OAA computing section circular NK 1206 61P/Shajn-Schaldach
The following improved orbital elements, by S. Nakano, are from 146 observations 1971 to 2001, 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 +/- 0.95 arc second. See a previous orbit in NK 677 (= MPC 31664). Epoch = 2001 May 11.0 TT T = 2001 May 9.01554 +/- 0.00211 (m.e.) TT Peri. = 216.62509 +/- 0.00053 Node = 166.88051 +/- 0.00018 (2000.0) Inc. = 6.08452 +/- 0.00002 q = 2.3301064 +/- 0.0000011 AU e = 0.3894768 +/- 0.0000002 a = 3.8165734 +/- 0.0000006 AU n' = 0.13218849 +/- 0.00000003 P = 7.456 +/- 0.0000017 years A1 = +0.505 +/- 0.176 A2 = -0.11492 +/- 0.00350 T = 1971 Oct. 1.96861 TT Epoch = 1971 Oct. 16.0 TT Peri. = 215.14489 e = 0.4062863 Node = 167.95422 (2000.0) a = 3.7517249 AU Inc. = 6.14463 n'= 0.13563057 q = 2.2274505 AU P = 7.267 years T = 1979 Jan. 8.98249 TT Epoch = 1979 Jan. 7.0 TT Peri. = 215.31664 e = 0.4067316 Node = 167.88278 (2000.0) a = 3.7473988 AU Inc. = 6.14781 n'= 0.13586551 q = 2.2232131 AU P = 7.254 years T = 1986 May 27.33795 TT Epoch = 1986 May 10.0 TT Peri. = 216.52933 e = 0.3895881 Node = 166.92947 (2000.0) a = 3.8183534 AU Inc. = 6.08434 n'= 0.13209607 q = 2.3307684 AU P = 7.461 years T = 1993 Nov. 15.91172 TT Epoch = 1993 Nov. 29.0 TT Peri. = 216.54414 e = 0.3876665 Node = 166.89147 (2000.0) a = 3.8288901 AU Inc. = 6.07750 n'= 0.13155117 q = 2.3445578 AU P = 7.492 years The predicted orbit for the 2008 return is as follows: T = 2008 Sept. 6.09836 TT Epoch = 2008 Sept.11.0 TT Peri. = 221.62154 e = 0.4265164 Node = 163.11855 (2000.0) a = 3.6757938 AU Inc. = 6.00902 n'= 0.13985479 q = 2.1080075 AU P = 7.047 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 1971/ 1987/ 940210 691 0.1+ 0.5- 710628 675(10.7- 5.6-) 870129 691 1.2+ 0.2- 2000/ 710629 675 0.8- 0.0 870129 691 1.3+ 0.4- 000422 809 0.9- 0.1+ 710916 806 1.6- 1.5+ 1993/ 000422 809 0.6- 0.1+ 710926 805 0.9- 2.5+ 930527 691 1.0- 0.4- 000422 809 0.4- 0.3+ 710927 805 0.6- 2.6+ 930527 691 2.1- 0.7- 000422 809 1.9- 0.2- 710929 675 (2.1- 3.6+) 930527 691 1.6- 0.5- 000422 809 0.5- 0.0 710930 675 (2.9- 3.4+) 930528 691 (3.1- 1.1-) 000422 809 0.5- 0.1+ 711014 371 1.7- 2.4- 930528 691 1.1- 1.3- 000502 809 0.4- 0.2+ 711014 371 1.2- 1.3- 930528 691 1.9- 0.5- 000502 809 0.2- 0.2+ 711019 693 (1.1+ 3.3+) 930722 691 0.5- 0.3+ 000502 809 0.1- 0.6+ 711019 693 (1.3+ 3.3+) 930723 691 0.7- 0.2+ 000502 809 0.4+ 0.4+ 711020 371 (7.0- 2.6+) 930814 691 0.9- 0.6- 000502 809 0.1+ 0.1+ 711020 371 (7.5- 3.2+) 930814 691 0.3- 0.8- 000607 695 0.4- 0.2+ 711021 805 0.4- 2.4+ 930825 360 (2.7- 2.1-) 000607 695 0.4- 0.5+ 711021 805 (2.9- 0.1-) 930825 360 (2.5- 2.4-) 000607 695 0.3- 0.5+ 711021 095 0.9+ 1.5- 930825 360 (2.7- 2.1-) 000726 360 0.2+ 0.3- 711022 993 1.7- 1.2+ 930910 691 0.4- 1.2- 000726 360 0.4- 0.3- 711026 821 0.2- 1.1+ 930910 691 0.6- 1.2- 000726 360 0.4- 0.7- 711026 821 1.7+ 1.3+ 930910 691 0.7- 1.0- 000801 704 0.0 0.9- 711026 380 (4.9- 0.3-) 930919 557 (2.1- 3.4-) 000801 704 0.3+ 0.5+ 711027 821 0.1+ 1.3+ 930919 557 (1.1- 2.7-) 000801 704 0.3+ 0.8- 711028 821 0.8- 1.5+ 930919 557 1.2- 1.0- 000801 704 0.3- 0.8- 711028 821 0.6- 1.8+ 930919 557 0.8- 0.5- 000807 360 0.1- 0.2- 711029 821 0.3+ 2.1+ 930919 557 (3.4- 0.4+) 000807 360 0.2- 0.0 711220 691 1.3+ 2.1+ 930925 360 0.0 1.2- 000807 360 0.3+ 0.3- 711220 691 1.1+ 1.8+ 930925 360 0.3- 1.1- 000820 699 1.3+ 1.5+ 1972/ 930926 360 0.3+ 0.9- 000820 699 0.0 0.7+ 720120 693 1.3+ 1.2+ 930926 360 0.2+ 0.6- 000820 699 0.8+ 0.3+ 720120 693 0.8+ 0.9+ 931011 900 0.0 0.1+ 000820 699 0.9+ 0.4+ 1978/ 931011 360 0.4+ 0.0 000823 360 0.8+ 0.2- 780731 801 1.8- 2.3+ 931011 360 0.3- 0.2+ 000823 360 1.0+ 0.5- 780830 801 0.7- 0.0 931011 900 0.1+ 1.5+ 000823 360 1.0+ 0.7- 780902 809 0.3- 0.3- 931013 675 0.4+ 1.7- 000824 867 0.7- 0.6- 780902 809 1.3- 0.8- 931013 675 1.3+ 1.5- 000824 867 1.1+ 0.2+ 780902 809 0.7- 0.1- 931016 107 1.7+ 1.6+ 000824 867 0.5+ 0.1- 780902 809 2.0- 0.5- 931019 360 0.3+ 0.1- 000824 867 0.3+ 0.1- 780906 809 0.2- 0.2- 931019 360 0.2+ 0.7- 000920 360 0.4+ 0.2+ 780910 809 0.5- 1.2+ 931022 691 0.0 0.1- 000920 360 0.9+ 0.2+ 780910 809 0.1- 0.4- 931022 691 0.1+ 0.3- 000920 360 1.1+ 0.2- 780910 809 0.3- 1.4+ 931022 691 0.3- 0.6- 001118 704 2.0+ 0.5+ 780910 809 0.1+ 0.4- 931024 691 0.3+ 0.8- 001118 704 (3.2+ 1.2+) 780927 801 1.9+ 0.5- 931024 691 0.1+ 1.1- 001118 704 0.1- 0.4+ 781031 801 0.7+ 1.6+ 931024 691 0.1+ 0.6- 001118 704 (2.5+ 1.7+) 1985/ 931207 360 0.2- 0.1+ 2001/ 850725 691 0.3+ 0.6- 931207 360 0.5+ 0.5- 011014 402 0.2+ 1.8- 850725 691 0.3- 0.7- 931207 360 1.3+ 0.3+ 011014 402 0.1- 1.9- 850725 691 0.6- 0.1- 931212 360 2.0+ 0.0 011026 402 1.7- 1.2- 850726 691 0.8+ 0.6+ 931212 360 1.3+ 1.0- 011026 402 1.6- 1.4- 850726 691 0.7+ 0.1+ 1994/ 011026 402 1.1- 1.3- 850726 691 0.4- 0.2+ 940105 360 1.2+ 0.0 011124 360 (0.4- 2.2-) 850814 691 0.7+ 1.3- 940105 360 0.9+ 0.1- 011124 360 0.6- 1.9- 850814 691 1.2+ 1.0- 940107 691 1.2+ 0.3- 011205 170 (1.8- 2.5-) 850814 691 0.9- 1.0- 940107 691 1.8+ 0.1+ 011206 170 0.1+ 1.3- 1986/ 940107 691 1.2+ 0.1- 011211 704 (3.2- 1.6-) 861106 691 0.2+ 1.6+ 940109 360 1.5+ 0.4+ 011211 704 (2.7- 3.1-) 861106 691 1.0- 1.8+ 940109 360 (3.2+ 0.3+) 011211 704 (2.8- 3.8-) 861204 691 0.0 0.0 940202 360 1.8+ 0.5+ 011211 704 2.1- 1.9- 861204 691 0.7+ 0.0 940202 360 0.8+ 0.4+ 011211 704 (2.5- 2.3-) 861227 691 0.7+ 0.8+ 940210 691 0.7+ 0.2- 861227 691 0.1+ 0.2+ 940210 691 0.3+ 0.9- ( ) -------- Rejected Obs.
Director, Computing Section Syuichi Nakano 2005 July 20