OAA computing section circular NK 842D 141P/Machholz 2-D

The following improved orbital elements, by S. Nakano, are from 117 observations 1994 to 1999, 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 +/- 1.04 arc seconds. See an orbit in NK 726. Epoch = 1999 Dec. 8.0 TT T = 1999 Dec. 9.95570 +/- 0.00110 (m.e.) TT Peri. = 149.29177 +/- 0.00060 Node = 246.13391 +/- 0.00040 (2000.0) Inc. = 12.81189 +/- 0.00012 q = 0.7490053 +/- 0.0000042 AU e = 0.7510657 +/- 0.0000039 a = 3.0088471 +/- 0.0000166 AU n' = 0.18884431 +/- 0.00000156 P = 5.219 +/- 0.0000432 years A1 = +2.185 +/- 0.157 A2 = +0.58082 +/- 0.04722 T = 1994 Sept.19.20802 TT Epoch = 1994 Sept. 5.0 TT Peri. = 149.26032 e = 0.7500816 Node = 246.17777 (2000.0) a = 3.0111820 AU Inc. = 12.78743 n'= 0.18862470 q = 0.7525498 AU P = 5.225 years The predicted orbit for the 2005 return is as follows: T = 2005 Mar. 2.54897 TT Epoch = 2005 Mar. 11.0 TT Peri. = 149.25906 e = 0.7502164 Node = 246.15943 (2000.0) a = 3.0144766 AU Inc. = 12.79593 n'= 0.18831555 q = 0.7529668 AU P = 5.234 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 1994/ 940927 657 (2.7- 1.8+) 991025 402 0.7+ 0.1+ 940830 557 0.2+ 0.4- 940927 657 2.2- 1.5+ 991025 867 0.1- 0.7+ 940830 557 0.2+ 0.7- 940927 657 (2.6- 1.8+) 991025 402 1.5+ 1.7- 940830 557 0.2- 0.2- 941002 360 (3.3- 2.6+) 991025 402 2.1+ 0.1- 940830 557 0.5+ 0.5- 941002 360 1.3- 1.7+ 991025 402 0.3+ 0.9- 940830 557 0.3+ 0.6- 941002 372 0.8+ 1.7+ Y 991025 867 1.2- 0.8+ 940830 557 0.2+ 1.3- 941005 557 (1.9- 2.5+) 991028 897 (3.3- 2.0-) 940830 657 (2.8- 0.0 ) 941007 557 2.1- 1.2+ 991028 897 1.5- 1.3- 940830 657 (3.6- 2.1-) 941007 557 1.6- 1.3+ 991029 402 1.1- 0.0 940830 657 1.1+ 0.1- 941007 557 (2.6- 1.6+) 991029 402 0.9+ 1.2+ 940830 657 (0.5- 3.5-) 941007 046 0.9- 1.2+ 991029 402 1.4+ 0.2- 940901 658 (2.7- 0.9+) 941007 046 (3.6- 1.4+) 991029 402 0.7+ 0.0 940901 658 (5.5- 2.0+) 941007 046 (5.1- 1.3+) 991029 402 0.8- 0.0 940901 360 (3.7- 0.8+) 941007 046 (2.7- 0.8-) 991029 402 0.2- 0.5- 940901 360 2.1- 0.4- 941007 675 (3.8- 2.5+) 991101 540 (2.3+ 1.0+) 940902 557 (2.4- 0.7+) 941007 675 2.0- 1.1+ 991101 540 0.7+ 1.7+ 940902 557 1.6- 0.8+ 941010 675 (4.0- 0.6-) 991101 540 1.0+ 0.9+ 940902 557 1.4+ 0.1+ 941010 675 (3.6- 1.3+) 991101 540 1.2+ 0.7+ 940903 410 (3.0- 1.4+) 941011 557 0.8- 0.2+ 991101 540 2.2+ 0.8+ 940903 410 (5.4- 1.7+) 941011 557 0.0 0.5- 991102 372 (0.7- 2.5+) 940903 410 (3.7- 0.1-) 941011 557 0.6+ 0.1- 991102 413 0.0 0.7- 940903 360 0.6- 1.0+ 941014 360 1.5+ 0.6+ 991102 372 (1.2- 2.5+) 940903 360 1.6- 0.1- 941014 360 1.7+ 0.5- 991103 402 (2.3- 0.8-) 940904 557 0.9- 1.8+ 941016 540 (9.8- 8.8+) 991103 360 0.7- 0.3- 940904 557 1.3- 1.7+ 941016 540(10.0- 4.6+) 991103 402 0.4- 0.7- 940904 557 0.8- 0.6+ 941018 557 1.6+ 1.2- 991103 402 1.6- 0.4- 940904 675 (1.2- 6.3+) 941018 557 1.9- 1.3+ 991103 360 1.0- 0.2- 940905 540 (5.0- 0.0 ) 941018 557 (3.1- 0.9+) 991103 367 0.1+ 0.7+ 940906 675 (3.6- 1.8+) 941018 557 2.1- 0.1- 991103 367 1.8+ 1.0+ 940908 540 1.1+ 1.0- 941018 557 (6.3- 1.0+) 991103 367 0.6- 0.2- 940908 540 (0.6+ 2.4-) 941022 897 1.8- 0.2+ 991104 360 0.1+ 0.7+ 940908 360 1.3+ 1.6- 941022 897 2.0- 1.2- 991104 360 0.1- 0.2+ 940908 360 1.3+ 1.4- 941102 557 1.0- 0.7+ 991104 360 0.7+ 0.4- 940910 557 0.5+ 0.1+ 941102 557 0.7- 0.5- 991104 413 0.4- 0.2- 940910 557 0.7- 1.1- 941102 557 1.4+ 0.4- 991105 402 (2.3+ 0.9-) 940910 557 1.3+ 0.1+ 941109 691 1.6+ 0.1+ 991105 402 1.9- 0.8- 940910 557 (3.4+ 1.6-) 941109 691 0.0 1.2- 991105 402 0.5- 1.0- 940910 557 1.5+ 0.1- 941110 691 (4.8+ 0.3-) 991106 349 0.5+ 0.1+ 940910 816 (3.5+ 0.6-) 941110 691 (2.4+ 1.0+) 991106 349 0.8- 1.6- 940910 816 0.9- 1.4+ 941208 691 (4.4+ 1.3+) 991107 402 1.0- 0.6- 940913 360 (3.2+ 1.9-) 941208 691 (0.8+ 3.7+) 991107 402 2.0- 0.1- 940913 360 (2.5+ 2.2-) 941208 691 1.0+ 1.6- 991107 402 0.8- 1.1- 940916 372 (4.6- 0.2+) 1999/ 991109 372 (1.6- 4.8+) 940916 372 1.1- 0.5+ 991017 413 0.9- 0.4+ 991110 360 1.6- 0.0 940923 557 1.7+ 0.9- 991017 413 1.1- 0.0 991110 360 0.5- 0.6- 940923 557 1.9+ 1.0- 991017 413 1.4- 0.9+ 991110 360 1.0- 0.5- 940923 557 1.8+ 0.7- 991021 402 (2.6- 1.3-) 991113 402 1.7+ 0.8+ 940923 557 1.8+ 0.7- 991021 402 (2.4- 0.2-) 991113 897 (3.1+ 2.2+) 940923 557 2.0+ 1.2- 991021 402 0.4+ 0.3- 991113 402 0.6+ 0.1+ 940924 372 0.2- 0.8+ 991023 402 0.0 0.2- 991113 402 0.0 0.1+ 940924 372 0.8+ 0.7- 991023 402 1.3+ 0.4+ 991113 897 (6.3+ 1.7+) 940924 372 0.2- 0.5+ 991023 402 1.6+ 0.4- 991118 349 0.1- 0.2- 940924 372 0.2+ 0.8- 991023 402 0.7+ 0.5+ 991118 349 0.3- 1.6+ 940925 372 0.6- 0.6+ 991023 402 0.4- 0.5+ 991126 046 0.9- 2.0- 940925 372 1.6+ 0.4- 991025 897 1.4+ 0.1+ 991126 046 (3.9- 1.0-) 940925 372 0.6+ 0.5+ 991025 897 1.4- 0.9+ 991126 046 (4.0- 0.1-) 940925 372 (1.3+ 3.2+) 991025 402 1.0+ 0.8+ 991126 046 1.3+ 1.2- ( ) -------- Rejected Obs.

Director, Computing Section Syuichi Nakano 2002 May 6

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