OAA computing section circular NK 690 96P/Machholz 1
The following improved orbital elements, by S. Nakano, are from 104 observations 1986-1997, including planetary perturbations by Mercury to Neptune and three minor planets, Ceres, Pallas, Vesta. The mean residual is +/- 0.90 arc seconds. Epoch = 1996 Oct. 4.0 TT T = 1996 Oct. 15.06976 +/- 0.00015 (m.e.) TT Peri. = 14.58610 +/- 0.00004 Node = 94.53202 +/- 0.00003 (2000.0) Inc. = 60.07424 +/- 0.00008 q = 0.1247183 +/- 0.0000003 AU e = 0.9586365 +/- 0.0000001 a = 3.0151758 +/- 0.0000036 AU n' = 0.18825006 +/- 0.00000034 P = 5.236 +/- 0.0000093 years T = 1986 Apr. 23.51666 TT Epoch = 1986 May 10.0 TT Peri. = 14.53369 e = 0.9580122 Node = 94.50057 (2000.0) a = 3.0192861 AU Inc. = 59.98829 n'= 0.18786578 q = 0.1267732 AU P = 5.246 years T = 1991 July 21.98254 TT Epoch = 1991 July 3.0 TT Peri. = 14.53635 e = 0.9583691 Node = 94.51754 (2000.0) a = 3.0157116 AU Inc. = 60.14615 n'= 0.18819989 q = 0.1255468 AU P = 5.237 years The predicted orbit for the 2002 return is as follows: T = 2002 Jan. 8.63406 TT Epoch = 2002 Jan. 6.0 TT Peri. = 14.58068 e = 0.9588116 Node = 94.60846 (2000.0) a = 3.0131099 AU Inc. = 60.18665 n'= 0.18844369 q = 0.1241051 AU P = 5.230 years The following residuals in seconds of arc are from the above orbital elements: 1986/ 860611 046 0.1+ 0.1- 1989/ 860513 688 0.7+ 0.7+ 860611 691 1.1+ 1.0- 890406 807 0.5+ 0.3+ 860513 688 1.2- 0.0 860611 691 0.7+ 0.4+ 890406 807 0.3+ 0.5+ 860513 392 (6.8+ 0.8+) 860611 691 (7.1+ 4.4+) 890406 807 0.2- 0.1+ 860513 392 (2.7+ 0.2+) 860612 707 0.1- 0.8+ 890406 807 0.5+ 0.3+ 860514 372 1.0+ 1.2+ 860612 657 (2.4- 4.0-) 890406 807 0.3+ 0.2+ 860514 372 2.3+ 1.8+ 860612 392(11.3- 10.1-) 890406 807 0.0 0.9+ 860515 801 2.3- 1.7- 860612 392 (6.7- 9.3-) 890602 568(0.13- 0.07-) 860515 657 (3.2+ 1.0+) 860613 657 (0.9- 2.9-) 890603 568 1.1- 0.2- 860515 657 1.0+ 2.2+ 860613 707 (3.0- 1.3-) 890603 568 1.3- 0.7- 860516 657 1.3+ 0.6- 860614 392(10.9- 1.2-) 890801 568 0.3+ 0.5- 860516 688 (2.6- 2.4+) 860614 392 (7.9- 0.4+) 1990/ 860516 688 (9.9- 3.8+) 860615 494 1.6+ 0.8- 900429 807 1.6- 0.2- 860517 688 (2.5- 0.5-) 860625 657 1.8- 0.1- 900429 807 1.0- 0.1- 860517 688 0.6- 0.8- 860626 657 1.2- 0.1- 900429 807 1.2- 0.1+ 860517 392 (2.2+ 4.6+) 860626 657 1.4+ 1.0+ 900429 807 1.3- 0.4+ 860517 392 (2.7- 2.4-) 860630 323 (2.9- 4.3+) 900429 807 1.0- 0.3+ 860517 372 1.7- 0.6+ 860704 293 2.1- 0.4+ 1991/ 860517 372 (2.5+ 1.8-) 860704 293 (2.3- 5.1-) 910703 474 0.6+ 0.2- 860517 372 (3.2+ 0.5+) 860704 801 0.4+ 0.3+ 910703 474 0.1- 2.0- 860518 026 2.4+ 1.2- 860705 691 0.7+ 0.7+ 910704 474 1.2- 2.1+ 860518 688 (4.4- 1.3-) 860705 691 0.8+ 1.4+ 910704 474 (3.2- 0.4+) 860518 688 (5.3- 1.4-) 860705 691 1.2+ 1.2+ 910704 474 0.8- 1.8+ 860519 688 (5.1+ 1.6-) 860705 691 0.8+ 2.2+ 910705 474 0.6- 1.3+ 860526 657 (0.1+ 13.7-) 860707 323 0.9- 0.1+ 910705 474 0.3- 0.0 860526 372 (0.5+ 3.8+) 860708 801 0.0 0.8- 910802 372 0.9- 1.6- 860526 372 (4.6+ 7.6+) 860710 691 0.5+ 0.5- 910802 372 0.4+ 2.4- 860529 984 (2.2+ 9.1+) 860710 691 0.1+ 0.4- 910802 372 0.5- 1.3- 860529 372 (5.3- 0.2-) 860710 691 0.1+ 0.5- 910803 587 0.9- 0.9+ 860529 372 (0.1+ 4.3-) 860712 707 0.5- 0.8- 910814 675 (2.1+ 4.3-) 860529 372 0.1- 0.4+ 860727 691 0.8+ 0.0 910814 675 (1.5+ 2.6-) 860530 657 1.2- 1.6+ 860727 691 0.4+ 0.1+ 1996/ 860531 372 1.0- 0.9+ 860727 691 0.3+ 0.4- 961013 249(40.1+ 71.8-)Y 860531 372 2.0- 0.8- 860730 691 0.6- 0.6- 961013 249(0.01+ 0.03-)Y 860602 657 1.6- 0.5+ 860730 691 0.8- 0.6- 961013 249(27.3+ 97.9-)Y 860603 801 1.4- 0.7- 860730 691 0.7- 0.9- 961013 249(0.02- 0.03-)Y 860603 552 (7.6- 5.1-) 860815 675 0.3+ 0.2- 961014 249(50.9- 22.3-)Y 860603 552 (5.1- 0.9-) 860815 675 0.4+ 0.3+ 961014 249(96.9- 22.9+)Y 860604 801 (2.6+ 2.0+) 860816 675 0.3+ 0.3+ 961014 249(12.2- 21.3-)Y 860605 801 1.3+ 0.2+ 860816 675 0.3+ 0.0 961014 249(0.02- 0.03-)Y 860605 691 0.5- 0.1+ 860905 691 1.8- 1.1+ 1997/ 860605 691 1.4+ 0.6- 860905 691 0.3+ 0.0 970415 568 0.4+ 0.5- 860605 691 1.0- 0.2+ 860905 691 0.2+ 0.9+ 970415 568 0.2+ 0.6- 860605 691 0.6+ 1.0- 860905 691 0.9+ 0.2+ 970415 568 0.3+ 0.5- 860606 707 0.3- 0.5- 1988/ 970415 568 0.2+ 0.6- 860606 691 0.9+ 0.3- 880515 809 0.0 0.2- 970415 568 0.3+ 0.5- 860606 691 1.3+ 0.8+ 880515 809 0.1- 0.2- 970417 568 0.4+ 0.4- 860607 707 0.2- 0.6- 880515 809 0.1- 0.1- 970417 568 0.0 0.7- 860607 372 (8.4- 2.4-) 880516 809 0.2- 0.1- 970712 696 0.6+ 1.2- 860609 801 0.1- 0.3+ 880516 809 0.2- 0.1- 970712 696 0.4+ 1.1- 860609 399 (7.5- 1.8+) 880516 809 0.2- 0.2- 970712 696 0.3+ 1.4- 860610 801 0.8- 0.7- 880517 809 0.1+ 0.5- 860611 046 1.5+ 0.2+ 880517 809 0.1- 0.4- ( ) -------- Rejected Obs.
Director, Computing Section Computed date Syuichi Nakano 1998 July 27