OAA computing section circular NK 1458 141P/Machholz 2 - A
The following improved orbital elements, by S. Nakano, are from 261 observations 1994 October to 2005, 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 +/- 0.85 arc second. See previous orbits for Nucleus A in NK 725, NK 842A, NK 1173 and also for Nucleus B in NK 726 and NK 842D. Epoch = 2005 Mar. 11.0 TT T = 2005 Feb. 28.24843 +/- 0.00011 (m.e.) TT Peri. = 149.28403 +/- 0.00016 Node = 246.16136 +/- 0.00007 (2000.0) Inc. = 12.79525 +/- 0.00002 q = 0.7528461 +/- 0.0000003 AU e = 0.7501374 +/- 0.0000003 a = 3.0130403 +/- 0.0000011 AU n' = 0.18845022 +/- 0.00000010 P = 5.230 +/- 0.0000029 years A1 = -0.252 +/- 0.019 A2 = +0.01021 +/- 0.00006 T = 1994 Sept.18.80206 TT Epoch = 1994 Sept. 5.0 TT Peri. = 149.25639 e = 0.7502327 Node = 246.17984 (2000.0) a = 3.0129143 AU Inc. = 12.78680 n'= 0.18846204 q = 0.7525276 AU P = 5.230 years T = 1999 Dec. 9.27498 TT Epoch = 1999 Dec. 8.0 TT Peri. = 149.30235 e = 0.7511078 Node = 246.13608 (2000.0) a = 3.0090657 AU Inc. = 12.81123 n'= 0.18882373 q = 0.7489329 AU P = 5.220 years The predicted orbit for the 2010 return is as follows: T = 2010 May 24.48925 TT Epoch = 2010 June 13.0 TT Peri. = 149.37029 e = 0.7489009 Node = 246.08555 (2000.0) a = 3.0178769 AU Inc. = 12.80247 n'= 0.18799737 q = 0.7577863 AU P = 5.243 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 1994/ 991105 402 0.1- 1.2- 991225 900 2.1- 0.0 941002 372 1.4- 1.1+ 991105 402 1.6+ 1.6- 991226 347 0.8- 0.6+ 941005 557 1.7- 0.2- 991105 402 0.7+ 1.9- 991226 347 0.5- 0.8+ 941005 046 1.5- 0.4- 991107 402 0.4+ 0.9+ 991226 347 0.6- 0.6- 941005 046 1.2- 0.5- 991107 402 (2.5+ 1.3+) 991226 347 0.9+ 0.5+ 941005 557 1.6- 0.3- 991107 402 0.7- 1.9- 991227 360 1.2- 0.4- 941005 046 (2.2- 0.7+) 991107 402 0.6- 1.3- 991227 360 0.8- 0.3+ 941005 557 1.5- 0.3- 991119 402 0.3+ 0.7+ 991227 897 (2.4- 0.4-) 941007 046 1.2- 0.4+ 991119 402 1.9+ 0.9+ 991227 897 (3.3- 0.8-) 941007 046 1.3- 0.0 991119 402 0.5- 1.1- 991227 372 1.3- 0.4+ 941007 046 1.3- 0.1+ 991119 402 0.6+ 1.0- 991227 897 0.3- 1.2- 941007 046 1.3- 0.4+ 991126 046 0.0 0.8+ 991228 351 1.3- 2.0- 941007 557 1.0- 0.2+ 991126 046 0.3+ 0.1+ 991228 351 (1.2- 2.8+) 941007 046 0.9- 0.0 991126 046 0.8+ 0.1- 991229 372 0.9- 0.1+ 941007 557 0.8- 0.2+ 991126 046 1.3+ 0.7+ 991229 372 0.2- 0.2- 941007 557 1.2- 0.4+ 991126 046 0.4+ 0.2- 991230 349 0.9+ 1.7- 941007 557 1.3- 0.3+ 991126 046 0.5- 0.6+ 991230 349 1.4+ 0.4- 941007 675 0.7+ 1.2+ 991126 046 0.5- 0.5+ 991230 349 1.7+ 1.1- 941007 675 0.8+ 1.0- 991126 046 0.6- 0.8- 991230 349 0.3- 0.3- 941010 675 (4.0+ 0.6-) 991126 046 0.1- 0.2- 991231 461 0.1- 0.4+ 941010 675 0.9- 0.3+ 991126 046 1.8+ 0.6- 991231 461 0.2- 0.2+ 941010 397 (3.2- 1.1+) 991127 046 0.3- 0.6- 991231 461 0.2- 0.6+ 941010 397 1.8+ 0.9+ 991127 046 1.8+ 1.6+ 2000/ 941010 397 (1.9- 2.8+) 991127 046 1.0+ 1.5+ 000103 900 1.4- 0.3+ 941011 557 0.9- 0.3+ 991127 046 0.0 1.2+ 000103 900 0.0 1.6- 941011 557 0.7- 0.0 991128 897 0.2+ 0.8- 000103 587 0.6- 0.4+ 941012 046 1.2- 0.5+ 991128 897 (2.3- 2.9-) 000103 587 0.5- 0.0 941012 046 (6.5- 0.9+) 991129 897 2.0+ 0.9+ 000103 587 0.2- 0.1- 941012 046 0.6- 1.2+ 991129 046 0.4+ 0.6+ 000104 347 (2.5- 2.5-) 941012 046 1.3- 0.0 991129 046 0.7- 0.4+ 000104 347 (3.3- 2.0-) 941013 372 1.1- 0.0 991129 046 0.4+ 0.8+ 000104 347 (4.5- 1.4-) 941013 372 (2.7- 0.4-) 991129 046 0.5+ 0.2- 000104 347 (1.5- 3.0-) 941014 897 0.8+ 1.9+ 991129 046 0.4- 0.4+ 000105 046 0.1- 0.6+ 941014 410 0.3- 1.1+ 991130 360 0.4- 0.4+ 000105 046 0.4+ 0.6+ 941014 410 0.8+ 0.2+ 991130 360 0.6- 0.1+ 000105 046 0.5- 0.2- 941014 410 0.5- 1.0+ 991130 360 0.7- 0.3+ 000105 046 0.4+ 0.1+ 941014 360 0.1+ 0.9+ 991130 046 1.0+ 1.3+ 000106 540 0.4+ 0.3+ 941014 360 0.1+ 0.9+ 991130 046 (0.6- 2.6+) 000106 540 0.6- 0.1+ 941015 046 0.5- 1.2+ 991130 046 0.8+ 0.7+ 000106 540 1.0- 0.2- 941015 046 0.2- 0.7+ 991130 046 1.3+ 0.5- 000106 540 0.1- 0.7+ 941015 046 0.2+ 0.7+ 991203 402 1.5+ 0.2+ 000106 540 0.2+ 0.4+ 941016 540 0.8- 0.8+ 991203 402 0.5+ 0.5+ 000106 046 0.4- 0.4+ 941016 540 0.2- 0.1+ 991203 402 0.6+ 0.0 000106 046 0.3- 0.4- 941018 605 (2.9+ 0.8+) 991203 360 0.0 0.0 000106 046 0.9+ 0.5+ 941018 605 (3.5+ 1.7+) 991203 360 0.0 0.2+ 000106 046 0.7+ 0.3+ 941018 605 (2.3+ 1.4+) 991203 360 0.1+ 0.6+ 000106 046 0.2+ 0.1- 941018 605 (3.1+ 0.0 ) 991203 372 0.5+ 1.5+ 000106 046 0.6+ 0.1+ 941018 557 0.3- 0.4- 991206 372 1.3- 0.3- Y 000107 587 0.7- 0.1+ 941018 557 0.8+ 0.5- 991206 372 1.4+ 0.3+ 000107 587 0.5- 0.1+ 941018 557 1.5+ 0.4- 991206 372 1.4+ 1.0- Y 000108 349 (3.1+ 0.1+) 941019 605 1.2- 0.3+ 991207 897 0.9+ 0.1+ 000108 349 1.4+ 1.4- 941019 605 0.9+ 1.2+ 991207 897 0.9+ 0.5+ 000108 349 (2.6+ 1.2-) 941019 605 0.7- 0.8+ 991208 402 0.2- 0.1- 000108 428 (2.9- 0.7-) 941020 605 (2.4+ 1.9+) 991208 402 0.8+ 0.2- 000108 428 1.5- 1.3- 941020 605 (8.5- 3.5+) 991208 402 0.6- 0.3- 000110 347 (1.4+ 2.2+) 941020 605 (3.5+ 0.5+) 991208 360 0.0 0.0 000110 347 0.3- 0.1+ 941022 897 0.5+ 1.7- 991208 360 0.3- 0.1- 000110 347 0.2- 0.5+ 941022 897 1.6+ 1.3- 991210 349 (1.5- 3.3+) 000111 402 0.0 0.1+ 941022 897 (3.1+ 2.2-) 991210 349 (2.0- 3.8+) 000111 402 (2.7- 0.6-) 941031 360 1.6+ 2.1- 991210 402 0.1+ 0.5- 000111 402 0.9+ 0.3+ 941031 360 (3.0+ 2.4-) 991210 402 0.1+ 0.0 000112 046 1.4- 1.2- 941101 897 (2.5+ 1.5-) 991210 402 0.3+ 0.0 000112 046 0.6- 0.7+ 941101 897 0.0 1.6- 991211 347 1.5- 0.2- 000112 046 (2.9- 0.5-) 941101 897 (2.0+ 3.2-) 991211 349 (2.0- 2.3+) 000112 046 1.0+ 1.0- 941102 557 1.0+ 1.0- 991211 349 (2.5- 4.1+) 000112 046 0.5- 0.3+ 941102 557 1.3+ 0.5- 991211 349 (2.2- 3.5+) 000112 046 0.9+ 1.2+ 941102 557 1.8+ 1.8- 991211 347 (2.1- 3.6+) 000112 046 (2.6+ 0.1+) 941102 557 (3.3+ 2.1-) 991211 347 0.8- 0.9- 000115 402 1.1+ 0.5+ 941107 372 (2.0+ 4.1-)Y 991211 347 0.2+ 1.1- 000115 402 1.1- 0.4- 941109 691 (4.4+ 2.8-) 991212 897 0.5- 0.0 000115 402 0.3- 0.0 941109 691 (2.8+ 1.1-) 991212 897 0.5- 1.4+ 000118 900 (0.7+ 2.6+) 941110 691 1.7+ 1.9- 991212 897 0.4+ 0.5+ 000118 900 1.5+ 0.7+ 941110 691 1.5+ 1.4- 991213 372 0.1- 0.1+ 000122 349 0.6+ 1.1- 941110 691 (2.8+ 1.8-) 991213 372 0.5- 0.5- Y 000122 349 1.1+ 1.8- 941201 557 (3.4+ 3.0-) 991216 402 0.5+ 0.6- 000122 349 1.5- 0.3- 941201 557 (4.8+ 3.7-) 991216 402 1.3+ 0.4- 000125 402 (2.4+ 0.9+) 941208 691 (2.7+ 1.5-) 991216 402 0.2- 0.3- 000125 402 (2.6+ 0.6+) 941208 691 1.4+ 1.6- 991219 347 (2.6+ 0.5-) 000125 402 0.8- 0.0 941208 691 1.2+ 0.5+ 991219 347 (3.0+ 1.9+) 000125 118 0.1+ 1.9+ 1995/ 991220 897 1.0- 1.0+ 000125 118 0.4- 1.5+ 950329 413 0.3+ 0.8- 991220 897 (2.3- 0.1-) 000125 118 (0.3- 2.2+) 950329 413 0.1- 0.2- 991220 372 1.2+ 0.3+ Y 000128 402 0.5+ 0.0 950330 413 0.0 0.1- 991220 372 0.5- 0.1+ 000128 402 0.3- 0.5+ 950330 413 0.1+ 0.0 991220 372 0.1- 0.1- Y 000128 402 1.2- 1.0+ 1999/ 991222 402 0.6- 0.3- 000128 360 0.9+ 0.3+ 990803 413 0.4- 0.5+ 991222 402 0.0 0.5- 000128 360 1.1+ 0.7+ 990803 413 0.2- 0.0 991222 402 0.0 0.5- 000201 118 0.4+ 0.2+ 990803 413 0.9- 0.6+ 991222 046 1.5+ 1.1+ 000201 118 0.7- 0.3- 990804 413 0.8- 0.3+ 991222 046 0.2- 1.2+ 000211 360 0.8+ 0.3+ 990804 413 0.8- 0.3+ 991222 046 0.4+ 1.0+ 000211 360 0.3+ 0.4+ 990804 413 0.7- 0.2+ 991222 046 0.9- 0.0 2005/ 990804 413 0.8- 0.3+ 991223 349 1.6- 1.4- 050227 A71 0.8- 1.3+ 990831 413 0.2- 0.5+ 991223 347 0.7+ 0.1+ 050313 A71 (6.5+ 2.1+) 990831 413 1.0- 0.5+ 991223 347 0.8+ 0.3+ 050316 349 0.6- 0.5- 990901 413 0.5- 0.6+ 991223 349 1.0+ 1.4- 050316 349 1.1- 0.2- 990901 413 0.8- 0.7+ 991223 347 2.0+ 0.3+ 050316 349 0.7- 1.3- 991006 413 0.8- 1.4+ 991223 349 0.3+ 0.9- 050321 349 1.7- 0.5+ 991006 413 2.1- 0.7+ 991223 347 0.8+ 0.5- 050321 349 1.3- 0.8+ 991007 413 0.0 0.3+ 991223 372 1.6- 1.6+ 050326 349 0.9+ 0.9+ 991007 413 0.2- 0.7+ 991223 349 1.2- 1.1- 050326 349 0.9+ 1.2+ 991007 413 0.1- 0.9+ 991224 897 0.5- 1.1+ 050330 360 1.0+ 1.3+ 991007 413 0.0 0.7+ 991224 897 1.1- 0.2- 050330 360 1.1+ 0.3+ 991017 413 0.7+ 1.0+ 991224 402 0.2- 0.5- 050330 360 1.7+ 1.2+ 991017 413 0.7- 0.0 991224 402 0.3+ 0.6- 050330 360 1.1+ 1.1+ 991017 413 0.1- 0.7+ 991224 402 0.2+ 0.2- 050413 213 0.5- 0.7+ 991104 413 0.0 0.2+ 991224 900 0.1- 1.0- 050413 213 0.2- 0.9+ 991104 413 0.0 0.4+ 991224 900 0.8- 0.6- 991105 402 0.6+ 1.0- 991225 900 0.8- 0.3- ( ) -------- Rejected Obs.
Director, Computing Section Syuichi Nakano 2007 Apr. 10