Table 1. Keplerian elements and their rates, with respect to the mean ecliptic and equinox of J2000, valid for the time-interval 1950 AD - 2100 AD. a e I L long.peri. long.node. AU, AU/Cy rad, rad/Cy deg, deg/Cy deg, deg/Cy deg, deg/Cy deg, deg/Cy ----------------------------------------------------------------------------------------------------------- Mercury 0.38709834 0.20563145 7.00497337 250.20584200 77.45612862 48.33090374 -0.00000012 0.00002064 -0.00595048 149472.86906203 0.15872475 -0.12545667 Venus 0.72333003 0.00677027 3.39465617 180.88890516 131.57465337 76.68013102 -0.00000041 -0.00004828 -0.00088371 58518.08271364 0.00250939 -0.27819589 Earth 1.00000083 0.01670878 0.00391158 99.99024795 102.93761765 0.0 -0.00000019 -0.00004258 0.00625231 35999.32982214 0.32196961 0.0 Mars 1.52368035 0.09339756 1.84971598 355.15709035 -23.93741852 49.55837041 -0.00000721 0.00009724 -0.00816699 19140.51276323 0.44366935 -0.29553424 Neptune 30.11304852 0.00883430 1.77004373 308.36875275 41.76943517 131.78602770 0.00912547 0.00156382 0.00024682 217.86313735 9.57600208 -0.00779385 Jupiter 5.20282225 0.04841933 1.30421749 33.39095649 14.66603314 100.47813572 0.00008434 -0.00005589 -0.00222861 3034.89053374 0.08762875 0.19810166 Uranus 19.21701393 0.04748298 0.77261714 313.93828067 171.03070522 74.01023482 -0.00320139 -0.00051673 -0.00179872 427.34893516 0.43038311 -0.01366128 Saturn 9.55103623 0.05406252 2.48670531 52.80828830 92.42841463 113.65893171 0.00265598 0.00052306 0.00276274 1219.79216974 -0.06859082 -0.28724503 Ceres 2.76715375 0.07763688 10.59633614 159.17614909 153.10652944 80.55572426 -0.00013390 -0.00010178 -0.02047996 7820.67971647 1.77417151 -1.50627967 Vesta 2.36151127 0.08934022 7.13714168 235.13577343 -105.75216828 103.96152288 -0.00000563 0.00031208 0.00561562 9919.94579522 1.24794657 -0.89940526 Pallas 2.77095874 0.23252281 34.84798804 116.22072878 123.36716137 173.21193323 0.00081809 -0.00581704 0.12236781 7804.58005771 -0.21351679 -1.01191658 Iris 2.38611324 0.23018464 5.51665226 98.13287418 44.86392591 259.87533755 0.00018228 -0.00090313 0.03139355 9766.92351950 0.94671804 -1.43519909 Juno 2.66923067 0.25716329 12.98207202 297.99382189 57.83818066 170.23110770 0.00020267 0.00030929 -0.02108790 8254.96746290 0.93586491 -1.88937803 Hebe 2.42526733 0.20272623 14.76109495 63.81107868 17.86806432 138.94564457 0.00002473 0.00007269 -0.01279403 9531.36121273 0.70138741 -1.18385396 Eros 1.45817688 0.22282543 10.82990478 180.46152115 123.04898183 304.41834084 -0.00003565 -0.00010117 -0.00598760 20444.61762831 0.48029647 -0.54985831 Melpomene 2.29565047 0.21815983 10.13008500 86.42952994 18.30452360 150.60258642 0.00000189 0.00031818 -0.00610155 10349.88880607 0.82044194 -1.01100444 Pluto 39.56239552 0.24987306 17.14028904 239.12172058 -135.89920307 110.30689371 -0.04203972 -0.00184232 0.00007627 144.67315634 0.26000367 0.00513511 Haumea 43.14382962 0.19422864 28.20560943 191.46067015 1.86905237 121.94868948 -0.00353331 0.00098571 0.00558405 127.03565174 -0.35772919 -0.00933968 Quaoar 43.39287791 0.03696529 7.99104915 243.91317517 -15.03048110 188.91547523 -0.00190551 0.00165450 -0.00008640 125.94485788 2.00458023 -0.00399065 Makemake 45.54626186 0.15975672 29.00268706 155.45022015 15.73144641 79.44328563 -0.02043011 -0.00033791 0.00643183 117.11867089 -0.54139013 -0.00899297 Eris 67.88075382 0.43760992 43.99141787 21.47121430 -172.82511407 35.97712171 0.03262774 0.00025602 -0.00275986 64.36941538 -0.13859606 -0.00033779 Sedna 515.55951492 0.85191856 11.92856158 93.55125325 95.64386024 144.40153891 5.86290421 0.00162325 -0.00173127 3.08650451 0.09386683 0.00683566