OAA computing section circular NK 646 55P/Tempel-Tuttle
The following improved orbital elements, by S. Nakano, are from 60 observations 1366-1997, including planetary perturbations by Mercury to Neptune and three minor planets, Ceres, Pallas, Vesta, and non-gravitational effect of style II. The mean residual is +/- 4.3 arc seconds. Epoch = 1998 Mar. 8.0 TT T = 1998 Feb. 28.06264 +/- 0.00223 (m.e.) TT Peri. = 172.48819 +/- 0.00173 Node = 235.25369 +/- 0.00182 (2000.0) Inc. = 162.48475 +/- 0.00036 q = 0.9766280 +/- 0.0000148 AU e = 0.9054856 +/- 0.0000033 a = 10.3331142 +/- 0.0000383 AU n' = 0.02967271 +/- 0.00000016 P = 33.216 +/- 0.0001847 years A1 = +0.508 +/- 0.065 A2 = +0.00883 +/- 0.00002 [ T = 901 Sept.26.57946 TT Epoch = 901 Sept.10.0 TT Peri. = 160.59137 e = 0.9084406 Node = 219.87073 (2000.0) a = 10.4502623 AU Inc. = 162.39014 n'= 0.02917516 q = 0.9568193 AU P = 33.782 years ] [ T = 935 Jan. 23.70308 TT Epoch = 935 Feb. 4.0 TT Peri. = 160.63319 e = 0.9070411 Node = 220.00632 (2000.0) a = 10.3634455 AU Inc. = 162.37701 n'= 0.02954254 q = 0.9633747 AU P = 33.362 years ] [ T = 968 Mar. 14.58939 TT Epoch = 968 Mar. 2.0 TT Peri. = 160.47623 e = 0.9066786 Node = 220.08157 (2000.0) a = 10.3426719 AU Inc. = 162.38861 n'= 0.02963159 q = 0.9651929 AU P = 33.262 years ] [ T = 1001 June 8.64487 TT Epoch = 1001 June 17.0 TT Peri. = 160.45621 e = 0.9078653 Node = 220.25616 (2000.0) a = 10.4125194 AU Inc. = 162.31371 n'= 0.02933394 q = 0.9593546 AU P = 33.600 years ] [ T = 1035 Jan. 7.12586 TT Epoch = 1034 Dec. 21.0 TT Peri. = 160.60458 e = 0.9099787 Node = 220.39724 (2000.0) a = 10.5386223 AU Inc. = 162.30139 n'= 0.02880901 q = 0.9487008 AU P = 34.212 years ] [ T = 1069 Mar. 4.95622 TT Epoch = 1069 Feb. 20.0 TT Peri. = 161.83328 e = 0.9085228 Node = 221.81648 (2000.0) a = 10.4518527 AU Inc. = 162.46878 n'= 0.02916850 q = 0.9561057 AU P = 33.790 years ] [ T = 1102 June 26.56325 TT Epoch = 1102 June 7.0 TT Peri. = 162.56176 e = 0.9044861 Node = 222.63027 (2000.0) a = 10.2882130 AU Inc. = 162.56317 n'= 0.02986718 q = 0.9826675 AU P = 33.000 years ] [ T = 1135 Mar. 2.66260 TT Epoch = 1135 Mar. 6.0 TT Peri. = 162.70146 e = 0.9039858 Node = 222.90812 (2000.0) a = 10.2520712 AU Inc. = 162.45087 n'= 0.03002525 q = 0.9843448 AU P = 32.826 years ] [ T = 1167 Nov. 27.76856 TT Epoch = 1167 Dec. 3.0 TT Peri. = 162.69625 e = 0.9052214 Node = 223.09652 (2000.0) a = 10.3123747 AU Inc. = 162.32978 n'= 0.02976227 q = 0.9773923 AU P = 33.116 years ] [ T = 1201 Jan. 11.42759 TT Epoch = 1200 Dec. 29.0 TT Peri. = 162.92322 e = 0.9077849 Node = 223.30117 (2000.0) a = 10.4505576 AU Inc. = 162.31917 n'= 0.02917393 q = 0.9636997 AU P = 33.784 years ] [ T = 1234 Oct. 25.38203 TT Epoch = 1234 Nov. 1.0 TT Peri. = 163.86456 e = 0.9070226 Node = 224.42911 (2000.0) a = 10.4212044 AU Inc. = 162.16312 n'= 0.02929727 q = 0.9689368 AU P = 33.642 years ] [ T = 1268 Jan. 2.68714 TT Epoch = 1268 Jan. 7.0 TT Peri. = 164.11045 e = 0.9052192 Node = 224.72008 (2000.0) a = 10.3261914 AU Inc. = 162.13032 n'= 0.02970256 q = 0.9787248 AU P = 33.183 years ] [ T = 1300 Nov. 13.39615 TT Epoch = 1300 Nov. 14.0 TT Peri. = 163.92945 e = 0.9041703 Node = 224.74139 (2000.0) a = 10.2765738 AU Inc. = 162.16572 n'= 0.02991793 q = 0.9848008 AU P = 32.944 years ] [ T = 1333 Sept.10.80976 TT Epoch = 1333 Sept.22.0 TT Peri. = 163.91498 e = 0.9048256 Node = 224.90786 (2000.0) a = 10.3246829 AU Inc. = 162.05857 n'= 0.02970907 q = 0.9826453 AU P = 33.175 years ] T = 1366 Oct. 18.66850 TT Epoch = 1366 Oct. 19.0 TT Peri. = 164.50769 e = 0.9063431 Node = 225.42359 (2000.0) a = 10.4247477 AU Inc. = 162.23701 n'= 0.02928234 q = 0.9763497 AU P = 33.659 years [ T = 1400 May 21.84634 TT Epoch = 1400 June 2.0 TT Peri. = 165.79873 e = 0.9060176 Node = 226.78254 (2000.0) a = 10.4157910 AU Inc. = 161.94645 n'= 0.02932012 q = 0.9789006 AU P = 33.615 years ] [ T = 1433 Aug. 2.19189 TT Epoch = 1433 Aug. 8.0 TT Peri. = 165.92011 e = 0.9047234 Node = 226.96091 (2000.0) a = 10.3399908 AU Inc. = 161.89665 n'= 0.02964312 q = 0.9851594 AU P = 33.249 years ] [ T = 1466 Aug. 3.68902 TT Epoch = 1466 July 26.0 TT Peri. = 165.77326 e = 0.9043382 Node = 227.03178 (2000.0) a = 10.3170656 AU Inc. = 161.89689 n'= 0.02974197 q = 0.9869486 AU P = 33.139 years ] [ T = 1499 Sept. 9.53916 TT Epoch = 1499 Aug. 22.0 TT Peri. = 165.80414 e = 0.9055112 Node = 227.25614 (2000.0) a = 10.3871536 AU Inc. = 161.74148 n'= 0.02944145 q = 0.9814694 AU P = 33.477 years ] [ T = 1533 Feb. 27.89206 TT Epoch = 1533 Feb. 24.0 TT Peri. = 166.05976 e = 0.9077630 Node = 227.49265 (2000.0) a = 10.5125599 AU Inc. = 161.79192 n'= 0.02891621 q = 0.9696467 AU P = 34.085 years ] [ T = 1567 Mar. 15.37972 TT Epoch = 1567 Mar. 18.0 TT Peri. = 167.05053 e = 0.9067094 Node = 228.64480 (2000.0) a = 10.4589278 AU Inc. = 161.88733 n'= 0.02913891 q = 0.9757202 AU P = 33.824 years ] [ T = 1600 July 21.21714 TT Epoch = 1600 July 12.0 TT Peri. = 167.41213 e = 0.9044542 Node = 229.01762 (2000.0) a = 10.3519432 AU Inc. = 161.83603 n'= 0.02959179 q = 0.9890846 AU P = 33.307 years ] [ T = 1633 June 21.02027 TT Epoch = 1633 June 29.0 TT Peri. = 168.65512 e = 0.9045284 Node = 230.21724 (2000.0) a = 10.2960816 AU Inc. = 162.86547 n'= 0.02983294 q = 0.9829835 AU P = 33.038 years ] [ T = 1666 June 5.83134 TT Epoch = 1666 June 16.0 TT Peri. = 168.80421 e = 0.9057638 Node = 230.55651 (2000.0) a = 10.3588958 AU Inc. = 162.60427 n'= 0.02956200 q = 0.9761828 AU P = 33.340 years ] T = 1699 Oct. 10.81475 T[ T Epoch = 1699 Oct. 1.0 TT Peri. = 168.91527 e = 0.9080180 Node = 230.69897 (2000.0) a = 10.4817543 AU Inc. = 162.54950 n'= 0.02904378 q = 0.9641325 AU P = 33.935 years [ T = 1733 Oct. 1.39648 TT Epoch = 1733 Sept.13.0 TT Peri. = 170.32372 e = 0.9079889 Node = 232.22220 (2000.0) a = 10.4584913 AU Inc. = 162.95240 n'= 0.02914074 q = 0.9622974 AU P = 33.822 years ] [ T = 1767 Feb. 23.99693 TT Epoch = 1767 Feb. 7.0 TT Peri. = 171.00048 e = 0.9062714 Node = 232.90817 (2000.0) a = 10.3699313 AU Inc. = 162.82358 n'= 0.02951483 q = 0.9719590 AU P = 33.394 years ] [ T = 1800 Mar. 2.91413 TT Epoch = 1800 Mar. 6.0 TT Peri. = 170.90083 e = 0.9048091 Node = 232.95875 (2000.0) a = 10.2948963 AU Inc. = 162.86363 n'= 0.02983810 q = 0.9799802 AU P = 33.032 years ] [ T = 1833 Jan. 2.92497 TT Epoch = 1833 Jan. 12.0 TT Peri. = 170.82488 e = 0.9047387 Node = 233.11311 (2000.0) a = 10.3058980 AU Inc. = 162.69941 n'= 0.02979033 q = 0.9817531 AU P = 33.085 years ] T = 1866 Jan. 11.62735 TT Epoch = 1865 Dec. 30.0 TT Peri. = 170.90484 e = 0.9060496 Node = 233.24765 (2000.0) a = 10.3945812 AU Inc. = 162.68913 n'= 0.02940990 q = 0.9765754 AU P = 33.513 years [ T = 1899 July 2.01443 TT Epoch = 1899 July 5.0 TT Peri. = 172.20767 e = 0.9063405 Node = 234.58887 (2000.0) a = 10.3845807 AU Inc. = 162.85144 n'= 0.02945240 q = 0.9726148 AU P = 33.464 years ] [ T = 1932 July 12.72281 TT Epoch = 1932 Aug. 1.0 TT Peri. = 172.68587 e = 0.9050781 Node = 235.05644 (2000.0) a = 10.3096176 AU Inc. = 162.70656 n'= 0.02977421 q = 0.9786082 AU P = 33.103 years ] T = 1965 Apr. 30.00346 TT Epoch = 1965 Apr. 30.0 TT Peri. = 172.55868 e = 0.9044191 Node = 235.11040 (2000.0) a = 10.2705239 AU Inc. = 162.70516 n'= 0.02994437 q = 0.9816661 AU P = 32.915 years The predicted orbit for the 2031 return is as follows: T = 2031 May 20.91321 TT Epoch = 2031 May 14.0 TT Peri. = 172.85781 e = 0.9077591 Node = 235.60582 (2000.0) a = 10.4553540 AU Inc. = 162.57368 n'= 0.02915385 q = 0.9644116 AU P = 33.807 years The following residuals in seconds of arc are from the above orbital elements: 1366/ 660104 520 7.0- 5.4+ 660115 545(12.8+ 6.4+) 661025 500 0.75+ 1.84+ X 660104 534 3.0- 1.8- 660115 013 4.8- 7.1- 661026 500 0.03+ 0.93- X 660104 013 4.2+ 2.3+ 660116 066 1.5- 5.7- 661027 500 0.01- 0.96- X 660104 534 6.7- 1.3+ 660116 066 6.1+ 3.8+ 661028 500 0.67+ 0.41- X 660105 548 6.9- 5.7+ 660116 055 5.0+ 2.8+ 661029 500 0.11+ 0.24- X 660105 035 (0.5+ 12.3+) 660117 787 4.4- 5.6- 1699/ 660105 055 0.6- 3.2- 660117 066 3.7+ 4.6- 991026 500 1.09+ 1.48+ Y 660105 520 (9.4- 1.2+) 660118 531(11.6- 6.0-) 1865/ 660105 534(10.9- 2.5+) 660119 787 (0.6+ 17.7+) 651221 545(0.04- 0.02+) 660106 787 (9.2- 3.2-) 660119 066 0.3+ 6.9+ 651221 545(0.03- 0.02+) 660106 547 (1.7- 15.7+) 660119 055 4.3- 2.1- 651221 545(92.1- 38.4+) 660106 534 2.6- 4.3- 660119 531(34.3+ 2.4-)Y 651222 545(58.7- 42.2+) 660106 787 3.1- 8.9+ 660120 066 6.3+ 6.1- 651222 545(0.02- 0.03+) 660107 787(13.5- 3.0+) 660120 055 0.3- 2.8+ 651222 545(62.7- 72.7+) 660107 055 (7.7+ 9.7+) 660120 055 (2.7+ 10.2+) 651222 055(73.6- 22.1+) 660107 531 (0.2+ 18.5-) 660120 531(22.0- 5.0-) 651222 534(61.8- 34.1+) 660107 531 (4.1- 23.9-) 660121 066(10.0+ 99.2-)Y 651223 534(55.6- 20.5+) 660107 531 (8.8- 25.9-) 660121 066 (6.5+ 22.7+)Y 651223 534(43.9- 26.3+) 660107 058 5.5+ 1.7+ 660121 534 0.3+ 3.1- 651225 534(27.8- 15.1+) 660107 055 7.5+ 5.0- 660122 066 0.7+ 0.6+ 651225 548(31.2- 9.4+) 660107 545 0.1- 3.5+ 660122 055 (8.5+ 10.5+) 651226 548(27.3- 7.2+) 660107 013 1.0- 8.0- 660123 066 (8.1+ 9.6-) 651226 055(22.0- 10.3+) 660108 055 3.3+ 4.2- 660123 534 (4.7- 14.9-) 651226 548(25.6- 29.8+) 660109 787(15.6- 5.2-) 660124 035(20.7+ 1.0+) 651226 534(21.1- 3.7+) 660109 058 3.7- 1.5- 660128 534 (5.4- 13.6+) 651226 055(20.1- 16.1+) 660109 055 0.4+ 0.8- 660201 055(12.3+ 31.7-) 651227 055(11.3- 22.4+) 660109 520(10.6- 3.8+) 660203 066 5.4+ 4.1+ 651229 548 5.6- 7.1+ 660110 787(12.4- 8.3+) 660208 066 1.6+ 8.3+ 651229 548(14.6- 8.3+) 660110 058 7.3+ 2.3- 660208 066 4.6+ 4.2+ 660102 035 (3.8+ 10.9-) 660110 058 4.5+ 1.6+ 660208 066(12.6- 16.7-) 660102 548 (2.0- 12.5+)Y 660110 545 (2.9- 10.1-) 1965/ 660102 547 7.4- 6.5+ 660110 545 3.4+ 8.4- 650630 074 0.1+ 1.0+ 660102 520(10.2- 6.4+) 660111 058 2.8- 4.9+ 650630 675 (5.7+ 2.7+) 660102 055 (1.0+ 10.9-) 660111 055 (2.8+ 15.2+) 650701 074 0.8- 1.9- 660102 548 3.6- 6.1- 660112 534 2.6- 1.1- 650726 675 0.3+ 1.7+ 660103 531(11.2- 9.8-) 660113 545 5.1- 5.1+ 1997/ 660103 013 6.6- 6.6+ 660114 787(14.4- 17.0-) 970304 568 1.3- 1.0+ 660104 548 0.6+ 3.2- 660114 787(11.1- 11.0-) 970304 568 1.1+ 0.2- 660104 055 2.9+ 3.8- 660114 066 8.3+ 3.6- 970304 568 0.2- 0.1+ 660104 055 1.0- 8.0- 660115 789 3.6+ 0.7+ 970304 568 0.4- 0.3+ 660104 520 (9.3- 1.7+) 660115 066 1.0+ 0.9+ 970307 809 2.1- 0.1- ( ) -------- Rejected Obs.
Director, Computing Section Syuichi Nakano 1997 Mar. 15