OAA computing section circular NK 677 61P/Shajn-Schaldach

The following improved orbital elements, by S. Nakano, are from 98 observations 1971-1994, 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 +/- 0.97 arc second. Epoch = 1993 Nov. 29.0 TT T = 1993 Nov. 15.90035 +/- 0.00243 (m.e.) TT Peri. = 216.54070 +/- 0.00080 Node = 166.89129 +/- 0.00023 (2000.0) Inc. = 6.07737 +/- 0.00003 q = 2.3445408 +/- 0.0000028 AU e = 0.3876662 +/- 0.0000003 a = 3.8288609 +/- 0.0000013 AU n' = 0.13155268 +/- 0.00000007 P = 7.492 +/- 0.0000038 years A1 = +3.499 +/- 0.460 A2 = -0.15589 +/- 0.00657 T = 1971 Oct. 1.99745 TT Epoch = 1971 Oct. 16.0 TT Peri. = 215.15480 e = 0.4062880 Node = 167.95426 (2000.0) a = 3.7516899 AU Inc. = 6.14452 n'= 0.13563247 q = 2.2274233 AU P = 7.267 years T = 1979 Jan. 8.99727 TT Epoch = 1979 Jan. 7.0 TT Peri. = 215.32162 e = 0.4067323 Node = 167.88282 (2000.0) a = 3.7473547 AU Inc. = 6.14770 n'= 0.13586790 q = 2.2231846 AU P = 7.254 years T = 1986 May 27.34170 TT Epoch = 1986 May 10.0 TT Peri. = 216.53033 e = 0.3895884 Node = 166.92930 (2000.0) a = 3.8183290 AU Inc. = 6.08421 n'= 0.13209734 q = 2.3307524 AU P = 7.461 years The predicted orbit for the 2001 return is as follows: T = 2001 May 8.98635 TT Epoch = 2001 May 11.0 TT Peri. = 216.61790 e = 0.3894754 Node = 166.88034 (2000.0) a = 3.8165379 AU Inc. = 6.08439 n'= 0.13219033 q = 2.3300903 AU P = 7.456 years The following residuals in seconds of arc are from the above orbital elements: 1971/ 780910 809 0.4+ 0.3- 930919 557 (0.2- 2.5-) 710628 675 (9.8- 5.2-) 780927 801 (2.7+ 0.4-) 930919 557 0.3- 0.8- 710629 675 0.2+ 0.5+ 781031 801 2.3+ 1.8+ 930919 557 0.1+ 0.3- 710916 806 0.7- 1.4+ 1985/ 930919 557 (2.4- 0.6+) 710926 805 0.4- 2.3+ 850725 691 0.3+ 0.1+ 930925 360 0.9+ 1.0- 710927 805 0.1- 2.4+ 850725 691 0.2- 0.0 930925 360 0.6+ 0.9- 710929 675 (1.7- 3.4+) 850725 691 0.6- 0.6+ 930926 360 1.2+ 0.7- 710930 675 (2.5- 3.2+) 850726 691 0.8+ 1.2+ 930926 360 1.1+ 0.4- 711014 371 (1.6- 2.6-) 850726 691 0.7+ 0.8+ 931011 900 0.9+ 0.3+ 711014 371 1.2- 1.5- 850726 691 0.3- 0.9+ 931011 360 1.3+ 0.2+ 711019 693 (1.1+ 3.1+) 850814 691 0.8+ 0.7- 931011 360 0.6+ 0.4+ 711019 693 (1.3+ 3.1+) 850814 691 1.3+ 0.4- 931011 900 1.0+ 1.6+ 711020 371 (7.0- 2.4+) 850814 691 0.8- 0.4- 931013 675 1.3+ 1.5- 711020 371 (7.5- 3.0+) 1986/ 931013 675 2.1+ 1.4- 711021 805 0.5- 2.3+ 861106 691 0.3- 1.0+ 931016 107 (2.5+ 1.8+) 711021 805 (2.9- 0.2-) 861106 691 1.5- 1.2+ 931019 360 1.1+ 0.0 711021 095 0.9+ 1.7- 861204 691 0.4- 0.7- 931019 360 1.0+ 0.5- 711022 993 1.7- 1.0+ 861204 691 0.3+ 0.8- 931022 691 0.3- 0.0 711026 821 0.3- 1.0+ 861227 691 0.3+ 0.1+ 931022 691 0.2- 0.2- 711026 821 1.6+ 1.2+ 861227 691 0.3- 0.5- 931022 691 0.6- 0.5- 711026 380 (5.1- 0.5-) 1987/ 931024 691 0.0 0.7- 711027 821 0.1- 1.2+ 870129 691 0.9+ 0.9- 931024 691 0.2- 1.0- 711028 821 0.9- 1.4+ 870129 691 1.0+ 1.0- 931024 691 0.2- 0.5- 711028 821 0.7- 1.7+ 1993/ 931207 360 0.1- 0.1- 711029 821 0.2+ 2.0+ 930527 691 0.0 0.3+ 931207 360 0.6+ 0.7- 711220 691 0.4+ 2.0+ 930527 691 1.1- 0.1- 931207 360 1.4+ 0.0 711220 691 0.2+ 1.7+ 930527 691 0.7- 0.2+ 931212 360 2.0+ 0.3- 1972/ 930528 691 2.1- 0.4- 931212 360 1.3+ 1.3- 720120 693 0.9- 0.5+ 930528 691 0.2- 0.6- 1994/ 720120 693 1.4- 0.3+ 930528 691 1.0- 0.2+ 940105 360 0.9+ 0.5- 1978/ 930722 691 0.4- 0.5+ 940105 360 0.6+ 0.6- 780731 801 (2.2- 2.5+) 930723 691 0.5- 0.5+ 940107 691 0.2- 0.7- 780830 801 0.6- 0.2+ 930814 691 0.9- 0.4- 940107 691 0.5+ 0.3- 780902 809 0.1- 0.1- 930814 691 0.3- 0.6- 940107 691 0.2- 0.5- 780902 809 1.1- 0.7- 930825 360 1.7- 2.0- 940109 360 1.2+ 0.1- 780902 809 0.5- 0.0 930825 360 1.6- 2.2- 940109 360 (2.9+ 0.1-) 780902 809 1.8- 0.4- 930825 360 1.7- 1.9- 940202 360 1.4+ 0.0 780906 809 0.1+ 0.1- 930910 691 0.5- 1.0- 940202 360 0.5+ 0.1- 780910 809 0.2- 1.4+ 930910 691 0.7- 1.0- 940210 691 0.7- 0.7- 780910 809 0.3+ 0.3- 930910 691 0.8- 0.8- 940210 691 1.1- 1.4- 780910 809 0.0 1.5+ 930919 557 (1.2- 3.2-) 940210 691 1.3- 1.0- ( ) -------- Rejected Obs.

Director, Computing Section Syuichi Nakano 1998 May 1

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