OAA computing section circular NK 1326 107P/Wilson-Harrington

The following improved orbital elements, by S. Nakano, are from 261 observations 1949 to 2006. Perturbations by Mercury to Neptune and three minor planets, Ceres, Pallas and Vesta, were taken into account. The mean residual is +/- 0.64 arc second. See previous orbits in NK 672 and NK 848 (= HICQ 2005). Epoch = 2005 July 9.0 TT T = 2005 July 10.72685 +/- 0.00002 (m.e.) TT Peri. = 91.28079 +/- 0.00013 Node = 270.57368 +/- 0.00013 (2000.0) Inc. = 2.78533 +/- 0.00001 q = 0.9929462 +/- 0.0000001 AU e = 0.6237139 +/- 0.0000001 a = 2.6388065 +/- 0.0000002 AU n' = 0.22992847 +/- 0.00000003 P = 4.287 +/- 0.0000005 years T = 1949 Oct. 8.07961 TT Epoch = 1949 Oct. 11.0 TT Peri. = 81.07239 e = 0.6201014 Node = 279.99534 (2000.0) a = 2.6426566 AU Inc. = 2.81024 n'= 0.22942618 q = 1.0039416 AU P = 4.296 years [ T = 1954 Jan. 26.64102 TT Epoch = 1954 Jan. 18.0 TT Peri. = 81.34641 e = 0.6197908 Node = 279.80271 (2000.0) a = 2.6440132 AU Inc. = 2.80903 n'= 0.22924963 q = 1.0052783 AU P = 4.299 years ] [ T = 1958 May 13.00111 TT Epoch = 1958 Apr. 27.0 TT Peri. = 81.87068 e = 0.6234537 Node = 279.26051 (2000.0) a = 2.6368683 AU Inc. = 2.80851 n'= 0.23018203 q = 0.9929030 AU P = 4.282 years ] [ T = 1962 Aug. 22.56281 TT Epoch = 1962 Aug. 4.0 TT Peri. = 81.82143 e = 0.6241785 Node = 279.26568 (2000.0) a = 2.6356837 AU Inc. = 2.80910 n'= 0.23033723 q = 0.9905466 AU P = 4.279 years ] [ T = 1966 Dec. 3.72235 TT Epoch = 1966 Dec. 21.0 TT Peri. = 81.95015 e = 0.6232930 Node = 279.16772 (2000.0) a = 2.6373641 AU Inc. = 2.80740 n'= 0.23011712 q = 0.9935134 AU P = 4.283 years ] [ T = 1971 Mar. 27.00067 TT Epoch = 1971 Mar. 30.0 TT Peri. = 89.07284 e = 0.6273344 Node = 272.76330 (2000.0) a = 2.6304213 AU Inc. = 2.78541 n'= 0.23102879 q = 0.9802676 AU P = 4.266 years ] [ T = 1975 July 1.53398 TT Epoch = 1975 July 7.0 TT Peri. = 89.13103 e = 0.6282439 Node = 272.70961 (2000.0) a = 2.6286818 AU Inc. = 2.78650 n'= 0.23125816 q = 0.9772285 AU P = 4.262 years ] T = 1979 Oct. 5.52782 TT Epoch = 1979 Oct. 14.0 TT Peri. = 89.16283 e = 0.6276297 Node = 272.65469 (2000.0) a = 2.6314579 AU Inc. = 2.78532 n'= 0.23089229 q = 0.9798768 AU P = 4.269 years [ T = 1984 Jan. 20.15293 TT Epoch = 1984 Jan. 21.0 TT Peri. = 90.78943 e = 0.6222727 Node = 271.17187 (2000.0) a = 2.6428783 AU Inc. = 2.78461 n'= 0.22939731 q = 0.9982873 AU P = 4.297 years ] T = 1988 May 7.92290 TT Epoch = 1988 Apr. 29.0 TT Peri. = 90.94198 e = 0.6228324 Node = 271.06413 (2000.0) a = 2.6414053 AU Inc. = 2.78572 n'= 0.22958922 q = 0.9962525 AU P = 4.293 years T = 1992 Aug. 21.73963 TT Epoch = 1992 Aug. 6.0 TT Peri. = 90.87073 e = 0.6227938 Node = 271.06413 (2000.0) a = 2.6414986 AU Inc. = 2.78596 n'= 0.22957706 q = 0.9963896 AU P = 4.293 years T = 1996 Dec. 6.33111 TT Epoch = 1996 Dec. 23.0 TT Peri. = 90.88936 e = 0.6215679 Node = 270.96368 (2000.0) a = 2.6433062 AU Inc. = 2.78400 n'= 0.22934161 q = 1.0003118 AU P = 4.298 years T = 2001 Mar. 26.63407 TT Epoch = 2001 Apr. 1.0 TT Peri. = 91.09072 e = 0.6214187 Node = 270.82721 (2000.0) a = 2.6434264 AU Inc. = 2.78411 n'= 0.22932597 q = 1.0007517 AU P = 4.298 years The predicted orbit for the 2009 return is as follows: T = 2009 Oct. 22.03955 TT Epoch = 2009 Oct. 16.0 TT Peri. = 91.24498 e = 0.6243283 Node = 270.55288 (2000.0) a = 2.6382420 AU Inc. = 2.78537 n'= 0.23000227 q = 0.9911130 AU P = 4.285 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 1949/ 920930 801 0.4+ 0.2+ 050519 G96 0.2+ 0.3+ 491119 675 (4.5- 1.7-) 921017 711 0.2+ 0.0 050521 G96 0.6+ 0.4+ 491119 675 (4.9- 2.5-) 921023 801 0.3- 0.0 050521 G96 0.5+ 0.4+ 491119 675 (6.4- 2.4-) 921023 801 0.2- 0.5+ 050521 G96 0.3+ 0.3+ 491119 675 (5.3- 2.4-) 921025 360 0.1- 0.1+ 050521 G96 0.7+ 0.7+ 491121 675 0.4- 1.2- 921025 360 0.1- 0.3+ 050809 H06 0.4- 0.4+ 491121 675 (3.5- 0.5-) 921025 360 0.1- 0.7+ 050809 H06 0.6- 0.1- 491121 675 1.8+ 1.5- 921028 801 0.6- 0.3+ 050930 G96 0.2- 0.0 491121 675 0.9+ 1.2+ 921028 801 0.5- 0.0 050930 G96 0.3+ 0.2- 491122 675 (4.4- 1.2-) 921128 801 0.2+ 0.2- 050930 G96 0.3- 0.0 491125 675 1.1- 0.4+ 921128 801 0.2+ 0.1- 050930 G96 0.3+ 0.2- 491125 675 (6.1- 0.7-) 921129 801 0.5+ 0.3- 051012 704 0.9+ 0.3+ 1979/ 921129 801 0.1+ 0.1- 051012 704 0.0 0.4- 790615 413 0.6- 0.2+ 921130 691 0.0 0.3+ 051012 704 0.5+ 0.2+ 790615 413(12.5+ 1.5+) 921130 691 0.1+ 0.1+ 051031 215 0.3- 1.5+ 790811 413 0.2- 1.4+ 921130 691 0.1+ 0.1- 051031 215 0.3- 0.5+ 790811 413 (2.8+ 3.9-) 921203 658 1.3- 0.2- 051031 215 0.3- 0.2- 790814 413 (1.0+ 2.4+) 921203 658 1.3- 0.1- 051101 704 0.2+ 0.6- 790814 413 0.7+ 1.0- 921203 658 1.2- 0.1- 051101 704 0.3- 0.5- 790815 413 0.7- 0.3+ 921221 801 0.1+ 0.2- 051101 704 0.4+ 0.6+ 790815 413 0.6- 1.9- 921221 801 0.3+ 0.2- 051106 704 (2.0+ 1.3+) 791115 675 1.1- 0.7- 921224 801 0.1+ 0.3- 051106 704 0.1+ 0.9+ 791115 675 1.2- 1.0+ 921224 801 0.2+ 0.3- 051106 704 0.9+ 0.3+ 791115 675 0.7+ 0.2+ 921230 711 (1.2+ 6.9+) 051120 644 0.7- 0.1- 791116 675 0.0 1.0+ 1993/ 051120 644 0.0 0.1+ 791116 688 (1.5+ 2.4-) 930120 711 0.2+ 0.3+ 051120 644 0.1+ 0.1- 791116 675 0.5+ 0.7- 1996/ 051225 699 0.0 0.1- 791116 662 0.6+ 0.8+ 960423 381 0.9- 0.1+ 051225 699 0.2+ 0.0 791116 662 0.2- 1.0+ 960423 381 1.0- 0.1+ 051225 699 0.1+ 0.3- 791116 675 (3.1+ 0.3+) 960423 381 1.1- 0.2+ 051225 699 (0.2+ 2.1+) 791116 801 1.1- 0.1- 960424 381 1.2- 0.5+ 051228 704 0.2- 0.6+ 791116 801 (3.9+ 1.9+) 960424 381 1.3- 1.7+ 051228 704 0.0 0.3- 791117 801 0.9+ 0.6- 960425 381 0.9- 0.1+ 051228 704 0.2+ 0.5- 791117 801 0.7+ 0.6- 960425 381 1.0- 0.3+ 051228 704 1.8+ 0.1- 791117 688 0.3- 1.7- 960512 360 1.5- 0.6- 051228 704 0.0 0.8+ 791117 010 0.5- 0.6+ 960512 360 1.3- 0.8- 2006/ 791117 010 1.2+ 0.4+ 960512 360 0.7- 0.5- 060106 G96 0.0 0.4- 791117 010 (3.4+ 4.5+) 960516 695 0.2+ 0.2- 060106 G96 0.2+ 0.1- 791118 323 0.0 0.3- 960516 695 0.3+ 0.1- 060106 G96 0.2+ 0.2- 791118 330 0.4- 0.1+ 960516 695 0.3+ 0.2- 060106 G96 0.4+ 0.0 791118 330 0.8+ 0.4- 960522 360 0.5+ 0.1- 060109 703 0.1+ 0.2- 791118 494 0.2- 0.3+ 960522 360 0.9+ 0.0 060109 703 0.4- 0.4+ 791118 494 1.1- 1.3- 960528 413 0.8+ 1.0- 060109 703 0.4+ 0.4+ 791118 494 0.6+ 1.0- 960528 413 0.4+ 0.6- 060109 703 1.2- 0.7+ 791119 372 (2.1- 1.6+) 960612 566 0.8+ 0.2- 060118 703 1.6- 0.0 791119 372 0.6- 0.1- 960612 566 0.7+ 0.0 060118 703 0.3+ 0.5- 791121 674 1.8- 0.3+ 960612 566 1.5+ 0.7- 060120 699 0.6+ 0.3+ 791122 688 (0.2+ 2.5-) 960615 360 0.6+ 0.7- 060120 699 (2.0+ 0.4+) 791122 688 0.1+ 0.8- 960615 360 0.3+ 0.9- 060120 699 0.6- 0.4+ 791122 801 (4.1- 0.8+) 960618 691 0.3- 0.2- 060121 699 0.6+ 0.1- 791123 484 (2.4- 3.2-) 960618 691 0.1+ 0.5- 060121 699 0.4+ 0.3- 791123 484 1.5- 1.8- 960618 691 0.1- 0.9- 060121 699 0.0 0.0 791123 372 0.7+ 0.5- 960626 696 0.3- 0.4- 060122 699 0.2+ 0.2- 791123 372 0.5+ 0.7- 960626 696 0.1- 0.2- 060122 699 0.5- 1.1+ 791123 494 (3.6- 1.4+) 960626 696 0.3+ 0.5- 060122 699 1.3+ 0.2+ 791123 494 1.7+ 0.5+ 960711 421 0.4+ 1.0+ 060122 670 0.2- 0.8+ 791124 675 0.5+ 0.5+ 960711 421 0.4- 1.3+ 060122 699 1.0+ 1.2+ 791124 675 1.3+ 0.7+ 960711 421 1.3- 1.5+ 060122 670 (0.1- 2.2-) 791128 801 (0.2- 3.3-) 960718 413 0.2+ 0.6- 060123 G96 0.1+ 0.2- 791129 372 0.4+ 0.9- 960718 413 0.2+ 0.5- 060123 G96 0.1+ 0.1- 791129 372 0.1+ 0.4+ 960817 568 0.5- 0.7- 060123 G96 0.3- 1.1- 791207 688 (0.7+ 2.4-) 960817 568 1.2+ 0.7- 060123 G96 0.3+ 0.0 791211 801 0.2- 1.6+ 1997/ 060123 G96 0.4- 0.9- 791211 043 1.2+ 1.3+ 970112 360 0.4- 0.5- 060123 G96 0.1+ 0.1+ 791212 675 0.3- 1.2+ 970112 360 0.5- 0.3- 060123 G96 0.1- 0.7- 791214 675 0.3+ 1.0+ 971230 568 0.5- 0.3+ 060124 691 0.2+ 0.2- 791215 688 (1.1+ 2.5-) 2000/ 060124 691 0.2+ 0.1- 791216 879 1.4- 0.3- 000503 673 0.3- 0.6- 060124 691 0.2+ 0.2- 791216 879 1.2+ 0.5- 000503 673 0.5- 0.6- 060124 704 0.7+ 0.4+ 791217 688 1.0+ 1.9- 000503 673 0.2- 0.3- 060124 704 0.2- 0.1+ 791218 801 0.3- 0.2- 2002/ 060124 704 0.3+ 0.2+ 791218 688 (1.1+ 3.1-) 020118 644 0.1- 0.2- 060124 704 0.9+ 0.2+ 791218 043 1.2- 0.4+ 020119 691 0.3+ 0.5- 060124 704 0.2+ 0.1+ 791219 688 (0.7- 4.4-) 020119 691 0.2+ 0.3- 060127 704 0.5+ 1.8+ 1980/ 020119 691 0.3+ 0.6- 060127 704 0.1- 0.4- 800114 801 0.8+ 1.8+ 020119 867 0.7- 0.1- 060127 704 0.7+ 0.6+ 800211 801 1.3+ 1.0+ 020119 867 0.8+ 0.3- 060127 704 1.2+ 0.9+ 1988/ 020119 867 0.6+ 0.7- 060202 703 0.5- 0.5- 881220 675 0.1+ 0.1+ 020126 644 0.3+ 0.1+ 060202 703 0.1+ 1.1- 881220 675 0.0 0.2+ 020205 644 0.5- 0.1- 060202 703 0.8- 0.6- 881220 675 0.1+ 0.2+ 020206 644 0.6- 0.2+ 060202 703 0.2- 0.8- 881224 675 1.6- 1.0+ 020211 704 0.1+ 0.0 060203 699 0.3+ 0.9+ 881224 675 0.0 0.0 020211 704 1.1- 0.7+ 060203 699 0.2+ 0.8+ 881224 675 0.2+ 0.0 020211 704 0.3- 1.3+ 060203 699 0.2- 0.1+ 1989/ 020211 704 0.9+ 0.2- 060203 699 0.4- 0.2- 890206 413 0.8- 0.4+ 020211 704 0.6+ 0.1+ 060204 704 0.2- 0.6+ 890206 413 1.0- 0.9- 020216 644 0.2+ 0.2+ 060204 704 0.7+ 0.1- 1992/ 2004/ 060204 704 0.0 0.0 920611 711 0.2+ 0.3- 040618 950 0.4+ 0.1- 060204 704 1.3+ 0.3- 920629 801 0.3+ 0.3+ 040618 950 0.5+ 0.1- 060206 704 0.6- 0.4- 920629 801 0.3+ 0.1+ 040618 950 0.5+ 0.1- 060206 704 0.8- 0.3- 920726 801 0.1- 0.2+ 040619 950 0.4+ 0.2- 060206 704 1.5- 0.6- 920726 801 0.5+ 0.5+ 040619 950 0.3+ 0.2- 060206 704 1.0- 1.4- 920802 801 0.4+ 0.8+ 2005/ 060221 699 0.7+ 0.6- 920802 801 0.0 0.5+ 050514 691 0.1+ 0.6+ 060221 699 1.2+ 0.0 920808 688 0.6- 0.5+ 050514 691 0.1+ 0.8+ 060221 699 0.1- 0.0 920808 688 0.7- 0.6+ 050514 691 0.4+ 0.4+ 060221 699 0.4- 0.2- 920824 801 0.5- 0.1- 050518 E12 0.1- 0.6+ 060224 G96 0.2- 0.1- 920824 801 (3.5+ 1.1+) 050518 E12 0.7+ 0.8+ 060224 G96 0.2- 0.1- 920829 372 (2.5+ 0.3+) 050518 E12 1.3- 0.2+ 060224 G96 0.2- 0.3- 920925 801 0.4+ 0.0 050518 E12 0.3+ 0.2+ 060224 G96 0.2- 0.0 920925 801 0.1+ 0.2+ 050519 G96 0.1+ 0.4+ 920930 801 (2.1+ 0.9-) 050519 G96 0.1- 0.4+ ( ) -------- Rejected Obs.

Director, Computing Section Syuichi Nakano 2006 Apr. 12

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