OAA computing section circular NK 1225 35P/Herschel-Rigollet
The following improved orbital elements, by S. Nakano, are from 71 observations 1788-1940. Perturbations by Mercury to Neptune and three minor planets, Ceres, Pallas and Vesta, were taken into account. The weighting mean residual is +/- 2.33 arc seconds. Epoch = 1939 Aug. 5.0 TT T = 1939 Aug. 9.46342 +/- 0.00016 (m.e.) TT Peri. = 29.29701 +/- 0.00024 Node = 355.98031 +/- 0.00029 (2000.0) Inc. = 64.20688 +/- 0.00018 q = 0.7484938 +/- 0.0000017 AU e = 0.9740587 +/- 0.0000001 a = 28.8533790 +/- 0.0000031 AU n' = 0.00635930 +/- 0.00000000 P = 154.987 +/- 0.0000253 years [ T = -15 June 30.65606 TT Epoch = -15 July 1.0 TT Peri. = 29.86024 e = 0.9771128 Node = 356.36802 (2000.0) a = 33.4721952 AU Inc. = 63.33986 n'= 0.00508953 q = 0.7660865 AU P = 193.654 years ] [ T = 165 June 23.37698 TT Epoch = 165 June 6.0 TT Peri. = 29.75030 e = 0.9762836 Node = 356.22705 (2000.0) a = 32.0636333 AU Inc. = 63.53448 n'= 0.00542856 q = 0.7604354 AU P = 181.560 years ] [ T = 348 Jan. 17.90545 TT Epoch = 348 Feb. 6.0 TT Peri. = 29.77304 e = 0.9767971 Node = 356.10270 (2000.0) a = 33.0889644 AU Inc. = 63.29517 n'= 0.00517821 q = 0.7677593 AU P = 190.338 years ] [ T = 539 Sept.23.35760 TT Epoch = 539 Oct. 1.0 TT Peri. = 29.70632 e = 0.9773600 Node = 356.09957 (2000.0) a = 34.1142656 AU Inc. = 63.11253 n'= 0.00494652 q = 0.7723480 AU P = 199.253 years ] [ T = 736 May 18.53106 TT Epoch = 736 Apr. 29.0 TT Peri. = 29.72723 e = 0.9774747 Node = 356.05277 (2000.0) a = 34.1569424 AU Inc. = 63.03432 n'= 0.00493726 q = 0.7693939 AU P = 199.627 years ] [ T = 932 July 1.77795 TT Epoch = 932 June 19.0 TT Peri. = 29.60144 e = 0.9775207 Node = 356.12520 (2000.0) a = 34.2297480 AU Inc. = 63.06389 n'= 0.00492151 q = 0.7694617 AU P = 200.265 years ] [ T = 1125 Jan. 24.98726 TT Epoch = 1125 Feb. 6.0 TT Peri. = 29.58158 e = 0.9771314 Node = 356.17781 (2000.0) a = 33.2688661 AU Inc. = 63.17405 n'= 0.00513626 q = 0.7608110 AU P = 191.892 years ] [ T = 1302 July 19.59959 TT Epoch = 1302 July 7.0 TT Peri. = 29.78368 e = 0.9758743 Node = 356.04854 (2000.0) a = 31.5386528 AU Inc. = 63.61126 n'= 0.00556467 q = 0.7608933 AU P = 177.119 years ] [ T = 1466 June 16.55186 TT Epoch = 1466 June 16.0 TT Peri. = 29.59323 e = 0.9749125 Node = 356.07621 (2000.0) a = 30.2344475 AU Inc. = 63.95322 n'= 0.00592858 q = 0.7585081 AU P = 166.247 years ] [ T = 1626 June 4.40232 TT Epoch = 1626 May 17.0 TT Peri. = 29.53545 e = 0.9747583 Node = 355.96318 (2000.0) a = 29.8257437 AU Inc. = 63.96898 n'= 0.00605086 q = 0.7528518 AU P = 162.887 years ] T = 1788 Nov. 20.63761 TT Epoch = 1788 Nov. 23.0 TT Peri. = 29.57273 e = 0.9748503 Node = 355.97237 (2000.0) a = 29.7822960 AU Inc. = 63.84517 n'= 0.00606411 q = 0.7490145 AU P = 162.531 years The predicted orbit for the 2092 return is as follows: T = 2092 Mar. 16.44087 TT Epoch = 2092 Apr. 3.0 TT Peri. = 29.17122 e = 0.9743326 Node = 355.95403 (2000.0) a = 29.2154204 AU Inc. = 64.12161 n'= 0.00624146 q = 0.7498847 AU P = 157.913 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 1788/ 390806 754 1.5+ 0.2- 390828 013 (2.3- 6.8-) 881226 500 34.0+ 40.1- 390809 047 2.8- 0.1- 390829 388 2.5+ 5.8- 1789/ 390809 022 0.1- 0.9+ 390829 388 4.4- 2.3- 890106 500 4.2+ 38.2- 390809 754 1.0- 0.8+ 390830 388 3.5- 4.7- 890116 500 26.7- 44.3- 390812 012 3.0+ 0.2- 390901 066 1.0- 4.0- 890123 500 46.8- 23.9- 390813 754 1.1- 2.4+ 390905 754 5.0+ 0.1+ 890204 500 48.6- 31.2- 390814 012 0.2- 1.8+ 390905 066 (3.0+ 6.9-) 1939/ 390814 754 1.1+ 1.4+ 390905 013 1.7- 3.4- 390729 012 4.0+ 2.7+ 390815 754 1.0- 2.1+ 390907 066 (7.1+ 5.5-) 390729 754 2.7- 0.1- 390815 662 3.3+ 0.7+ 390908 754 2.4+ 2.5+ 390729 662 5.1+ 0.7- 390815 388 1.6- 2.7- 390911 066 (4.0+ 7.5-) 390730 754 1.4- 0.4- 390815 388 0.7- 1.0+ 390913 754 1.3- 0.2+ 390730 662 1.5- 0.4+ 390816 012 0.6- 3.4+ 390915 388 0.3- 1.5+ 390731 536 1.9- 2.2- 390817 013 (1.4+ 6.7-) 390918 754 2.2+ 0.2+ 390731 754 3.9- 0.8- 390819 013 1.4+ 3.5- 390918 029 2.0+ 1.8+ 390731 388 2.5- 1.0- 390819 013 (1.6+ 6.3-) 390919 029 3.2+ 0.5+ 390731 388 3.0- 0.8- 390819 013 2.1+ 4.2- 390925 754 1.0- 1.6+ 390801 035 2.4- 5.3+ 390820 047 2.9- 1.5- 391012 754 1.5+ 1.7+ 390801 754 2.4- 2.6- 390820 012 1.7- 1.3- 391020 754 0.5+ 4.6- 390801 388 3.4- 2.9- 390820 012 0.3+ 0.1+ 391108 754 1.3+ 3.4- 390801 388 1.5- 0.6+ 390823 013 3.2- 0.7- 391111 754 0.3+ 0.4- 390802 022 1.0+ 0.5+ 390824 047 (8.3+ 2.5+) 391113 754 0.5- 3.4+ 390803 754 0.2+ 1.1+ 390825 013 (3.9+ 6.3-) 391222 754 5.2- 1.9- 390804 754 0.6- 0.9+ 390825 013 (5.9+ 6.6-) 1940/ 390804 662 1.1+ 1.0- 390825 388 2.4+ 0.1- 400115 662 1.5+ 1.5+ 390805 012 1.0- 0.7- 390826 013 0.4- 4.9- 400115 662 0.3+ 2.6+ 390805 754 0.4- 1.0+ 390826 662 3.7+ 1.6- 400116 662 1.3+ 3.4+ 390806 012 3.1+ 3.2+ 390827 013 2.3+ 4.1- 400116 662 1.9+ 1.8+ ( ) -------- Rejected Obs.
Director, Computing Section Syuichi Nakano 2005 Oct. 6