181.415585 264.917467 24.118355 2025.379060 181.415929 264.907663 24.122641 2. VULCAN'S PREHISTORY EPHEMERIS This file is a time history of the latest C'EV Vulcan orbit. It uses the same orbit parameters as before, that is the prior VULCAN'S CURRENT EPHEMERIS listing This file calculates the position of VULCAN in ECI TOD coordinates at approximately one year intervals starting about June 1, 3048 B.C. The actual time interval between points was made slightly larger than one year so that Vulcan's position would be opposite the Sun at the time points. Since Vulcan is in an elliptic orbit it's position relative to the Sun changes during an orbit period. No correction in time was made for this effect so Vulcan is not 180 deg in Right Ascension from the Sun at all time points. In fact it's position can vary quite a bit. It was felt that TOD coordinates were most appropriate for this time history. TIME(yrs) TRUE ANOM. RT. ASC.(deg) DECLIN.(deg) TOD -3047.586576 180.336873 211.474244 38.423824 -3046.586377 180.361989 211.515718 38.412826 -3045.586178 180.387105 211.557184 38.401824 -3044.585979 180.412222 211.598641 38.390817 -3043.585781 180.437338 211.640089 38.379806 -3042.585582 180.462455 211.681529 38.368790 -3041.585383 180.487571 211.722960 38.357769 -3040.585184 180.512688 211.764383 38.346745 -3039.584985 180.537805 211.805797 38.335715 -3038.584786 180.562922 211.847203 38.324681 -3037.584588 180.588039 211.888600 38.313643 -3036.584389 180.613156 211.929989 38.302600 -3035.584190 180.638274 211.971369 38.291553 -3034.583991 180.663391 212.012741 38.280501 -3033.583792 180.688509 212.054105 38.269445 -3032.583593 180.713627 212.095460 38.258384 -3031.583394 180.738745 212.136807 38.247319 -3030.583196 180.763863 212.178145 38.236250 -3029.582997 180.788982 212.219475 38.225176 -3028.582798 180.814100 212.260796 38.214097 -3027.582599 180.839219 212.302109 38.203014 -3026.582400 180.864338 212.343414 38.191927 -3025.582201 180.889457 212.384711 38.180835 -3024.582002 180.914576 212.425999 38.169739 -3023.581804 180.939696 212.467279 38.158639 -3022.581605 180.964816 212.508550 38.147534 -3021.581406 180.989936 212.549814 38.136425 -3020.581207 181.015056 212.591069 38.125311 -3019.581008 181.040176 212.632315 38.114193 -3018.580809 181.065297 212.673554 38.103071 -3017.580611 181.090418 212.714784 38.091944 -3016.580412 181.115539 212.756006 38.080813 -3015.580213 181.140661 212.797220 38.069677 -3014.580014 181.165782 212.838425 38.058537 -3013.579815 181.190904 212.879623 38.047393 -3012.579616 181.216027 212.920812 38.036245 -3011.579417 181.241149 212.961993 38.025092 -3010.579219 181.266272 213.003166 38.013935 -3009.579020 181.291395 213.044331 38.002773 -3008.578821 181.316519 213.085487 37.991607 -3007.578622 181.341642 213.126636 37.980437 -3006.578423 181.366766 213.167776 37.969263 -3005.578224 181.391891 213.208908 37.958084 -3004.578025 181.417015 213.250032 37.946901 -3003.577827 181.442140 213.291149 37.935714 -3002.577628 181.467266 213.332257 37.924523 -3001.577429 181.492391 213.373357 37.913327 -3000.577230 181.517517 213.414449 37.902127 -2999.577031 181.542644 213.455533 37.890923 -2998.576832 181.567770 213.496609 37.879714 -2997.576634 181.592898 213.537676 37.868501 -2996.576435 181.618025 213.578736 37.857284 -2995.576236 181.643153 213.619788 37.846063 -2994.576037 181.668281 213.660832 37.834837 -2993.575838 181.693410 213.701868 37.823608 -2992.575639 181.718539 213.742897 37.812374 -2991.575440 181.743668 213.783917 37.801136 -2990.575242 181.768798 213.824929 37.789893 -2989.575043 181.793928 213.865933 37.778647 -2988.574844 181.819059 213.906930 37.767396 -2987.574645 181.844190 213.947919 37.756141 -2986.574446 181.869321 213.988899 37.744882 -2985.574247 181.894453 214.029872 37.733619 -2984.574048 181.919585 214.070837 37.722351 -2983.573850 181.944718 214.111794 37.711080 -2982.573651 181.969851 214.152744 37.699804 -2981.573452 181.994985 214.193685 37.688524 -2980.573253 182.020119 214.234619 37.677240 -2979.573054 182.045254 214.275545 37.665952 -2978.572855 182.070389 214.316463 37.654660 -2977.572657 182.095524 214.357374 37.643363 -2976.572458 182.120660 214.398276 37.632063 -2975.572259 182.145797 214.439171 37.620758 -2974.572060 182.170934 214.480059 37.609449 -2973.571861 182.196071 214.520938 37.598136 -2972.571662 182.221209 214.561810 37.586819 -2971.571463 182.246348 214.602674 37.575498 -2970.571265 182.271487 214.643531 37.564173 -2969.571066 182.296627 214.684379 37.552844 -2968.570867 182.321767 214.725221 37.541510 -2967.570668 182.346907 214.766054 37.530173 -2966.570469 182.372048 214.806880 37.518831 -2965.570270 182.397190 214.847698 37.507486 -2964.570071 182.422332 214.888509 37.496136 -2963.569873 182.447475 214.929312 37.484782 -2962.569674 182.472619 214.970108 37.473425 -2961.569475 182.497763 215.010895 37.462063 -2960.569276 182.522907 215.051676 37.450697 -2959.569077 182.548052 215.092449 37.439327 -2958.568878 182.573198 215.133214 37.427953 -2957.568680 182.598345 215.173972 37.416576 -2956.568481 182.623492 215.214722 37.405194 -2955.568282 182.648639 215.255465 37.393808 -2954.568083 182.673787 215.296200 37.382418 -2953.567884 182.698936 215.336928 37.371024 -2952.567685 182.724085 215.377648 37.359626 -2951.567486 182.749235 215.418361 37.348224 -2950.567288 182.774386 215.459067 37.336819 -2949.567089 182.799537 215.499765 37.325409 -2948.566890 182.824689 215.540455 37.313995 -2947.566691 182.849842 215.581139 37.302577 -2946.566492 182.874995 215.621815 37.291156 -2945.566293 182.900149 215.662483 37.279730 -2944.566094 182.925304 215.703144 37.268300 -2943.565896 182.950459 215.743798 37.256867 -2942.565697 182.975615 215.784444 37.245429 -2941.565498 183.000772 215.825083 37.233988 -2940.565299 183.025929 215.865715 37.222543 -2939.565100 183.051087 215.906340 37.211093 -2938.564901 183.076246 215.946957 37.199640 -2937.564703 183.101405 215.987567 37.188183 -2936.564504 183.126565 216.028169 37.176722 -2935.564305 183.151726 216.068765 37.165257 -2934.564106 183.176888 216.109353 37.153788 -2933.563907 183.202050 216.149934 37.142316 -2932.563708 183.227213 216.190508 37.130839 -2931.563509 183.252377 216.231074 37.119359 -2930.563311 183.277542 216.271633 37.107874 -2929.563112 183.302707 216.312186 37.096386 -2928.562913 183.327873 216.352731 37.084894 -2927.562714 183.353040 216.393268 37.073398 -2926.562515 183.378208 216.433799 37.061899 -2925.562316 183.403377 216.474322 37.050395 -2924.562117 183.428546 216.514839 37.038887 -2923.561919 183.453716 216.555348 37.027376 -2922.561720 183.478887 216.595850 37.015861 -2921.561521 183.504058 216.636345 37.004342 -2920.561322 183.529231 216.676833 36.992819 -2919.561123 183.554404 216.717314 36.981293 -2918.560924 183.579578 216.757788 36.969762 -2917.560726 183.604753 216.798255 36.958228 -2916.560527 183.629929 216.838715 36.946690 -2915.560328 183.655106 216.879168 36.935148 -2914.560129 183.680283 216.919614 36.923603 -2913.559930 183.705461 216.960053 36.912053 -2912.559731 183.730641 217.000484 36.900500 -2911.559532 183.755821 217.040909 36.888943 -2910.559334 183.781002 217.081327 36.877383 -2909.559135 183.806183 217.121738 36.865818 -2908.558936 183.831366 217.162142 36.854250 -2907.558737 183.856550 217.202540 36.842678 -2906.558538 183.881734 217.242930 36.831102 -2905.558339 183.906919 217.283313 36.819523 -2904.558140 183.932106 217.323690 36.807939 -2903.557942 183.957293 217.364059 36.796352 -2902.557743 183.982481 217.404422 36.784762 -2901.557544 184.007670 217.444778 36.773167 -2900.557345 184.032860 217.485127 36.761569 -2899.557146 184.058051 217.525469 36.749967 -2898.556947 184.083243 217.565805 36.738362 -2897.556749 184.108435 217.606133 36.726752 -2896.556550 184.133629 217.646455 36.715139 -2895.556351 184.158824 217.686770 36.703523 -2894.556152 184.184019 217.727079 36.691902 -2893.555953 184.209216 217.767380 36.680278 -2892.555754 184.234414 217.807675 36.668651 -2891.555555 184.259612 217.847963 36.657019 -2890.555357 184.284812 217.888245 36.645384 -2889.555158 184.310012 217.928519 36.633745 -2888.554959 184.335214 217.968788 36.622103 -2887.554760 184.360417 218.009049 36.610457 -2886.554561 184.385620 218.049304 36.598807 -2885.554362 184.410825 218.089552 36.587153 -2884.554163 184.436030 218.129793 36.575496 -2883.553965 184.461237 218.170028 36.563836 -2882.553766 184.486445 218.210256 36.552171 -2881.553567 184.511653 218.250478 36.540503 -2880.553368 184.536863 218.290692 36.528832 -2879.553169 184.562074 218.330901 36.517157 -2878.552970 184.587286 218.371103 36.505478 -2877.552772 184.612499 218.411298 36.493795 -2876.552573 184.637713 218.451487 36.482109 -2875.552374 184.662928 218.491669 36.470420 -2874.552175 184.688144 218.531845 36.458726 -2873.551976 184.713362 218.572014 36.447030 -2872.551777 184.738580 218.612176 36.435329 -2871.551578 184.763800 218.652333 36.423625 -2870.551380 184.789020 218.692482 36.411917 -2869.551181 184.814242 218.732626 36.400206 -2868.550982 184.839465 218.772762 36.388492 -2867.550783 184.864689 218.812893 36.376773 -2866.550584 184.889914 218.853017 36.365051 -2865.550385 184.915140 218.893134 36.353326 -2864.550186 184.940367 218.933245 36.341597 -2863.549988 184.965596 218.973350 36.329864 -2862.549789 184.990826 219.013449 36.318128 -2861.549590 185.016057 219.053541 36.306389 -2860.549391 185.041289 219.093626 36.294646 -2859.549192 185.066522 219.133706 36.282899 -2858.548993 185.091756 219.173779 36.271149 -2857.548795 185.116992 219.213845 36.259395 -2856.548596 185.142228 219.253906 36.247638 -2855.548397 185.167466 219.293960 36.235877 -2854.548198 185.192706 219.334008 36.224113 -2853.547999 185.217946 219.374049 36.212345 -2852.547800 185.243188 219.414085 36.200574 -2851.547601 185.268430 219.454114 36.188799 -2850.547403 185.293674 219.494137 36.177021 -2849.547204 185.318920 219.534153 36.165239 -2848.547005 185.344166 219.574164 36.153454 -2847.546806 185.369414 219.614168 36.141665 -2846.546607 185.394663 219.654166 36.129873 -2845.546408 185.419913 219.694158 36.118077 -2844.546209 185.445165 219.734144 36.106278 -2843.546011 185.470417 219.774123 36.094476 -2842.545812 185.495672 219.814097 36.082670 -2841.545613 185.520927 219.854064 36.070860 -2840.545414 185.546184 219.894025 36.059047 -2839.545215 185.571441 219.933980 36.047231 -2838.545016 185.596701 219.973929 36.035411 -2837.544818 185.621961 220.013872 36.023588 -2836.544619 185.647223 220.053809 36.011761 -2835.544420 185.672486 220.093740 35.999931 -2834.544221 185.697751 220.133665 35.988098 -2833.544022 185.723017 220.173584 35.976261 -2832.543823 185.748284 220.213497 35.964420 -2831.543624 185.773552 220.253403 35.952577 -2830.543426 185.798822 220.293304 35.940730 -2829.543227 185.824093 220.333199 35.928879 -2828.543028 185.849366 220.373088 35.917025 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175.731254 256.743017 23.126433 1800.377250 175.756537 256.780274 23.130686 1801.377449 175.781817 256.817530 23.134940 1802.377648 175.807095 256.854784 23.139194 1803.377846 175.832371 256.892036 23.143450 1804.378045 175.857646 256.929286 23.147707 1805.378244 175.882918 256.966536 23.151965 1806.378443 175.908189 257.003783 23.156225 1807.378642 175.933457 257.041029 23.160485 1808.378841 175.958724 257.078274 23.164746 1809.379040 175.983989 257.115517 23.169008 1810.379238 176.009252 257.152758 23.173272 1811.379437 176.034513 257.189998 23.177536 1812.379636 176.059772 257.227237 23.181802 1813.379835 176.085029 257.264474 23.186069 1814.380034 176.110285 257.301709 23.190336 1815.380233 176.135539 257.338944 23.194605 1816.380432 176.160791 257.376176 23.198875 1817.380630 176.186041 257.413408 23.203146 1818.380829 176.211290 257.450638 23.207418 1819.381028 176.236536 257.487866 23.211692 1820.381227 176.261781 257.525094 23.215966 1821.381426 176.287024 257.562319 23.220242 1822.381625 176.312266 257.599544 23.224518 1823.381823 176.337506 257.636767 23.228796 1824.382022 176.362744 257.673989 23.233075 1825.382221 176.387980 257.711210 23.237355 1826.382420 176.413215 257.748429 23.241636 1827.382619 176.438448 257.785647 23.245918 1828.382818 176.463679 257.822864 23.250202 1829.383017 176.488909 257.860080 23.254486 1830.383215 176.514137 257.897294 23.258772 1831.383414 176.539364 257.934507 23.263059 1832.383613 176.564589 257.971719 23.267347 1833.383812 176.589812 258.008930 23.271636 1834.384011 176.615034 258.046140 23.275926 1835.384210 176.640254 258.083348 23.280217 1836.384409 176.665472 258.120556 23.284510 1837.384607 176.690689 258.157762 23.288804 1838.384806 176.715905 258.194967 23.293098 1839.385005 176.741119 258.232171 23.297394 1840.385204 176.766331 258.269374 23.301692 1841.385403 176.791542 258.306575 23.305990 1842.385602 176.816752 258.343776 23.310290 1843.385800 176.841960 258.380976 23.314590 1844.385999 176.867166 258.418174 23.318892 1845.386198 176.892371 258.455372 23.323195 1846.386397 176.917575 258.492569 23.327500 1847.386596 176.942777 258.529764 23.331805 1848.386795 176.967978 258.566959 23.336112 1849.386994 176.993177 258.604153 23.340420 1850.387192 177.018375 258.641345 23.344729 1851.387391 177.043572 258.678537 23.349039 1852.387590 177.068767 258.715728 23.353350 1853.387789 177.093961 258.752918 23.357663 1854.387988 177.119154 258.790107 23.361977 1855.388187 177.144345 258.827295 23.366292 1856.388386 177.169535 258.864482 23.370608 1857.388584 177.194723 258.901669 23.374926 1858.388783 177.219911 258.938854 23.379244 1859.388982 177.245097 258.976039 23.383564 1860.389181 177.270281 259.013223 23.387885 1861.389380 177.295465 259.050406 23.392208 1862.389579 177.320647 259.087588 23.396531 1863.389777 177.345828 259.124769 23.400856 1864.389976 177.371008 259.161950 23.405182 1865.390175 177.396186 259.199130 23.409510 1866.390374 177.421364 259.236309 23.413838 1867.390573 177.446540 259.273488 23.418168 1868.390772 177.471715 259.310666 23.422499 1869.390971 177.496888 259.347843 23.426831 1870.391169 177.522061 259.385019 23.431165 1871.391368 177.547232 259.422195 23.435499 1872.391567 177.572403 259.459370 23.439835 1873.391766 177.597572 259.496544 23.444173 1874.391965 177.622740 259.533718 23.448511 1875.392164 177.647907 259.570891 23.452851 1876.392363 177.673073 259.608064 23.457192 1877.392561 177.698238 259.645236 23.461534 1878.392760 177.723401 259.682407 23.465878 1879.392959 177.748564 259.719578 23.470223 1880.393158 177.773726 259.756748 23.474569 1881.393357 177.798886 259.793918 23.478916 1882.393556 177.824046 259.831087 23.483265 1883.393754 177.849205 259.868256 23.487615 1884.393953 177.874362 259.905424 23.491966 1885.394152 177.899519 259.942592 23.496319 1886.394351 177.924675 259.979759 23.500673 1887.394550 177.949829 260.016926 23.505028 1888.394749 177.974983 260.054093 23.509384 1889.394948 178.000136 260.091258 23.513742 1890.395146 178.025288 260.128424 23.518101 1891.395345 178.050439 260.165589 23.522461 1892.395544 178.075589 260.202754 23.526823 1893.395743 178.100738 260.239918 23.531186 1894.395942 178.125886 260.277082 23.535550 1895.396141 178.151034 260.314246 23.539915 1896.396340 178.176180 260.351409 23.544282 1897.396538 178.201326 260.388572 23.548650 1898.396737 178.226471 260.425735 23.553020 1899.396936 178.251615 260.462897 23.557391 1900.397135 178.276758 260.500059 23.561763 1901.397334 178.301901 260.537221 23.566136 1902.397533 178.327043 260.574383 23.570511 1903.397731 178.352184 260.611544 23.574887 1904.397930 178.377324 260.648705 23.579265 1905.398129 178.402463 260.685866 23.583643 1906.398328 178.427602 260.723027 23.588024 1907.398527 178.452740 260.760187 23.592405 1908.398726 178.477877 260.797347 23.596788 1909.398925 178.503014 260.834508 23.601172 1910.399123 178.528150 260.871668 23.605557 1911.399322 178.553285 260.908828 23.609944 1912.399521 178.578419 260.945987 23.614332 1913.399720 178.603553 260.983147 23.618722 1914.399919 178.628686 261.020307 23.623113 1915.400118 178.653819 261.057466 23.627505 1916.400317 178.678951 261.094626 23.631899 1917.400515 178.704082 261.131785 23.636294 1918.400714 178.729213 261.168944 23.640690 1919.400913 178.754343 261.206104 23.645088 1920.401112 178.779473 261.243263 23.649487 1921.401311 178.804602 261.280422 23.653887 1922.401510 178.829730 261.317582 23.658289 1923.401708 178.854858 261.354741 23.662692 1924.401907 178.879985 261.391900 23.667097 1925.402106 178.905112 261.429060 23.671503 1926.402305 178.930239 261.466219 23.675910 1927.402504 178.955365 261.503379 23.680319 1928.402703 178.980490 261.540539 23.684729 1929.402902 179.005615 261.577699 23.689140 1930.403100 179.030739 261.614859 23.693553 1931.403299 179.055863 261.652019 23.697968 1932.403498 179.080987 261.689179 23.702383 1933.403697 179.106110 261.726339 23.706800 1934.403896 179.131233 261.763500 23.711219 1935.404095 179.156355 261.800661 23.715639 1936.404294 179.181477 261.837822 23.720060 1937.404492 179.206599 261.874983 23.724483 1938.404691 179.231720 261.912144 23.728907 1939.404890 179.256841 261.949306 23.733332 1940.405089 179.281961 261.986468 23.737759 1941.405288 179.307081 262.023630 23.742188 1942.405487 179.332201 262.060793 23.746617 1943.405685 179.357321 262.097956 23.751048 1944.405884 179.382440 262.135119 23.755481 1945.406083 179.407559 262.172282 23.759915 1946.406282 179.432678 262.209446 23.764350 1947.406481 179.457796 262.246610 23.768787 1948.406680 179.482914 262.283775 23.773226 1949.406879 179.508032 262.320940 23.777665 1950.407077 179.533150 262.358105 23.782106 1951.407276 179.558268 262.395271 23.786549 1952.407475 179.583385 262.432437 23.790993 1953.407674 179.608502 262.469604 23.795439 1954.407873 179.633619 262.506771 23.799885 1955.408072 179.658736 262.543938 23.804334 1956.408271 179.683852 262.581106 23.808784 1957.408469 179.708969 262.618275 23.813235 1958.408668 179.734085 262.655444 23.817688 1959.408867 179.759201 262.692613 23.822142 1960.409066 179.784317 262.729784 23.826597 1961.409265 179.809433 262.766954 23.831054 1962.409464 179.834549 262.804125 23.835513 1963.409662 179.859665 262.841297 23.839973 1964.409861 179.884781 262.878469 23.844434 1965.410060 179.909897 262.915642 23.848897 1966.410259 179.935012 262.952816 23.853361 1967.410458 179.960128 262.989990 23.857827 1968.410657 179.985244 263.027165 23.862295 1969.410856 -179.989641 263.064340 23.866763 1970.411054 -179.964525 263.101517 23.871234 1971.411253 -179.939410 263.138693 23.875705 1972.411452 -179.914294 263.175871 23.880178 1973.411651 -179.889178 263.213049 23.884653 1974.411850 -179.864062 263.250228 23.889129 1975.412049 -179.838947 263.287408 23.893607 1976.412248 -179.813831 263.324589 23.898086 1977.412446 -179.788715 263.361770 23.902567 1978.412645 -179.763599 263.398952 23.907049 1979.412844 -179.738482 263.436135 23.911532 1980.413043 -179.713366 263.473318 23.916017 1981.413242 -179.688250 263.510503 23.920504 1982.413441 -179.663133 263.547688 23.924992 1983.413639 -179.638016 263.584874 23.929481 1984.413838 -179.612899 263.622061 23.933973 1985.414037 -179.587782 263.659249 23.938465 1986.414236 -179.562665 263.696438 23.942959 1987.414435 -179.537548 263.733628 23.947455 1988.414634 -179.512430 263.770818 23.951952 1989.414833 -179.487312 263.808010 23.956450 1990.415031 -179.462194 263.845202 23.960950 1991.415230 -179.437076 263.882396 23.965452 1992.415429 -179.411957 263.919590 23.969955 1993.415628 -179.386838 263.956786 23.974460 1994.415827 -179.361719 263.993982 23.978966 1995.416026 -179.336599 264.031179 23.983474 1996.416225 -179.311479 264.068378 23.987983 1997.416423 -179.286359 264.105577 23.992493 1998.416622 -179.261239 264.142778 23.997006 1999.416821 -179.236118 264.179980 24.001519 2000.417020 -179.210997 264.217182 24.006035 2001.417219 -179.185875 264.254386 24.010551 2002.417418 -179.160753 264.291591 24.015070 2003.417616 -179.135631 264.328797 24.019590 2004.417815 -179.110509 264.366004 24.024111 2005.418014 -179.085385 264.403213 24.028634 2006.418213 -179.060262 264.440422 24.033158 2007.418412 -179.035138 264.477633 24.037684 2008.418611 -179.010014 264.514845 24.042212 2009.418810 -178.984889 264.552058 24.046741 2010.419008 -178.959763 264.589272 24.051272 2011.419207 -178.934638 264.626488 24.055804 2012.419406 -178.909511 264.663704 24.060338 2013.419605 -178.884385 264.700923 24.064873 2014.419804 -178.859257 264.738142 24.069410 2015.420003 -178.834129 264.775363 24.073948 2016.420202 -178.809001 264.812584 24.078488 2017.420400 -178.783872 264.849808 24.083029 2018.420599 -178.758743 264.887032 24.087572 2019.420798 -178.733613 264.924258 24.092117 2020.420997 -178.708482 264.961486 24.096663 2021.421196 -178.683351 264.998714 24.101211 2022.421395 -178.658219 265.035944 24.105760 2023.421593 -178.633086 265.073176 24.110311 2024.421792 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-157.432590 296.391135 28.215183 2817.579480 -157.402638 296.434985 28.220781 2818.579679 -157.372673 296.478853 28.226379 2819.579878 -157.342695 296.522738 28.231978 2820.580077 -157.312704 296.566642 28.237576 2821.580276 -157.282699 296.610563 28.243173 2822.580475 -157.252681 296.654502 28.248771 2823.580673 -157.222649 296.698459 28.254368 2824.580872 -157.192605 296.742434 28.259965 2825.581071 -157.162546 296.786427 28.265562 2826.581270 -157.132475 296.830438 28.271159 2827.581469 -157.102390 296.874466 28.276755 2828.581668 -157.072291 296.918513 28.282351 2829.581867 -157.042179 296.962579 28.287947 2830.582065 -157.012053 297.006662 28.293542 2831.582264 -156.981914 297.050763 28.299137 2832.582463 -156.951761 297.094883 28.304732 2833.582662 -156.921595 297.139021 28.310327 2834.582861 -156.891415 297.183177 28.315921 2835.583060 -156.861221 297.227351 28.321515 2836.583259 -156.831014 297.271544 28.327108 2837.583457 -156.800793 297.315755 28.332702 2838.583656 -156.770558 297.359985 28.338294 2839.583855 -156.740309 297.404233 28.343887 2840.584054 -156.710046 297.448499 28.349479 2841.584253 -156.679770 297.492785 28.355070 2842.584452 -156.649480 297.537088 28.360662 2843.584650 -156.619176 297.581410 28.366252 2844.584849 -156.588858 297.625751 28.371843 2845.585048 -156.558526 297.670111 28.377433 2846.585247 -156.528180 297.714489 28.383022 2847.585446 -156.497821 297.758886 28.388611 2848.585645 -156.467447 297.803301 28.394200 2849.585844 -156.437059 297.847736 28.399788 2850.586042 -156.406657 297.892189 28.405376 2851.586241 -156.376241 297.936661 28.410963 2852.586440 -156.345811 297.981152 28.416549 2853.586639 -156.315366 298.025662 28.422136 2854.586838 -156.284908 298.070191 28.427721 2855.587037 -156.254435 298.114739 28.433306 2856.587236 -156.223948 298.159306 28.438891 2857.587434 -156.193447 298.203892 28.444475 2858.587633 -156.162932 298.248498 28.450058 2859.587832 -156.132402 298.293122 28.455641 2860.588031 -156.101858 298.337766 28.461223 2861.588230 -156.071299 298.382428 28.466805 2862.588429 -156.040726 298.427110 28.472386 2863.588627 -156.010139 298.471812 28.477967 2864.588826 -155.979537 298.516532 28.483546 2865.589025 -155.948921 298.561273 28.489126 2866.589224 -155.918290 298.606032 28.494704 2867.589423 -155.887645 298.650811 28.500282 2868.589622 -155.856985 298.695609 28.505859 2869.589821 -155.826311 298.740427 28.511436 2870.590019 -155.795622 298.785265 28.517012 2871.590218 -155.764918 298.830122 28.522587 2872.590417 -155.734200 298.874998 28.528161 2873.590616 -155.703467 298.919895 28.533735 2874.590815 -155.672719 298.964811 28.539308 2875.591014 -155.641957 299.009747 28.544881 2876.591213 -155.611179 299.054702 28.550452 2877.591411 -155.580387 299.099677 28.556023 2878.591610 -155.549580 299.144673 28.561593 2879.591809 -155.518759 299.189688 28.567162 2880.592008 -155.487922 299.234723 28.572731 2881.592207 -155.457070 299.279778 28.578298 2882.592406 -155.426204 299.324853 28.583865 2883.592604 -155.395322 299.369948 28.589431 2884.592803 -155.364426 299.415063 28.594996 2885.593002 -155.333514 299.460198 28.600561 2886.593201 -155.302587 299.505353 28.606124 2887.593400 -155.271646 299.550529 28.611687 2888.593599 -155.240689 299.595724 28.617248 2889.593798 -155.209717 299.640940 28.622809 2890.593996 -155.178729 299.686177 28.628369 2891.594195 -155.147727 299.731433 28.633928 2892.594394 -155.116709 299.776710 28.639486 2893.594593 -155.085676 299.822008 28.645043 2894.594792 -155.054628 299.867325 28.650600 2895.594991 -155.023564 299.912664 28.656155 2896.595190 -154.992485 299.958023 28.661709 2897.595388 -154.961391 300.003402 28.667262 2898.595587 -154.930281 300.048802 28.672815 2899.595786 -154.899156 300.094223 28.678366 2900.595985 -154.868016 300.139664 28.683916 2901.596184 -154.836859 300.185126 28.689465 2902.596383 -154.805688 300.230609 28.695014 2903.596581 -154.774500 300.276112 28.700561 2904.596780 -154.743298 300.321637 28.706107 2905.596979 -154.712079 300.367182 28.711652 2906.597178 -154.680845 300.412748 28.717196 2907.597377 -154.649595 300.458335 28.722739 2908.597576 -154.618330 300.503944 28.728280 2909.597775 -154.587048 300.549573 28.733821 2910.597973 -154.555751 300.595223 28.739360 2911.598172 -154.524438 300.640894 28.744899 2912.598371 -154.493110 300.686587 28.750436 2913.598570 -154.461765 300.732300 28.755972 2914.598769 -154.430405 300.778035 28.761507 2915.598968 -154.399028 300.823791 28.767040 2916.599167 -154.367636 300.869569 28.772573 2917.599365 -154.336228 300.915368 28.778104 2918.599564 -154.304803 300.961188 28.783634 2919.599763 -154.273363 301.007029 28.789162 2920.599962 -154.241907 301.052893 28.794690 2921.600161 -154.210434 301.098777 28.800216 2922.600360 -154.178945 301.144683 28.805741 2923.600558 -154.147440 301.190611 28.811264 2924.600757 -154.115919 301.236560 28.816787 2925.600956 -154.084382 301.282531 28.822308 2926.601155 -154.052829 301.328524 28.827827 2927.601354 -154.021259 301.374538 28.833345 2928.601553 -153.989673 301.420574 28.838862 2929.601752 -153.958070 301.466632 28.844378 2930.601950 -153.926451 301.512712 28.849892 2931.602149 -153.894816 301.558814 28.855405 2932.602348 -153.863164 301.604938 28.860916 2933.602547 -153.831496 301.651083 28.866426 2934.602746 -153.799811 301.697251 28.871935 2935.602945 -153.768110 301.743441 28.877442 2936.603144 -153.736392 301.789653 28.882947 2937.603342 -153.704657 301.835887 28.888451 2938.603541 -153.672906 301.882143 28.893954 2939.603740 -153.641138 301.928422 28.899455 2940.603939 -153.609354 301.974722 28.904955 2941.604138 -153.577553 302.021045 28.910453 2942.604337 -153.545735 302.067391 28.915949 2943.604535 -153.513900 302.113759 28.921444 2944.604734 -153.482048 302.160149 28.926938 2945.604933 -153.450180 302.206562 28.932429 2946.605132 -153.418295 302.252997 28.937920 2947.605331 -153.386392 302.299455 28.943408 2948.605530 -153.354473 302.345935 28.948895 2949.605729 -153.322537 302.392438 28.954381 2950.605927 -153.290583 302.438964 28.959864 2951.606126 -153.258613 302.485512 28.965346 2952.606325 -153.226626 302.532084 28.970827 2953.606524 -153.194621 302.578678 28.976305 3. SPECIFIC VULCAN ORBIT PARAMETERS May 23,1998 H.W. Kuehne This is the complete record of the new orbit determination for the C'EV orbit which is being updated to correct for an error in the time of the V point data and to correct all points for parallax. The starting point is the last C'EV orbit which has the C' point data adjusted from the C data to give an orbit period of 5030 years and all points in a plane but no parallax and the V point data off by one year. The first calculations are done on the old orbit to estimate corrections for parallax. This uses the new program VULPOS which was made from parts of VULRAD and EARTH. This program starts with Heliocentric coordinates with X axis along the J2000 vernal equinox direction. The dates used are the dates of the Vulcan data. It subtracts the Earth radius vector in the same coordinates from the Vulcan vector components and then transforms the result to ECI. Comparison of the RA and DC with and without parallax correction should give a good estimate for the correction of the Vulcan ECI coordinates. This method works only if parallax corrections are small so that the orbit doesn't change very much. The corrections have to be made in the coordinate system of the data points. This was confirmed by determining the corrections in both J2000 and TOD or B1950. The V point corrections weren't that much different because B1950 is close to J2000. The E point corrections were small because of the alignment of the bodies. The C' point corrections differed by a large amount. Old C'EV ORBIT PARAMETERS: AMAX(au) = 293.570466 ECC = 0.545367 IN(deg) = 49.057964 LNODE(deg) = 192.208313 ARGP(deg) = 255.766331 TPER(yrs) = -546.004860 TNODE(yrs) = 19.122383 TAPHEL(yrs) = 1968.998362 PERIOD(yrs) = 5030.006444 Radius at Ascending Node = 238.195641 a.u. T = 19.122383 Radius at Descending Node = 181.867962 a.u. T = 4157.4341 C' point no parallax TIME(yrs) TRUE ANOM. RT. ASC.(deg) DECLIN.(deg) TOD -411.997500 36.994860 98.555235 -21.042544 data point 98.560000 -21.040986 C' point with parallax TIME(yrs) TRUE ANOM. RT. ASC.(deg) DECLIN.(deg) TOD -411.997500 36.994860 98.523322 -21.316634 E point no parallax TIME(yrs) TRUE ANOM. RT. ASC.(deg) DECLIN.(deg) TOD 32.170900 105.407860 166.998965 6.532826 data point 167.000000 6.533333 E point with parallax TIME(yrs) TRUE ANOM. RT. ASC.(deg) DECLIN.(deg) TOD 32.170900 105.407860 167.007766 6.533157 V point no parallax TIME(yrs) TRUE ANOM. RT. ASC.(deg) DECLIN.(deg) B1950 1983.397300 180.361701 263.214161 23.943332 data point 263.214167 23.943333 V point with parallax TIME(yrs) TRUE ANOM. RT. ASC.(deg) DECLIN.(deg) B1950 1983.397300 180.361701 263.260559 24.030767 The above results confirm the transformations and orbit determination. Next we will start a new orbit determination using the following ECI data: The E point is assumed to have RA = 167. and DC = 6.533333 TOD The V point has RA = 263.214167 and DC = 23.943333 B1950 Starting point for C' will be RA = 98.56 and DC = -21.040986 Aphelion is assumed to be at 1968.9983 C' point is at J2000 - 2410.9968 or -411.9975 E point is at J2000 - 1966.8284 or 32.1709 B1950 is at J2000 - 50.0012 V point is at J2000 - 16.6040 or 1982.3953 Delta T from V point to Aphelion is -13.3970 Delta T from C' point to E point is 444.1684 Delta T from E point to V point is 1950.2244 The following parallax corrected data will be used. C' will be moved to get Period = 5030 and all points in a plane. C' RA = 98.591913 DC = -20.766896 E RA = 166.991199 DC = 6.533002 V RA = 263.167769 DC = 23.855898 The following is done by program VULCAN First Cut at New C' orbit 5/23/98 OBLIQUITY OF ECLIPTIC = 23.439000 ECI RAAN = 166.991199 ECI DECLINATION = 6.533002 TIME DELTA(YRS) FROM E PT TO J2000 = 1966.828400 ECI RAAN = 263.167769 ECI DECLINATION = 23.855898 TIME DELTA(YRS) FROM V PT TO J2000 = 50.001200 LONG & DEC OF 1ST PT = 192.970632 0.884094 LONG & DEC OF 2ND PT = 261.505511 47.077106 ORBIT NODAL LONG & INCLINATION ARE 192.201396 48.977101 Starting Values for C' ECI RAAN = 98.591913 ECI DECLINATION = -20.766896 TIME DELTA(YRS) FROM C' PT TO J2000 = 2410.996800 HELIOCENTRIC LONG & DEC OF C' PT ARE 134.854317 -43.873213 ECI RAAN = 166.991199 ECI DECLINATION = 6.533002 TIME DELTA(YRS) FROM E PT TO J2000 = 1966.828400 Final Values for C' ECI RAAN = 98.591913 ECI DECLINATION = -20.949424 HELIOCENTRIC LONG & DEC OF 1ST PT ARE 134.875254 -44.055118 ORBIT NODAL LONG & INCLINATION ARE 192.201396 48.977101 The following are notes on how to use program VULCAN to find declination of the third point. 1) First load the two good points (hit blank - then next hit 1) 2) After both points have been loaded hit 2 to continue 3) On the next prompt hit 1 to reload good Helio data 4) Second time on this prompt hit 0 and load third point and a good point. Order is important. In the present case C' point is the first point so we actually load it followed by the E point. 5) Hit 2 to continue 6) Hit 4 or 5 (in our case 4) to iterate on declination of in our case C' point The next is done by program VULECC First Orbit Determination LONG & DEC OF 1ST PT = 134.875254 -44.055118 LONG & DEC OF 2ND PT = 192.970632 0.884094 LONG & DEC OF 3RD PT = 261.505511 47.077106 DNU1(Deg) = 68.343061 DNU2 = 74.901715 DT1,DT2 = 444.168 1950.2240 Delta Time(yrs) from Third Point to Aphelion = -13.397 DNU0(Deg) = 37.091709 ECCENTRICITY = 0.545360 TIME RATIO = 0.227752 AREA RATIO = 0.227752 DT3 = 2636.400534 PERIOD = 5030.792534 MEAN ANOMALIES FROM TRUE ANOMALIES = 9.6189 41.4029 180.9587 MEAN ANOMALIES FROM DT AND TIME = 9.6189 41.4033 180.9599 Second Try ECI RAAN = 98.518976 ECI DECLINATION = -20.973248 HELIOCENTRIC LONG & DEC OF C' PT ARE 134.783511 -44.084471 ORBIT NODAL LONG & INCLINATION ARE 192.201396 48.977101 LONG & DEC OF 1ST PT = 134.783511 -44.084471 LONG & DEC OF 2ND PT = 192.970632 0.884094 LONG & DEC OF 3RD PT = 261.505511 47.077106 DNU1(Deg) = 68.415218 DNU2 = 74.901715 DT1,DT2 = 444.168 1950.224 Delta Time(yrs) from Third Point to Aphelion = -13.397 DNU0(Deg) = 37.019475 ECCENTRICITY = 0.545546 TIME RATIO = 0.227752 AREA RATIO = 0.227752 DT3 = 2635.602588 PERIOD = 5029.994588 MEAN ANOMALIES FROM TRUE ANOMALIES = 9.5919 41.3809 180.9588 MEAN ANOMALIES FROM DT AND TIME = 9.5919 41.3813 180.9601 Third Try ECI RAAN = 98.519500 ECI DECLINATION = -20.973077 TIME DELTA(YRS) FROM 1ST PT TO J2000 = 2410.996800 HELIOCENTRIC LONG & DEC OF C' PT ARE 134.784170 -44.084260 ORBIT NODAL LONG & INCLINATION ARE 192.201396 48.977101 LONG & DEC OF 1ST PT = 134.784170 -44.084260 LONG & DEC OF 2ND PT = 192.970632 0.884094 LONG & DEC OF 3RD PT = 261.505511 47.077106 DNU1(Deg) = 68.414700 DNU2 = 74.901715 DT1,DT2 = 444.168 1950.224 Delta Time(yrs) from Third Point to Aphelion = -13.397 DNU0(Deg) = 37.019994 ECCENTRICITY = 0.545545 TIME RATIO = 0.227752 AREA RATIO = 0.227752 DT3 = 2635.608329 PERIOD = 5030.000329 MEAN ANOMALIES FROM TRUE ANOMALIES = 9.5921 41.3810 180.9588 MEAN ANOMALIES FROM DT AND TIME = 9.5921 41.3814 180.9601 The orbit parameters are calculated by program LPOINTS. The data required is ECC,IN,LNODE, and the LN and DC of one of the points (which is best taken as the Vulcan point), the true anomaly of the point (which for the V point is DNU0 + DNU1 + DNU2), the time at this point, TDNU0, and the PERIOD. ORBIT PARAMETERS: AMAX(au) = 293.570228 ECC = 0.545545 IN(deg) = 48.977101 LNODE(deg) = 192.201396 ARGP(deg) = 255.737185 TPER(yrs) = -546.001852 TNODE(yrs) = 19.156452 TAPHEL(yrs) = 1968.998312 PERIOD(yrs) = 5030.000329 Radius at Ascending Node = 238.215651 a.u. T = 19.156452 Radius at Descending Node = 181.767423 a.u. T = 4157.809819 Now we can go to program VULPOS to calculate parallax corrected ECI coordinates to see how well we did. The parallax corrections are based on the old orbit. Round off errors could contribute a little to the differences observed below. TIME(yrs) TRUE ANOM. RT. ASC.(deg) DECLIN.(deg) For the V point 1982.395300 180.336409 263.215610 23.942771 B1950 The data is 263.214167 23.943333 For the E point 32.170900 105.433621 166.998994 6.532859 TOD The data is 167.000000 6.533333 For the C' point -411.997500 37.015445 98.482719 -21.248405 TOD When the parallax correction is not made the C' point has -411.997500 37.015445 98.514902 -20.974577 TOD The final ECI Data is 98.519500 -20.973248 The C' point does not appear to check quite as well as the other two points, but it's still not that bad. The other two points check with original data to about .001 deg. This is probably good enough. We can now proceed to generate to J2000 time histories for Vulcan from July 1,1998 through October 31,1998 and the same period in 1999. In the following time histories it is to be noted that time is measured from 01/01/0001 AD @ 0.0 hours UTC. Thus, the calendar time is approximately one year after the time shown. A year is taken as 365.2425 days. So days won't quite match the time points. Each time history is started at 0.0 UTC on July 1,199x. The following are propagations of Vulcan's estimated ECI coordinates. This propagation starts on July 1, 1998 @ 0.0z and continues to approximately November 1, 1998 @ 0.0z in approximately one day intervals. The interval is actually 1/365.2425 of a Julian year. TIME(yrs) TRUE ANOM. RT. ASC.(deg) DECLIN.(deg) J2000 1997.494810 180.715587 264.057641 23.993308 1997.497548 180.715656 264.055453 23.992975 1997.500286 180.715725 264.053275 23.992617 1997.503024 180.715793 264.051109 23.992233 1997.505762 180.715862 264.048954 23.991824 1997.508500 180.715931 264.046812 23.991388 1997.511237 180.716000 264.044682 23.990927 1997.513975 180.716068 264.042567 23.990441 1997.516713 180.716137 264.040466 23.989930 1997.519451 180.716206 264.038380 23.989393 1997.522189 180.716275 264.036309 23.988832 1997.524927 180.716343 264.034255 23.988246 1997.527665 180.716412 264.032217 23.987635 1997.530403 180.716481 264.030197 23.987000 1997.533141 180.716550 264.028195 23.986341 1997.535879 180.716618 264.026211 23.985657 1997.538616 180.716687 264.024246 23.984950 1997.541354 180.716756 264.022302 23.984219 1997.544092 180.716825 264.020377 23.983465 1997.546830 180.716893 264.018473 23.982687 1997.549568 180.716962 264.016591 23.981887 1997.552306 180.717031 264.014731 23.981064 1997.555044 180.717100 264.012893 23.980218 1997.557782 180.717168 264.011079 23.979350 1997.560520 180.717237 264.009288 23.978460 1997.563258 180.717306 264.007521 23.977548 1997.565995 180.717375 264.005779 23.976615 1997.568733 180.717444 264.004062 23.975660 1997.571471 180.717512 264.002371 23.974684 1997.574209 180.717581 264.000706 23.973688 1997.576947 180.717650 263.999068 23.972671 1997.579685 180.717719 263.997457 23.971634 1997.582423 180.717787 263.995874 23.970577 1997.585161 180.717856 263.994319 23.969501 1997.587899 180.717925 263.992792 23.968405 1997.590637 180.717994 263.991295 23.967290 1997.593374 180.718062 263.989828 23.966157 1997.596112 180.718131 263.988390 23.965006 1997.598850 180.718200 263.986983 23.963836 1997.601588 180.718269 263.985607 23.962649 1997.604326 180.718337 263.984262 23.961444 1997.607064 180.718406 263.982949 23.960223 1997.609802 180.718475 263.981668 23.958985 1997.612540 180.718544 263.980420 23.957730 1997.615278 180.718612 263.979204 23.956460 1997.618016 180.718681 263.978022 23.955174 1997.620753 180.718750 263.976874 23.953873 1997.623491 180.718819 263.975759 23.952557 1997.626229 180.718887 263.974679 23.951226 1997.628967 180.718956 263.973634 23.949882 1997.631705 180.719025 263.972624 23.948524 1997.634443 180.719094 263.971650 23.947152 1997.637181 180.719162 263.970711 23.945768 1997.639919 180.719231 263.969808 23.944371 1997.642657 180.719300 263.968942 23.942962 1997.645395 180.719369 263.968112 23.941541 1997.648132 180.719437 263.967319 23.940108 1997.650870 180.719506 263.966564 23.938665 1997.653608 180.719575 263.965846 23.937212 1997.656346 180.719644 263.965165 23.935748 1997.659084 180.719712 263.964523 23.934275 1997.661822 180.719781 263.963918 23.932792 1997.664560 180.719850 263.963353 23.931301 1997.667298 180.719919 263.962825 23.929801 1997.670036 180.719988 263.962337 23.928293 1997.672774 180.720056 263.961887 23.926778 1997.675511 180.720125 263.961477 23.925255 1997.678249 180.720194 263.961106 23.923726 1997.680987 180.720263 263.960774 23.922191 1997.683725 180.720331 263.960482 23.920650 1997.686463 180.720400 263.960230 23.919103 1997.689201 180.720469 263.960017 23.917552 1997.691939 180.720538 263.959845 23.915996 1997.694677 180.720606 263.959713 23.914437 1997.697415 180.720675 263.959620 23.912874 1997.700153 180.720744 263.959569 23.911307 1997.702890 180.720813 263.959557 23.909739 1997.705628 180.720881 263.959586 23.908168 1997.708366 180.720950 263.959655 23.906595 1997.711104 180.721019 263.959764 23.905021 1997.713842 180.721088 263.959914 23.903447 1997.716580 180.721156 263.960105 23.901872 1997.719318 180.721225 263.960335 23.900297 1997.722056 180.721294 263.960607 23.898723 1997.724794 180.721363 263.960918 23.897150 1997.727532 180.721431 263.961270 23.895578 1997.730269 180.721500 263.961663 23.894009 1997.733007 180.721569 263.962095 23.892442 1997.735745 180.721638 263.962568 23.890878 1997.738483 180.721706 263.963081 23.889317 1997.741221 180.721775 263.963633 23.887761 1997.743959 180.721844 263.964226 23.886208 1997.746697 180.721913 263.964858 23.884661 1997.749435 180.721981 263.965530 23.883119 1997.752173 180.722050 263.966242 23.881582 1997.754911 180.722119 263.966992 23.880052 1997.757648 180.722188 263.967782 23.878528 1997.760386 180.722256 263.968611 23.877012 1997.763124 180.722325 263.969479 23.875503 1997.765862 180.722394 263.970385 23.874002 1997.768600 180.722463 263.971329 23.872509 1997.771338 180.722532 263.972312 23.871026 1997.774076 180.722600 263.973332 23.869551 1997.776814 180.722669 263.974390 23.868087 1997.779552 180.722738 263.975486 23.866633 1997.782290 180.722807 263.976618 23.865190 1997.785027 180.722875 263.977787 23.863758 1997.787765 180.722944 263.978993 23.862337 1997.790503 180.723013 263.980235 23.860929 1997.793241 180.723082 263.981513 23.859533 1997.795979 180.723150 263.982826 23.858150 1997.798717 180.723219 263.984175 23.856780 1997.801455 180.723288 263.985558 23.855424 1997.804193 180.723357 263.986976 23.854082 1997.806931 180.723425 263.988428 23.852755 1997.809669 180.723494 263.989913 23.851442 1997.812406 180.723563 263.991432 23.850145 1997.815144 180.723632 263.992984 23.848864 1997.817882 180.723700 263.994568 23.847599 1997.820620 180.723769 263.996184 23.846351 1997.823358 180.723838 263.997832 23.845120 1997.826096 180.723907 263.999511 23.843906 1997.828834 180.723975 264.001221 23.842710 1997.831572 180.724044 264.002961 23.841532 This propagation starts on July 1, 1999 @ 0.0z and runs until about November 1, 1999. TIME(yrs) TRUE ANOM. RT. ASC.(deg) DECLIN.(deg) J2000 1998.494150 180.740684 264.085166 23.998457 1998.496888 180.740752 264.082974 23.998132 1998.499626 180.740821 264.080793 23.997781 1998.502364 180.740890 264.078624 23.997403 1998.505102 180.740959 264.076465 23.997001 1998.507840 180.741027 264.074319 23.996572 1998.510577 180.741096 264.072186 23.996118 1998.513315 180.741165 264.070067 23.995639 1998.516053 180.741234 264.067962 23.995134 1998.518791 180.741302 264.065871 23.994604 1998.521529 180.741371 264.063796 23.994049 1998.524267 180.741440 264.061737 23.993470 1998.527005 180.741509 264.059694 23.992866 1998.529743 180.741577 264.057669 23.992237 1998.532481 180.741646 264.055662 23.991584 1998.535219 180.741715 264.053672 23.990907 1998.537956 180.741784 264.051702 23.990206 1998.540694 180.741852 264.049752 23.989482 1998.543432 180.741921 264.047821 23.988734 1998.546170 180.741990 264.045912 23.987962 1998.548908 180.742059 264.044023 23.987168 1998.551646 180.742127 264.042157 23.986351 1998.554384 180.742196 264.040313 23.985511 1998.557122 180.742265 264.038492 23.984649 1998.559860 180.742334 264.036694 23.983764 1998.562598 180.742402 264.034920 23.982858 1998.565335 180.742471 264.033171 23.981931 1998.568073 180.742540 264.031447 23.980982 1998.570811 180.742609 264.029748 23.980011 1998.573549 180.742678 264.028076 23.979020 1998.576287 180.742746 264.026430 23.978009 1998.579025 180.742815 264.024812 23.976977 1998.581763 180.742884 264.023220 23.975926 1998.584501 180.742953 264.021657 23.974854 1998.587239 180.743021 264.020123 23.973764 1998.589977 180.743090 264.018617 23.972654 1998.592714 180.743159 264.017141 23.971526 1998.595452 180.743228 264.015695 23.970379 1998.598190 180.743296 264.014279 23.969214 1998.600928 180.743365 264.012894 23.968031 1998.603666 180.743434 264.011541 23.966831 1998.606404 180.743503 264.010219 23.965614 1998.609142 180.743571 264.008929 23.964381 1998.611880 180.743640 264.007671 23.963130 1998.614618 180.743709 264.006446 23.961864 1998.617356 180.743778 264.005255 23.960582 1998.620093 180.743846 264.004097 23.959285 1998.622831 180.743915 264.002973 23.957973 1998.625569 180.743984 264.001883 23.956646 1998.628307 180.744053 264.000828 23.955305 1998.631045 180.744121 263.999808 23.953950 1998.633783 180.744190 263.998824 23.952582 1998.636521 180.744259 263.997875 23.951201 1998.639259 180.744328 263.996962 23.949807 1998.641997 180.744396 263.996085 23.948401 1998.644735 180.744465 263.995245 23.946983 1998.647472 180.744534 263.994442 23.945554 1998.650210 180.744603 263.993676 23.944114 1998.652948 180.744671 263.992947 23.942663 1998.655686 180.744740 263.992256 23.941201 1998.658424 180.744809 263.991603 23.939730 1998.661162 180.744878 263.990988 23.938250 1998.663900 180.744947 263.990411 23.936761 1998.666638 180.745015 263.989873 23.935263 1998.669376 180.745084 263.989373 23.933757 1998.672114 180.745153 263.988913 23.932244 1998.674851 180.745222 263.988492 23.930723 1998.677589 180.745290 263.988109 23.929195 1998.680327 180.745359 263.987767 23.927662 1998.683065 180.745428 263.987464 23.926122 1998.685803 180.745497 263.987200 23.924577 1998.688541 180.745565 263.986977 23.923027 1998.691279 180.745634 263.986793 23.921472 1998.694017 180.745703 263.986649 23.919913 1998.696755 180.745772 263.986546 23.918351 1998.699493 180.745840 263.986483 23.916785 1998.702230 180.745909 263.986460 23.915217 1998.704968 180.745978 263.986477 23.913646 1998.707706 180.746047 263.986535 23.912074 1998.710444 180.746115 263.986633 23.910500 1998.713182 180.746184 263.986772 23.908925 1998.715920 180.746253 263.986951 23.907350 1998.718658 180.746322 263.987170 23.905775 1998.721396 180.746390 263.987430 23.904201 1998.724134 180.746459 263.987731 23.902627 1998.726872 180.746528 263.988071 23.901055 1998.729609 180.746597 263.988452 23.899485 1998.732347 180.746665 263.988874 23.897917 1998.735085 180.746734 263.989335 23.896352 1998.737823 180.746803 263.989837 23.894791 1998.740561 180.746872 263.990378 23.893233 1998.743299 180.746940 263.990960 23.891679 1998.746037 180.747009 263.991581 23.890130 1998.748775 180.747078 263.992242 23.888586 1998.751513 180.747147 263.992943 23.887048 1998.754251 180.747216 263.993682 23.885515 1998.756988 180.747284 263.994461 23.883990 1998.759726 180.747353 263.995279 23.882471 1998.762464 180.747422 263.996136 23.880960 1998.765202 180.747491 263.997032 23.879456 1998.767940 180.747559 263.997965 23.877962 1998.770678 180.747628 263.998937 23.876475 1998.773416 180.747697 263.999947 23.874998 1998.776154 180.747766 264.000995 23.873531 1998.778892 180.747834 264.002080 23.872074 1998.781630 180.747903 264.003202 23.870628 1998.784367 180.747972 264.004361 23.869193 1998.787105 180.748041 264.005557 23.867769 1998.789843 180.748109 264.006789 23.866357 1998.792581 180.748178 264.008056 23.864957 1998.795319 180.748247 264.009360 23.863570 1998.798057 180.748316 264.010699 23.862197 1998.800795 180.748384 264.012072 23.860837 1998.803533 180.748453 264.013481 23.859491 1998.806271 180.748522 264.014923 23.858160 1998.809009 180.748591 264.016399 23.856843 1998.811746 180.748659 264.017909 23.855542 1998.814484 180.748728 264.019452 23.854256 1998.817222 180.748797 264.021027 23.852987 1998.819960 180.748866 264.022635 23.851734 1998.822698 180.748934 264.024274 23.850498 1998.825436 180.749003 264.025944 23.849279 1998.828174 180.749072 264.027646 23.848078 1998.830912 180.749141 264.029377 23.846895 The following propagation starts at the esmimated time of the Vulcan IRAS point May 26,1983 @ 0.0 UTC and gives Vulcan's position for one year (365.2425 days) increments. Note coordinates are ECI J2000 parallax corrected. TIME(yrs) TRUE ANOM. RT. ASC.(deg) DECLIN.(deg) J2000 1982.395300 180.336409 263.733995 23.911197 1983.395300 180.361520 263.760958 23.916313 1984.395300 180.386631 263.787922 23.921424 1985.395300 180.411743 263.814889 23.926530 1986.395300 180.436854 263.841859 23.931632 1987.395300 180.461966 263.868830 23.936729 1988.395300 180.487077 263.895804 23.941821 1989.395300 180.512189 263.922780 23.946909 1990.395300 180.537301 263.949758 23.951992 1991.395300 180.562413 263.976738 23.957070 1992.395300 180.587525 264.003721 23.962144 1993.395300 180.612638 264.030706 23.967213 1994.395300 180.637750 264.057693 23.972278 1995.395300 180.662863 264.084683 23.977337 1996.395300 180.687975 264.111674 23.982393 1997.395300 180.713088 264.138668 23.987443 1998.395300 180.738201 264.165665 23.992489 1999.395300 180.763314 264.192663 23.997530 2000.395300 180.788428 264.219664 24.002566 This is the same as the last propagation but coordinate system is ECI B1950. TIME(yrs) TRUE ANOM. RT. ASC.(deg) DECLIN.(deg) B1950 1982.395300 180.336409 263.215610 23.942771 1983.395300 180.361520 263.242608 23.947757 1984.395300 180.386631 263.269609 23.952738 1985.395300 180.411743 263.296611 23.957714 1986.395300 180.436854 263.323616 23.962686 1987.395300 180.461966 263.350623 23.967653 1988.395300 180.487077 263.377632 23.972615 1989.395300 180.512189 263.404643 23.977573 1990.395300 180.537301 263.431657 23.982526 1991.395300 180.562413 263.458673 23.987474 1992.395300 180.587525 263.485691 23.992418 1993.395300 180.612638 263.512711 23.997357 1994.395300 180.637750 263.539733 24.002291 1995.395300 180.662863 263.566758 24.007220 1996.395300 180.687975 263.593785 24.012145 1997.395300 180.713088 263.620814 24.017066 1998.395300 180.738201 263.647845 24.021981 1999.395300 180.763314 263.674878 24.026892 2000.395300 180.788428 263.701914 24.031798 Vulcan's Position in Heliocentric coordinates (J2000) TIME(yrs) TRUE ANOM. RADIUS(au) LONG(deg) DECLIN(deg) 1982.395300 180.336409 453.716610 261.505511 47.077106 1983.395300 180.361520 453.715156 261.541054 47.083796 1984.395300 180.386631 453.713597 261.576606 47.090475 1985.395300 180.411743 453.711934 261.612167 47.097142 1986.395300 180.436854 453.710166 261.647737 47.103799 1987.395300 180.461966 453.708294 261.683316 47.110445 1988.395300 180.487077 453.706317 261.718904 47.117080 1989.395300 180.512189 453.704236 261.754501 47.123704 1990.395300 180.537301 453.702049 261.790107 47.130317 1991.395300 180.562413 453.699758 261.825722 47.136919 1992.395300 180.587525 453.697363 261.861347 47.143510 1993.395300 180.612638 453.694863 261.896980 47.150090 1994.395300 180.637750 453.692258 261.932622 47.156659 1995.395300 180.662863 453.689549 261.968273 47.163217 1996.395300 180.687975 453.686735 262.003933 47.169763 1997.395300 180.713088 453.683816 262.039603 47.176299 1998.395300 180.738201 453.680793 262.075281 47.182824 1999.395300 180.763314 453.677665 262.110968 47.189338 2000.395300 180.788428 453.674433 262.146664 47.195840