OAA computing section circular NK 1207 7P/Pons-Winnecke

The following improved orbital elements, by S. Nakano, are from 162 observations 1964 to 2004, 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 +/- 0.88 arc second. See a previous orbit in NK 695. Epoch = 2002 May 6.0 TT T = 2002 May 15.72016 +/- 0.00007 (m.e.) TT Peri. = 172.29269 +/- 0.00006 Node = 93.45000 +/- 0.00005 (2000.0) Inc. = 22.28473 +/- 0.00002 q = 1.2581449 +/- 0.0000004 AU e = 0.6340781 +/- 0.0000001 a = 3.4382882 +/- 0.0000004 AU n' = 0.15459330 +/- 0.00000003 P = 6.375 +/- 0.0000012 years A1 = +0.013 +/- 0.003 A2 = +0.00216 +/- 0.00003 T = 1964 Mar. 24.55002 TT Epoch = 1964 Mar. 26.0 TT Peri. = 172.04633 e = 0.6393874 Node = 93.56076 (2000.0) a = 3.4112027 AU Inc. = 22.32498 n'= 0.15643819 q = 1.2301227 AU P = 6.300 years T = 1970 July 21.03184 TT Epoch = 1970 Aug. 2.0 TT Peri. = 172.26260 e = 0.6360054 Node = 93.46797 (2000.0) a = 3.4268592 AU Inc. = 22.32163 n'= 0.15536732 q = 1.2473581 AU P = 6.344 years T = 1976 Nov. 28.74388 TT Epoch = 1976 Dec. 8.0 TT Peri. = 172.37844 e = 0.6347059 Node = 93.42684 (2000.0) a = 3.4334048 AU Inc. = 22.29317 n'= 0.15492324 q = 1.2542026 AU P = 6.362 years T = 1983 Apr. 7.50789 TT Epoch = 1983 Apr. 16.0 TT Peri. = 172.33645 e = 0.6347161 Node = 93.43068 (2000.0) a = 3.4329046 AU Inc. = 22.30702 n'= 0.15495709 q = 1.2539848 AU P = 6.361 years T = 1989 Aug. 19.89691 TT Epoch = 1989 Aug. 22.0 TT Peri. = 172.33837 e = 0.6335133 Node = 93.43153 (2000.0) a = 3.4406693 AU Inc. = 22.27209 n'= 0.15443284 q = 1.2609596 AU P = 6.382 years T = 1996 Jan. 2.45202 TT Epoch = 1995 Dec. 29.0 TT Peri. = 172.31374 e = 0.6344257 Node = 93.42769 (2000.0) a = 3.4353810 AU Inc. = 22.30137 n'= 0.15478957 q = 1.2558871 AU P = 6.367 years The predicted orbit for the 2008 return is as follows: T = 2008 Sept.26.63435 TT Epoch = 2008 Sept.11.0 TT Peri. = 172.32920 e = 0.6349008 Node = 93.42298 (2000.0) a = 3.4326706 AU Inc. = 22.31022 n'= 0.15497294 q = 1.2532654 AU P = 6.360 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 1964/ 960921 691 0.9- 0.3+ 020606 349 0.1- 0.8+ 640219 689 0.7+ 0.3- 960921 691 0.9- 0.4+ 020608 696 0.3+ 0.6- 640314 689 0.3- 0.7+ 961119 691 0.3+ 0.1- 020608 696 0.3+ 0.3- 640315 689 0.8- 0.4+ 961119 691 0.2+ 0.2+ 020609 360 0.3+ 0.2+ 640321 689 0.6- 0.8- 2002/ 020609 360 0.6+ 0.2+ 640411 689 0.7+ 1.7+ 020111 461 0.2+ 0.7+ 020613 921 (2.0+ 2.4-) 640412 689 1.8- 2.2+ 020111 461 1.3+ 0.8+ 020616 844 0.5+ 0.2- 640716 689 0.8- 0.8+ 020111 461 1.2+ 0.6+ 020616 844 0.7+ 0.1- 640806 689 1.2- 1.8- 020119 867 0.5+ 0.9+ 020616 844 0.5+ 0.2- 640815 689 1.0+ 1.4- 020119 867 0.9+ 0.5+ 020618 340 1.6+ 1.4- 640904 689 0.5- 1.1+ 020119 867 0.3+ 0.5+ 020618 340 1.0+ 0.1+ 640904 689 0.2+ 0.2+ 020124 360 0.2- 0.4+ 020618 340 (1.1+ 2.1-) 641008 689 1.4+ 0.3- 020124 360 0.8- 0.0 020618 340 2.0+ 0.1- 641008 689 0.1- 0.8- 020125 170 (7.3+ 0.8-) 020707 349 0.6+ 0.1+ 1970/ 020125 170 0.3+ 0.6- 020707 349 0.7+ 0.5- 700203 691(22.3+ 47.6+)X 020125 170 0.8+ 1.9- 020707 349 1.2+ 0.7- 700307 691 (5.1+ 0.5+) 020212 204 0.2- 0.4+ 020710 844 0.6- 0.1+ 700313 691 2.7+ 0.1- 020223 170 1.1+ 0.0 020710 844 0.6- 0.9+ 700313 691 2.8+ 0.5- 020224 360 0.4+ 0.4- 020710 844 0.0 0.8+ 700508 691 (6.6+ 0.8-) 020224 360 0.3+ 0.0 020712 170 0.6- 1.6- 700508 691 (6.5+ 1.2-) 020306 349 1.6- 2.0- 020712 170 0.4- 0.9- 700607 693 (7.5+ 1.2-) 020306 349 0.5- 2.0- 020712 170 1.4- 0.1+ 700607 693 (7.8+ 1.5-) 020306 349 0.1+ 1.2- 020714 349 1.3- 0.7+ 700706 693 (6.8+ 1.1-) 020310 232 0.4- 0.6+ 020714 349 1.2- 1.1+ 700822 323 (3.8+ 1.3-) 020311 360 0.3- 0.1+ 020714 349 0.3- 0.5+ 700822 323 0.2- 1.3+ 020311 360 0.1- 0.0 020714 349 0.4- 1.2+ 701101 693 0.5+ 1.6+ 020321 170 0.0 1.8- 020714 349 0.5- 1.0+ 701101 693 0.1+ 1.0+ 020321 170 0.3- 1.1- 020720 349 (2.2+ 0.1+) 1976/ 020323 213 1.1- 0.5- 020720 349 1.5+ 0.1+ 760325 691 0.6+ 0.2+ 020323 213 0.3- 0.1+ 020720 349 1.3+ 1.3+ 760325 691 0.9+ 0.2+ 020323 213 0.2+ 1.1- 020804 844 1.1- 0.6+ 1983/ 020327 342 0.7- 1.8+ 020804 844 1.0+ 1.3- 830112 707 (3.7- 3.0-) 020327 342 1.3+ 1.0+ 020804 844 1.1+ 0.4- 830114 372 (4.6- 3.4+)Y 020420 170 1.7- 0.9+ 020804 844 0.6+ 0.2- 830119 707 1.4+ 2.4- 020420 170 0.0 0.1+ 020808 349 1.6+ 0.2- 830120 372 0.4+ 0.6+ 020421 232 0.7+ 0.2- 020808 349 0.1- 1.0- 830120 372 (3.3- 0.0 )Y 020421 232 (2.8+ 0.9+) 020808 349 0.6+ 0.7+ 830416 474 0.0 1.0- 020501 939 0.5- 0.5+ 020819 433 (1.9- 3.4+) 830522 474 0.0 1.5- 020501 939 0.1+ 0.3+ 020819 433 (1.5- 3.3+) 830522 474 1.8- 0.4- 020501 939 0.8+ 0.3- 020819 433 (1.5- 3.5+) 830905 707 1.7- 1.4+ 020513 921 0.7- 0.4+ 020819 433 (1.5- 3.5+) 831006 413 (6.5- 5.2+) 020513 921 0.3- 0.9- 020819 433 (1.2- 3.5+) 831006 413 (0.1+ 3.4+) 020513 921 (1.3+ 2.2-) 020819 433 (1.3- 3.1+) 1989/ 020513 921 (1.1+ 2.3-) 020819 433 (1.0- 2.8+) 890117 675 0.3- 0.6+ 020513 921 2.0- 0.7- 020820 433 (1.4- 3.5+) 890117 675 0.5- 0.6+ 020519 170 0.0 0.4+ 020820 433 (1.0- 3.3+) 890117 675 0.4- 0.4+ 020520 360 0.3+ 0.0 020820 433 (1.3- 3.6+) 890117 675 0.5- 0.3+ 020520 360 0.1+ 0.0 020829 433 (0.9- 3.1+) 890118 675 0.4- 0.8+ 020521 349 0.1- 0.2+ 020829 433 (1.8- 3.5+) 890118 675 0.6- 0.9+ 020521 349 0.6- 0.4+ 020829 433 (1.7- 3.6+) 890118 675 0.1- 0.9+ 020521 349 0.6+ 0.4+ 020829 433 (1.4- 3.3+) 890118 675 0.7- 1.1+ 020521 349 0.3- 0.4+ 020829 433 (1.7- 3.4+) 891003 675 (0.4- 4.9-) 020524 349 1.0- 0.8+ 020829 433 (1.8- 3.3+) 891003 675 (2.0- 5.0-) 020524 349 0.3- 0.5+ 020829 433 (2.0- 3.8+) 1994/ 020524 349 0.9- 1.4+ 020829 433 (2.1- 3.9+) 941231 693 0.2- 1.1+ 020524 349 0.5+ 0.9+ 020928 844 0.7- 1.0+ 941231 693 0.1- 1.1+ 020525 232 1.0+ 0.2+ 020928 844 (2.9- 0.4+) 941231 691 0.2- 0.6+ 020528 333 1.2- 0.6+ 021106 360 0.1- 0.7+ 941231 693 0.3- 1.7+ 020528 333 0.3+ 0.3- 021106 360 0.3+ 1.2+ 941231 691 0.2- 1.2+ 020528 333 0.3- 0.4+ 021106 360 0.0 0.8+ 941231 691 0.2+ 0.9+ 020529 619 (2.3- 0.7-) 021127 699 0.4- 1.5+ 941231 691 0.0 1.3+ 020529 619 0.6- 1.3+ 021127 699 1.7- 1.6+ 1995/ 020529 619 1.5+ 1.0+ 021127 699 1.1- 0.9+ 950107 691 1.1+ 0.7+ 020604 349 1.1- 0.3+ 021127 699 (0.5- 3.7+) 950107 691 0.5+ 1.2+ 020604 349 0.1+ 0.9+ 2004/ 950107 691 0.6+ 1.9+ 020604 349 1.1- 1.2+ 040121 809 0.5+ 0.3+ 950128 691 1.7- 1.1+ 020605 340 1.1- 0.1+ 040121 809 0.3+ 0.4+ 950128 691 1.6- 1.3+ 020605 340 0.2+ 0.4- 040121 809 0.4+ 0.6+ 950128 691 1.7- 1.2+ 020605 340 0.2- 0.5- 040122 809 0.5+ 0.5+ 1996/ 020605 340 0.1+ 0.4+ 040122 809 0.4+ 0.7+ 960726 360 (2.9- 1.0+) 020606 349 0.0 0.5+ 040122 809 0.4+ 0.4+ 960726 360 1.5- 0.4+ 020606 349 0.6+ 0.7+ 960726 360 (3.3- 2.3+) 020606 349 0.0 0.4+ ( ) -------- Rejected Obs.

Director, Computing Section Syuichi Nakano 2005 July 20

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