OAA computing section circular NK 1192 113P/Spitaler

The following improved orbital elements, by S. Nakano, are from 190 observations 1890 to 2001. Perturbations by Mercury to Neptune and three minor planets, Ceres, Pallas and Vesta, were taken into account. The mean residual is +/- 0.84 arc second. See a previous orbit in NK 669 and MPC 31663. Epoch = 2001 Feb. 20.0 TT T = 2001 Feb. 25.87177 +/- 0.00031 (m.e.) TT Peri. = 50.06292 +/- 0.00017 Node = 14.52555 +/- 0.00016 (2000.0) Inc. = 5.77657 +/- 0.00004 q = 2.1272532 +/- 0.0000025 AU e = 0.4235489 +/- 0.0000007 a = 3.6902581 +/- 0.0000016 AU n' = 0.13903334 +/- 0.00000009 P = 7.089 +/- 0.0000047 years T = 1890 Oct. 27.48050 TT Epoch = 1890 Nov. 9.0 TT Peri. = 13.61695 e = 0.4695600 Node = 46.52329 (2000.0) a = 3.4237255 AU Inc. = 12.81411 n'= 0.15558068 q = 1.8160809 AU P = 6.335 years [ T = 1897 Mar. 1.89528 TT Epoch = 1897 Mar. 17.0 TT Peri. = 13.79631 e = 0.4698869 Node = 46.46258 (2000.0) a = 3.4235591 AU Inc. = 12.81283 n'= 0.15559202 q = 1.8148736 AU P = 6.335 years ] [ T = 1903 Dec. 15.84814 TT Epoch = 1904 Jan. 1.0 TT Peri. = 21.90661 e = 0.4246386 Node = 42.13393 (2000.0) a = 3.6031126 AU Inc. = 10.83531 n'= 0.14410774 q = 2.0730918 AU P = 6.839 years ] [ T = 1910 Oct. 24.33403 TT Epoch = 1910 Oct. 16.0 TT Peri. = 22.04367 e = 0.4234394 Node = 42.08897 (2000.0) a = 3.6105491 AU Inc. = 10.82338 n'= 0.14366276 q = 2.0817005 AU P = 6.861 years ] [ T = 1917 Aug. 30.11669 TT Epoch = 1917 Sept. 9.0 TT Peri. = 21.84373 e = 0.4236028 Node = 42.09881 (2000.0) a = 3.6128217 AU Inc. = 10.82051 n'= 0.14352722 q = 2.0824202 AU P = 6.867 years ] [ T = 1924 July 8.83428 TT Epoch = 1924 June 24.0 TT Peri. = 21.65932 e = 0.4222881 Node = 42.08397 (2000.0) a = 3.6153740 AU Inc. = 10.81229 n'= 0.14337527 q = 2.0886444 AU P = 6.874 years ] [ T = 1931 May 21.73632 TT Epoch = 1931 May 19.0 TT Peri. = 21.80094 e = 0.4238389 Node = 42.03412 (2000.0) a = 3.6062426 AU Inc. = 10.81651 n'= 0.14392017 q = 2.0777765 AU P = 6.848 years ] [ T = 1938 Mar. 11.41285 TT Epoch = 1938 Mar. 3.0 TT Peri. = 22.09127 e = 0.4328679 Node = 41.65756 (2000.0) a = 3.5755366 AU Inc. = 10.83178 n'= 0.14577808 q = 2.0278017 AU P = 6.761 years ] [ T = 1944 Dec. 18.58692 TT Epoch = 1944 Dec. 16.0 TT Peri. = 22.31334 e = 0.4330144 Node = 41.58748 (2000.0) a = 3.5760134 AU Inc. = 10.82741 n'= 0.14574893 q = 2.0275481 AU P = 6.762 years ] [ T = 1951 Nov. 16.11532 TT Epoch = 1951 Nov. 10.0 TT Peri. = 23.83222 e = 0.4126829 Node = 40.60750 (2000.0) a = 3.6558240 AU Inc. = 10.54388 n'= 0.14100229 q = 2.1471278 AU P = 6.990 years ] [ T = 1958 Nov. 18.03813 TT Epoch = 1958 Nov. 13.0 TT Peri. = 23.97312 e = 0.4112304 Node = 40.56994 (2000.0) a = 3.6638687 AU Inc. = 10.52842 n'= 0.14053815 q = 2.1571744 AU P = 7.013 years ] [ T = 1965 Nov. 15.63865 TT Epoch = 1965 Nov. 16.0 TT Peri. = 23.85098 e = 0.4127135 Node = 40.57177 (2000.0) a = 3.6583167 AU Inc. = 10.53518 n'= 0.14085820 q = 2.1484802 AU P = 6.997 years ] [ T = 1972 Nov. 6.04619 TT Epoch = 1972 Nov. 19.0 TT Peri. = 23.59996 e = 0.4134912 Node = 40.51956 (2000.0) a = 3.6543642 AU Inc. = 10.53515 n'= 0.14108678 q = 2.1433169 AU P = 6.986 years ] [ T = 1979 Nov. 2.00459 TT Epoch = 1979 Oct. 14.0 TT Peri. = 23.77162 e = 0.4142636 Node = 40.45167 (2000.0) a = 3.6486139 AU Inc. = 10.53761 n'= 0.14142045 q = 2.1371260 AU P = 6.969 years ] T = 1986 Dec. 26.56053 TT Epoch = 1987 Jan. 5.0 TT Peri. = 50.03610 e = 0.4239591 Node = 14.59857 (2000.0) a = 3.6838200 AU Inc. = 5.78477 n'= 0.13939798 q = 2.1220311 AU P = 7.070 years T = 1994 Jan. 28.25394 TT Epoch = 1994 Feb. 17.0 TT Peri. = 50.19429 e = 0.4222595 Node = 14.52690 (2000.0) a = 3.6925332 AU Inc. = 5.77684 n'= 0.13890487 q = 2.1333261 AU P = 7.096 years The predicted orbit for the 2008 return is as follows: T = 2008 Mar. 23.42448 TT Epoch = 2008 Apr. 4.0 TT Peri. = 49.85248 e = 0.4230454 Node = 14.47343 (2000.0) a = 3.6891744 AU Inc. = 5.77535 n'= 0.13909461 q = 2.1284862 AU P = 7.086 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 1890/ 931114 540 1.3+ 0.4- 000927 704 0.2- 0.7- 901117 045 (4.8+ 9.0+) 931114 540 0.4- 0.0 000927 704 0.2- 0.4- 901117 045 2.1+ 3.9+ 931114 897 0.3- 0.4- 000927 704 0.4- 0.4+ 901204 045 (3.0- 6.2-) 931114 897 1.7+ 0.8+ 000927 704 0.8- 0.4- 901204 045 1.0- 4.1- 931115 385 1.2+ 0.1- 000927 704 0.8- 0.6- 901204 045 (3.6- 7.3+) 931115 385 0.6+ 0.8- 000927 360 0.6- 0.2- 901206 035 (7.8- 2.3-) 931115 385 1.8+ 0.4+ 000927 360 0.9- 0.1- 901206 008(14.2- 0.4+) 931117 801 1.4+ 0.2- 001001 704 0.7- 0.2- 901207 020 0.4- 1.8- 931117 801 0.5+ 0.1+ 001001 704 0.4- 0.3+ 901207 662 2.9- 2.5+ 931117 691 0.0 0.3+ 001001 704 0.6- 0.0 901207 601 (7.6+ 6.3-) 931117 691 1.3- 0.8+ 001001 704 1.0- 0.2- 901207 045 (4.1+ 8.0-) 931117 691 0.5+ 0.2+ 001001 704 0.7- 0.1- 901207 045 0.4+ 3.3- 931118 372 0.2- 0.1- 001002 704 0.4- 0.3- 901208 662 2.2+ 2.2- 931118 372 0.4- 1.9+ 001002 704 0.9- 0.1+ 901208 522 1.2+ 4.8- 931118 360 0.9+ 0.7+ 001002 704 1.1- 0.9- 901208 045 (1.4- 5.9+) 931118 360 0.7+ 0.8+ 001002 704 1.4- 0.1+ 901209 662 3.9- 4.2- 931118 360 0.4+ 0.3+ 001003 704 0.9- 0.1- 901209 045 0.2+ 3.8+ 931122 786 0.6+ 0.2+ 001003 704 0.5- 0.0 901210 662 2.8+ 1.4- 931122 786 0.4+ 0.0 001003 704 0.6- 0.3- 901210 020 4.7- 2.1- 931122 786 0.3+ 0.7- 001003 704 1.1- 0.5- 901211 045 1.2- 2.8+ 931123 786 0.6- 0.5- 001003 704 0.5- 0.3- 901211 020 3.1- 0.9- 931123 786 0.5- 0.9- 001003 704 0.7- 0.3- 901212 662(60.9+ 47.8-) 931123 786 0.4- 0.6- 001003 704 0.7- 1.0- 901212 045 (0.4+ 6.6-) 931208 360 0.4- 0.4+ 001003 704 0.2- 0.1- 901212 522 2.9+ 1.6- 931208 360 0.7+ 0.4+ 001026 704 0.4+ 0.6+ 901213 045 (1.0- 5.5-) 931209 385 0.8+ 0.2- 001026 704 1.3+ 1.1- 901213 522 2.2+ 3.4- 931209 385 1.9+ 0.3- 001026 704 0.0 0.1+ 901215 662 1.6+ 1.7- 931209 385 1.1+ 0.6- 001026 704 1.1- 0.2- 901229 045 2.1- 2.6+ 931212 360 0.7- 0.5- 001030 704 0.4+ 0.3+ 901230 522 3.7+ 2.4- 931212 360 0.2- 0.1- 001030 704 0.6+ 0.8- 901231 045 (5.8+ 3.1+) 931212 360 0.1- 0.0 001030 704 0.4+ 0.1+ 1891/ 931212 372 0.7- 0.6- 001030 704 1.0+ 0.0 910101 045 (0.6- 24.7+) 931219 691 1.3+ 0.1+ 001102 704 0.2+ 1.2+ 910103 522(14.7+ 8.1-) 931219 691 0.9+ 0.2+ 001102 704 0.8+ 0.5+ 910106 045 0.1+ 5.1- 931219 691 (2.6+ 0.4+) 001102 704 0.6+ 0.0 910108 662 (8.2+ 5.4+) 1994/ 001102 704 0.7+ 0.3+ 910108 662 (8.2+ 3.0-) 940101 372 0.6+ 1.2- 001102 704 0.0 0.5- 910109 662 (7.1+ 10.5-) 940105 691 0.8- 0.3+ 001103 360 0.1- 0.0 910111 662 2.5- 2.2+ 940105 691 0.2+ 0.2+ 001103 360 0.1- 0.1- 910112 662 4.6+ 3.6+ 940105 691 0.2+ 0.2+ 001117 691 1.2+ 0.2+ 910113 662 0.4- 2.4+ 940109 360 0.0 0.6+ 001117 691 1.4+ 0.2+ 910127 045 4.8+ 1.9- 940109 360 0.4- 0.3- 001117 691 1.2+ 0.0 910204 045 (1.0- 12.9+) 940113 104 (9.4+ 2.8+) 001122 360 0.3+ 0.1- 1986/ 940113 104 (3.7- 1.7-) 001122 360 0.6+ 0.2- 860930 675 0.3- 1.5+ 940118 691 0.8+ 0.3+ 001204 341 (3.9+ 6.0+) 860930 675 1.1- 0.9- 940118 691 0.6+ 0.3+ 001204 341 (0.7+ 6.4+) 1993/ 940118 691 0.2+ 0.2+ 001215 402 0.2- 0.6+ 931009 374 (8.7- 1.6-)Y 940130 587 (2.6+ 1.7+) 001215 402 0.8+ 0.0 931019 675 1.9+ 0.2- 940130 587 0.8+ 1.0+ 001215 402 2.1+ 1.2+ 931019 675 2.2- 1.6+ 940130 587 2.0- 0.0 001220 699 (3.3+ 1.6+) 931021 675 0.9- 1.8+ 940211 691 2.0- 0.5- 001220 699 (3.1+ 0.4+) 931021 675 (2.5- 1.2+) 940211 691 1.0- 0.3- 001220 699 (2.8+ 0.8+) 931024 691 1.1- 0.8+ 940211 691 1.6- 0.3- 001220 704 0.1+ 0.0 931024 691 1.2- 1.0+ 940318 691 1.6- 0.0 001220 704 1.3+ 0.1+ 931024 691 1.0- 0.3+ 940318 691 0.7- 0.2+ 001220 699 2.0+ 1.8+ 931026 693 0.9- 0.5+ 940318 691 1.3- 0.2- 001220 704 0.9+ 0.5- 931026 693 0.8- 0.3+ 940405 691 1.2- 0.0 001220 704 1.6+ 0.2+ 931027 693 1.7- 0.1+ 940405 691 1.3- 0.4+ 001220 704 1.3+ 0.1+ 931027 693 1.8- 0.2+ 940405 691 0.8- 0.3+ 001222 699 (2.7+ 1.8+) 931103 385 1.2- 0.9- 2000/ 001222 725 0.6+ 0.1- 931103 385 2.1- 0.6- 000825 691 0.3+ 0.7- 001222 699 (2.3+ 0.8+) 931103 385 0.9- 0.7- 000825 691 0.2+ 2.0- 001222 725 1.0+ 0.0 931105 385 0.3- 0.4- 000825 691 0.7- 1.1- 001222 699 1.2+ 0.3+ 931105 385 0.1+ 0.3- 000903 402 1.4- 0.8- 001222 725 0.0 0.4- 931109 372 0.3- 0.3+ 000903 402 1.5- 1.0- 001222 699 (3.2+ 1.5+) 931109 372 (2.3- 0.4+) 000903 402 1.3- 1.4- 001227 360 0.7+ 0.4+ 931110 540 1.0- 1.2+ 000921 691 0.3- 0.1- 001227 360 0.3+ 0.0 931110 540 1.2+ 1.0+ 000921 691 0.4- 0.4- 001228 704 0.4- 1.9- 931111 801 1.2+ 0.5+ 000921 691 0.6- 0.3- 001228 704 1.7+ 0.3+ 931111 801 0.7+ 0.7+ 000924 049 0.4+ 0.4+ 001228 704 0.8+ 0.7+ 931111 477 0.6- 0.1- 000924 049 0.9+ 0.6+ 001228 704 1.8+ 2.0+ 931113 801 0.8+ 0.5+ 000924 049 1.0+ 0.4+ 2001/ 931113 801 0.3+ 0.1+ 000924 704 1.0- 0.6- 010119 704 1.5+ 1.1+ 931113 540 1.5+ 0.9- 000924 704 1.2- 0.0 010119 704 0.4+ 0.6+ 931113 540 0.6+ 0.5- 000924 704 0.1- 0.1- 010119 704 1.9+ 1.5+ 931113 540 0.1- 0.5+ 000924 704 1.4- 0.1- 010119 704 1.6+ 1.8+ 931113 540 1.6+ 0.7- 000924 704 0.8- 0.4+ ( ) -------- Rejected Obs.

Director, Computing Section Syuichi Nakano 2005 June 16

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