OAA computing section circular NK 1057 136P/Mueller 3

The following improved orbital elements, by S. Nakano, are from 100 observations 1990 to 1999. Perturbations by Mercury to Neptune and three minor planets, Ceres, Pallas and Vesta, were taken into account. The mean residual is +/- 0.87 arc second. Epoch = 1999 Mar. 3.0 TT T = 1999 Mar. 20.33870 +/- 0.00729 (m.e.) TT Peri. = 225.41624 +/- 0.00138 Node = 137.96645 +/- 0.00017 (2000.0) Inc. = 9.41418 +/- 0.00003 q = 3.0106116 +/- 0.0000012 AU e = 0.2886857 +/- 0.0000002 a = 4.2324632 +/- 0.0000005 AU n' = 0.11319162 +/- 0.00000002 P = 8.707 +/- 0.0000015 years T = 1990 Aug. 1.75341 TT Epoch = 1990 Aug. 17.0 TT Peri. = 225.99245 e = 0.2882751 Node = 138.01058 (2000.0) a = 4.2121420 AU Inc. = 9.43121 n'= 0.11401174 q = 2.9978862 AU P = 8.645 years The predicted orbit for the 2007 return is as follows: T = 2007 Oct. 22.23451 TT Epoch = 2007 Oct. 27.0 TT Peri. = 224.86399 e = 0.2929623 Node = 137.56107 (2000.0) a = 4.1873963 AU Inc. = 9.42736 n'= 0.11502387 q = 2.9606468 AU P = 8.569 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 1990/ 980811 402 1.0+ 0.3- 990917 691 0.3- 0.6- 900917 675 1.3+ 1.8+ 980811 402 1.0- 0.2+ 990917 691 0.2- 0.4- 900917 675 (2.5- 1.6-) 980811 402 0.5- 0.3+ 991018 867 0.1+ 0.4- 900919 675 1.1- 1.4- 980817 704 1.7- 0.1+ 991018 867 0.0 0.1- 900919 675 1.3- 0.5- 980817 704 0.5+ 1.6- 991019 704 0.8- 0.4- 900924 675 (3.0- 3.1-) 980817 704 0.4- 0.7- 991019 704 1.2- 0.5- 900924 675 (2.3+ 2.2+) 980817 704 1.1+ 0.8- 991019 704 0.2+ 1.0- 900925 675 (8.7- 3.6-) 980817 704 1.0- 0.4+ 991019 704 0.8- 0.2- 900925 675 (3.4- 0.9+) 980831 691 0.6- 0.5+ 991105 704 0.1- 0.6- 900930 372 (3.3- 0.1-) 980831 691 0.7- 0.3+ 991105 704 0.3+ 0.0 900930 372 (3.6- 0.0 ) 980831 691 0.7- 0.5+ 991105 704 0.6+ 0.9- 901016 801 0.2- 0.5+ 980831 360 0.9+ 0.0 991105 704 0.1+ 0.8- 901019 372 1.4- 0.5+ 980831 360 1.4+ 0.4+ 991105 402 0.8+ 0.6- 901020 372 0.7- 0.5- 980831 360 1.1+ 0.2+ 991105 402 0.1- 0.4- 901021 801 0.5- 0.2+ 980912 402 (2.3+ 0.1-) 991105 402 0.9+ 0.3- 901114 801 0.3+ 0.1- 980912 402 2.0+ 0.4- 991108 360 0.1- 0.3- 901114 801 0.4- 0.3+ 980912 402 (2.2+ 0.3+) 991108 360 0.4+ 0.3- 901119 413 1.6+ 0.2- 980916 360 1.3+ 1.5+ 991108 360 0.1+ 0.0 901121 372 0.4- 0.3- 980916 360 1.3+ 1.2+ 991113 695 0.2+ 0.1- 901123 372 1.9+ 1.1- 980917 360 1.5+ 0.8+ 991113 695 0.5- 0.2- 901207 372 1.0- 1.9+ 980917 360 1.4+ 0.5+ 991113 402 0.3+ 0.6- 901215 801 0.5+ 1.8+ 980924 699 1.5+ 1.4+ 991113 402 0.2- 0.4- 901215 801 1.0+ 0.2- 980924 699 0.9+ 1.8+ 991129 352 0.3- 0.4+ 1998/ 980924 699 0.8- 1.5- 991129 352 0.2- 0.4+ 980524 691 (0.6- 2.5-) 981015 691 0.3- 0.0 991130 897 0.4+ 0.1+ 980524 691 0.9- 1.4- 981015 691 0.5+ 0.6+ 991130 897 0.1+ 1.0+ 980524 691 0.6- 1.8- 981015 691 0.2- 0.7+ 991130 897 0.7+ 1.3+ 980526 691 2.0- 1.2- 981021 360 1.2+ 2.0+ 991130 360 0.7+ 0.3- 980526 691 0.4- 1.1- 981021 360 0.7+ 1.3+ 991130 360 0.1+ 0.4- 980526 691 0.9- 1.5- 981021 360 1.0+ 1.0+ 991202 897 1.0- 1.2+ 980619 696 0.0 0.8- 981115 360 0.6- 0.0 991202 897 0.3+ 0.9+ 980619 696 0.1+ 0.9- 981115 360 0.2+ 0.4+ 991205 704 0.9+ 0.5- 980619 696 0.1+ 0.8- 981115 360 0.0 0.7+ 991205 704 1.3+ 1.3+ 980623 691 1.2- 0.4- 1999/ 991205 704 0.6+ 1.2+ 980623 691 1.5- 0.7- 990914 557 1.0- 0.7- 991207 897 0.2+ 0.1- 980702 402 0.7- 0.6- 990914 557 1.1- 0.4- 991207 897 0.2- 0.4- 980702 402 1.6- 1.8- 990914 557 1.1- 0.4- 991226 897 1.3+ 1.7- 980702 402 1.4- 0.1- 990917 691 0.3- 0.3- 991226 897 (2.9+ 0.4-) ( ) -------- Rejected Obs.

Director, Computing Section Syuichi Nakano 2004 Apr. 8

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