OAA computing section circular NK 678 51P/Harrington = Nucleus A in 1994

The following improved orbital elements, by S. Nakano, are from 170 observations 1980-1995, 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 +/- 0.93 arc second. Epoch = 1994 Sept. 5.0 TT T = 1994 Aug. 23.23462 +/- 0.00033 (m.e.) TT Peri. = 233.45524 +/- 0.00028 Node = 119.26290 +/- 0.00013 (2000.0) Inc. = 8.65568 +/- 0.00001 q = 1.5718895 +/- 0.0000018 AU e = 0.5613401 +/- 0.0000005 a = 3.5833896 +/- 0.0000016 AU n' = 0.14529914 +/- 0.00000010 P = 6.783 +/- 0.0000046 years A1 = +0.722 +/- 0.052 A2 = +0.06017 +/- 0.00068 T = 1980 Dec. 24.56723 TT Epoch = 1980 Dec. 27.0 TT Peri. = 233.04802 e = 0.5557660 Node = 119.62691 (2000.0) a = 3.6117636 AU Inc. = 8.64756 n'= 0.14359030 q = 1.6044682 AU P = 6.864 years T = 1987 Oct. 31.78702 TT Epoch = 1987 Oct. 12.0 TT Peri. = 233.05200 e = 0.5571349 Node = 119.61608 (2000.0) a = 3.6036043 AU Inc. = 8.65369 n'= 0.14407825 q = 1.5959107 AU P = 6.841 years The predicted orbit for the 2001 return is as follows: T = 2001 June 5.88951 TT Epoch = 2001 June 20.0 TT Peri. = 233.60474 e = 0.5618478 Node = 119.18072 (2000.0) a = 3.5789570 AU Inc. = 8.65622 n'= 0.14556915 q = 1.5681279 AU P = 6.771 years The following residuals in seconds of arc are from the above orbital elements: 1980/ 940803 360 1.5+ 0.0 941030 360 0.7+ 0.5+ 800904 323 2.4+ 0.0 940803 360 2.0+ 0.0 941030 360 0.2+ 0.3+ 800908 323 (4.4+ 14.6+) 940804 897 0.8+ 1.1- 941101 897 0.6+ 1.3+ 800909 323 1.7- 2.4+ 940804 897 0.4+ 0.2+ 941101 897 (0.0 2.5+) 801006 323(19.2- 17.1-) 940813 381 1.4+ 0.3+ 941104 410 0.1- 1.7+ 1987/ 940813 381 1.3+ 0.3+ 941104 410 0.1+ 2.3+ 870501 691 2.0+ 0.9+ 940814 897 0.4+ 1.0- 941107 691 0.9- 0.7- 870501 691 0.3+ 2.1+ 940814 897 0.0 0.2- 941107 691 0.7- 0.6- 870503 691 0.2- 0.1+ 940815 360 1.1+ 0.2+ 941108 801 0.4+ 0.5- 870503 691 0.3- 1.0+ 940815 360 1.4+ 0.2+ 941108 801 0.5+ 0.9+ 870503 691 0.6- 0.1+ 940902 801 1.4- 0.6+ 941108 360 0.5+ 0.3- 870503 691 0.4+ 0.4- 940902 801 1.5- 0.5+ 941108 360 0.4+ 0.4- 870523 691 0.8+ 0.3- 940907 801 1.2- 0.5+ 941109 691 1.1- 0.9- 870523 691 1.4+ 0.1- 940907 801 0.9- 0.2+ 941109 691 0.8- 0.9- 870523 691 1.2+ 0.5- 940908 360 0.3+ 0.5+ 941109 691 0.9- 1.0- 870702 323 (1.0- 3.8+) 940908 360 0.3+ 0.5+ 941123 410 1.0+ 0.5+ 870721 691 1.2- 1.3- 940909 410 0.1- 0.3- 941123 410 0.5- 0.3+ 870721 691 1.0- 0.9- 940909 410 1.1- 0.2- 941123 360 0.2+ 0.5- 870721 691 0.8- 1.5- 940910 693 1.1- 1.1- 941123 360 0.2- 1.2- 870722 691 1.1+ 1.7- 940910 693 1.2- 1.0- 941124 897 0.6+ 1.7- 870722 691 0.1+ 1.7- 940910 693 1.2- 1.0- 941124 897 0.1- 0.5- 870722 691 1.1+ 1.3- 940913 360 0.1- 0.2+ 941124 897 0.4+ 0.1+ 870724 323 2.3+ 0.5- 940913 360 0.2- 0.2+ 941126 410 0.4+ 0.7+ 870817 691 0.3+ 0.6- 940925 897 0.2- 0.5- 941126 410 1.0+ 0.6+ 870817 691 0.0 0.2- 940925 897 1.8- 0.5+ 941126 410 1.1+ 0.0 870817 691 0.3- 0.5- 940925 897 0.4- 0.3+ 941201 118 1.0- 0.7+ 870818 691 1.1- 0.0 940930 897 1.1- 0.2+ 941203 118 0.3- 0.7+ 870818 691 1.6- 0.6- 940930 897 0.6- 0.6+ 941203 118 1.2+ 0.9+ 870818 691 1.6- 0.1+ 941001 410 0.2- 0.6+ 941204 897 1.8+ 1.2+ 870818 691 1.3- 0.3- 941001 410 0.4- 0.5+ 941204 897 1.8+ 0.3+ 870920 399 1.9- 1.6+ 941002 360 0.6+ 0.4+ 941204 360 0.2+ 1.3- 870927 399 0.3- 1.2+ 941002 360 0.4+ 0.4+ 941204 410 1.4+ 1.1+ 871119 474 1.4+ 0.5- 941004 801 2.4- 1.3+ 941204 360 0.1+ 1.3- 871119 474 0.2+ 0.8- 941004 801 0.7- 0.7+ 941204 410 0.9+ 0.0 871122 897 1.5+ 0.2- 941004 691 0.4- 0.1+ 941204 410 0.4+ 0.2- 871122 897 2.4+ 1.7+ 941004 691 0.6- 0.3+ 941206 360 0.5+ 1.8- 871124 323 (3.5- 0.1+) 941004 691 0.9- 0.1+ 941206 360 0.6+ 1.7- 1994/ 941004 691 0.6- 0.2+ 941206 359 (0.2+ 2.9-) 940501 691 0.4+ 0.4+ 941005 046 0.2- 0.6+ 941206 359 1.1+ 1.9- 940501 691 0.3- 0.9+ 941005 046 0.1- 0.5+ 941209 691 1.2- 1.1- 940501 691 1.3+ 0.1- 941005 046 0.1- 0.5+ 941209 691 2.0- 1.6- 940502 691 0.8- 1.2- 941005 691 0.3- 0.3- 941209 691 1.6- 1.5- 940502 691 0.3- 0.4- 941005 691 0.5- 0.2- 941222 360 0.3- 1.0- 940502 691 0.2+ 0.3+ 941007 557 0.4+ 0.2+ 941222 360 0.3+ 1.3- 940502 691 0.8- 0.0 941007 046 0.0 0.0 941229 410 1.9+ 0.3+ 940508 360 1.0- 1.3- 941007 557 0.0 0.1+ 941229 410 0.7- 0.4- 940508 360 0.3- 1.2- 941007 046 0.1+ 0.0 941229 410 1.6+ 0.6- 940522 360 0.4+ 0.4- 941007 046 0.0 0.2+ 941231 897 0.9+ 0.9+ 940522 360 0.3+ 0.0 941007 557 0.3+ 0.0 941231 897 (6.4+ 2.1-) 940605 360 0.8+ 0.1- 941007 801 1.9- 0.1+ 941231 897 2.1+ 0.8+ 940605 360 0.2+ 0.6- 941007 801 0.4- 0.5+ 941231 897 (4.4+ 2.5+) 940613 691 1.5- 0.7+ 941008 557 0.4+ 0.1+ 1995/ 940613 691 2.1- 0.7+ 941008 557 0.4+ 0.2+ 950102 410 2.0+ 0.4- 940613 691 1.3- 0.5+ 941009 557 0.3+ 0.1- 950102 410 1.7+ 0.5+ 940707 360 1.4+ 0.3+ 941009 557 0.3+ 0.2+ 950102 410 1.7+ 0.3+ 940707 360 0.9+ 0.1+ 941010 557 0.5+ 0.4+ 950103 691 2.0- 1.6- 940715 360 1.1+ 0.6+ 941010 557 0.5+ 0.1+ 950103 691 1.6- 1.5- 940715 360 0.8+ 0.3+ 941014 897 1.0+ 0.1+ 950128 691 0.5- 1.0- 940728 897 0.8+ 0.7- 941014 897 0.8- 0.4+ 950128 691 0.1- 1.1- 940728 897 0.9- 0.1- 941014 360 0.3+ 0.0 950128 691 0.3- 1.4- 940728 897 0.2+ 0.5- 941014 360 0.3+ 0.0 ( ) -------- Rejected Obs.

Director, Computing Section Syuichi Nakano 1998 May 1

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