Nakano Note (Nakano wa Kangaeru noda) NK 2988 141P/Machholz 2 - A
The following improved orbital elements, by S. Nakano, are from 239 observations 1999 to 2015, 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 +/- 0.94 arc second. The observations in 2015 June-July shows the large residuals of about +44" for R. A. and +8" for Decl. from a recent orbit in NK 2918. See the previous orbits in NK 642, NK 725, NK 726, MPC 35815, MPC 36175, MPC 36213, NK 842A, NK 842D (= MPC 37026, MPC 45656), NK 1173, NK 1458 (= MPC 59599) and NK 2918. Epoch = 2015 Aug. 6.0 TT T = 2015 Aug. 25.01901 +/- 0.00007 (m.e.) TT Peri. = 149.47313 +/- 0.00015 Node = 246.01403 +/- 0.00011 (2000.0) Inc. = 12.80941 +/- 0.00003 q = 0.7609150 +/- 0.0000003 AU e = 0.7481514 +/- 0.0000005 a = 3.0213195 +/- 0.0000020 AU n' = 0.18767616 +/- 0.00000018 P = 5.252 +/- 0.0000052 years A1 = +0.643 +/- 0.012 A2 = +0.02756 +/- 0.00005 ( T = 1999 Dec. 9.27479 TT Epoch = 1999 Dec. 8.0 TT Peri. = 149.30222 e = 0.7510702 Node = 246.13650 (2000.0) a = 3.0086049 AU Inc. = 12.81137 n'= 0.18886711 q = 0.7489314 AU P = 5.219 years ) T = 2005 Feb. 28.24553 TT Epoch = 2005 Mar. 11.0 TT Peri. = 149.27860 e = 0.7501057 Node = 246.16178 (2000.0) a = 3.0126541 AU Inc. = 12.79539 n'= 0.18848647 q = 0.7528452 AU P = 5.229 years T = 2010 May 24.52371 TT Epoch = 2010 June 13.0 TT Peri. = 149.35995 e = 0.7488776 Node = 246.08599 (2000.0) a = 3.0175803 AU Inc. = 12.80261 n'= 0.18802510 q = 0.7577819 AU P = 5.242 years The predicted orbit for the 2020 return is as follows: T = 2020 Dec. 16.26146 TT Epoch = 2020 Dec. 17.0 TT Peri. = 153.53900 e = 0.7356425 Node = 241.84740 (2000.0) a = 3.0563678 AU Inc. = 13.94319 n'= 0.18445721 q = 0.8079737 AU P = 5.343 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 1999/ 991219 347 (3.2+ 0.5-) 000118 900 (0.4+ 2.2+) 990803 413 (6.5- 0.7-) 991219 347 (3.6+ 1.9+) 000118 900 1.2+ 0.4+ 990803 413 (6.3- 1.2-) 991220 897 0.4- 1.0+ 000122 349 0.6+ 1.7- 990803 413 (7.0- 0.6-) 991220 897 1.7- 0.0 000122 349 (1.1+ 2.4-) 990804 413 (6.8- 0.9-) 991220 372 1.8+ 0.4+ Y 000122 349 1.5- 0.9- 990804 413 (6.7- 0.9-) 991220 372 0.1+ 0.2+ 000125 402 (2.7+ 0.3+) 990804 413 (6.6- 1.0-) 991220 372 0.5+ 0.0 Y 000125 402 (2.8+ 0.0 ) 990804 413 (6.8- 0.9-) 991222 402 0.0 0.3- 000125 402 0.5- 0.6- 990831 413 (4.1- 0.7-) 991222 402 0.6+ 0.4- 000125 118 0.4+ 1.3+ 990831 413 (4.9- 0.6-) 991222 402 0.6+ 0.4- 000125 118 0.0 0.9+ 990901 413 (4.3- 0.5-) 991222 046 2.1+ 1.2+ 000125 118 0.0 1.6+ 990901 413 (4.7- 0.5-) 991222 046 0.4+ 1.3+ 000128 402 1.1+ 0.7- 991006 413 (2.7- 0.3+) 991222 046 0.9+ 1.0+ 000128 402 0.2+ 0.1- 991006 413 (4.0- 0.4-) 991222 046 0.3- 0.1+ 000128 402 0.6- 0.3+ 991007 413 1.8- 0.8- 991223 349 1.0- 1.3- 000128 360 1.5+ 0.4- 991007 413 2.1- 0.4- 991223 347 1.2+ 0.2+ 000128 360 1.7+ 0.1+ 991007 413 1.9- 0.2- 991223 347 1.4+ 0.4+ 000201 118 1.4+ 0.5- 991007 413 1.9- 0.4- 991223 349 1.5+ 1.3- 000201 118 0.3+ 1.0- 991017 413 0.7- 0.0 991223 347 (2.6+ 0.4+) 000211 360 (2.4+ 0.4-) 991017 413 2.1- 1.0- 991223 349 0.9+ 0.8- 000211 360 2.0+ 0.3- 991017 413 1.5- 0.3- 991223 347 1.3+ 0.4- 2005/ 991104 413 0.7- 0.7- 991223 372 1.0- 1.7+ 050227 A71 1.9- 0.8+ 991104 413 0.7- 0.5- 991223 349 0.6- 1.0- 050313 A71 (5.4+ 1.4+) 991105 402 0.0 1.9- 991224 897 0.0 1.2+ 050316 349 1.6- 1.1- 991105 402 0.8- 2.0- 991224 897 0.6- 0.1- 050316 349 2.1- 0.8- 991105 402 (0.9+ 2.5-) 991224 402 0.3+ 0.4- 050316 349 1.7- 1.9- 991105 402 (0.1+ 2.8-) 991224 402 0.8+ 0.5- 050321 349 (2.4- 0.1-) 991107 402 0.2- 0.0 991224 402 0.7+ 0.1- 050321 349 2.0- 0.2+ 991107 402 1.9+ 0.4+ 991224 900 0.4+ 0.9- 050326 349 0.6+ 0.4+ 991107 402 (1.3- 2.8-) 991224 900 0.3- 0.4- 050326 349 0.6+ 0.6+ 991107 402 (1.1- 2.2-) 991225 900 0.3- 0.1- 050330 360 1.1+ 0.7+ 991119 402 0.2+ 0.0 991225 900 1.6- 0.1+ 050330 360 1.2+ 0.2- 991119 402 1.8+ 0.2+ 991226 347 0.3- 0.7+ 050330 360 1.9+ 0.6+ 991119 402 0.6- 1.8- 991226 347 0.1- 0.9+ 050330 360 1.2+ 0.6+ 991119 402 0.6+ 1.7- 991226 347 0.1- 0.4- 050413 213 1.5+ 0.1+ 991126 046 0.2+ 0.2+ 991226 347 1.4+ 0.7+ 050413 213 1.9+ 0.3+ 991126 046 0.5+ 0.5- 991227 360 0.7- 0.2- 2015/ 991126 046 1.0+ 0.7- 991227 360 0.3- 0.5+ 150524 C51 0.5- 1.1- 991126 046 1.5+ 0.2+ 991227 897 2.0- 0.2- 150524 C51 1.7+ 0.1- 991126 046 0.6+ 0.8- 991227 897 (2.9- 0.6-) 150524 C51 0.7+ 0.5+ 991126 046 0.3- 0.0 991227 372 0.9- 0.6+ 150524 C51 (1.6+ 2.9-) 991126 046 0.3- 0.1- 991227 897 0.1+ 1.0- 150525 C51 1.6+ 1.6- 991126 046 0.4- 1.3- 991228 351 1.0- 1.8- 150525 C51 0.4+ 0.5- 991126 046 0.1+ 0.8- 991228 351 (0.8- 2.9+) 150525 C51 1.8+ 0.1+ 991126 046 2.0+ 1.2- 991229 372 0.5- 0.3+ 150525 C51 0.1+ 0.8- 991127 046 0.0 1.2- 991229 372 0.1+ 0.0 150525 C51 0.3+ 0.3+ 991127 046 2.1+ 1.1+ 991230 349 1.2+ 1.5- 150525 C51 1.2+ 0.5+ 991127 046 1.2+ 0.9+ 991230 349 1.7+ 0.2- 150525 C51 1.1+ 1.1+ 991127 046 0.2+ 0.7+ 991230 349 2.0+ 0.9- 150525 C51 0.1+ 0.1- 991128 897 0.4+ 1.4- 991230 349 0.0 0.1- 150525 C51 0.5- 0.5- 991128 897 (2.1- 3.4-) 991231 461 0.1+ 0.7+ 150525 C51 (2.4+ 0.6-) 991129 897 (2.3+ 0.4+) 991231 461 0.0 0.4+ 150525 C51 1.3+ 0.0 991129 046 0.7+ 0.1+ 991231 461 0.0 0.8+ 150526 C51 0.4- 0.7- 991129 046 0.4- 0.1- 2000/ 150526 C51 0.2+ 1.5- 991129 046 0.7+ 0.3+ 000103 900 1.3- 0.5+ 150526 C51 0.7- 1.8- 991129 046 0.8+ 0.7- 000103 900 0.0 1.4- 150526 C51 0.4+ 0.4+ 991129 046 0.1- 0.1- 000103 587 0.6- 0.6+ 150526 C51 0.5+ 1.1- 991130 360 0.1- 0.1- 000103 587 0.5- 0.2+ 150526 C51 1.2+ 1.4- 991130 360 0.3- 0.4- 000103 587 0.2- 0.1+ 150526 C51 0.9+ 0.4+ 991130 360 0.4- 0.2- 000104 347 (2.6- 2.3-) 150526 C51 1.0+ 0.4+ 991130 046 1.3+ 0.8+ 000104 347 (3.3- 1.8-) 150526 C51 0.1- 0.8+ 991130 046 0.3- 2.1+ 000104 347 (4.5- 1.2-) 150526 C51 0.7- 1.2+ 991130 046 1.1+ 0.2+ 000104 347 (1.6- 2.8-) 150526 C51 0.7+ 0.6- 991130 046 1.7+ 1.0- 000105 046 0.2- 0.8+ 150527 C51 0.9+ 0.3- 991203 402 1.9+ 0.2- 000105 046 0.3+ 0.8+ 150527 C51 0.1- 0.2+ 991203 402 0.9+ 0.1+ 000105 046 0.6- 0.0 150527 C51 0.2+ 0.9- 991203 402 1.0+ 0.4- 000105 046 0.3+ 0.3+ 150527 C51 0.4+ 1.2- 991203 360 0.4+ 0.5- 000106 540 0.3+ 0.5+ 150527 C51 0.0 0.5- 991203 360 0.5+ 0.3- 000106 540 0.8- 0.2+ 150527 C51 0.4- 0.9- 991203 360 0.5+ 0.1+ 000106 540 1.1- 0.0 150527 C51 0.5+ 0.3- 991203 372 0.9+ 1.1+ 000106 540 0.3- 0.8+ 150528 C51 0.5- 0.4- 991206 372 0.8- 0.7- Y 000106 540 0.0 0.5+ 150528 C51 0.6+ 0.2- 991206 372 1.9+ 0.0 000106 046 0.6- 0.6+ 150528 C51 0.2+ 0.3- 991206 372 1.9+ 1.3- Y 000106 046 0.5- 0.2- 150528 C51 1.4- 1.7- 991207 897 1.4+ 0.3- 000106 046 0.7+ 0.7+ 150529 C51 0.6+ 0.4- 991207 897 1.4+ 0.2+ 000106 046 0.5+ 0.4+ 150607 160(28.5- 4.3+) 991208 402 0.4+ 0.4- 000106 046 0.0 0.0 150607 160(30.8- 4.4+) 991208 402 1.4+ 0.5- 000106 046 0.4+ 0.3+ 150711 215 (3.9- 0.5+) 991208 402 0.1- 0.6- 000107 587 1.0- 0.3+ 150711 215 (3.4- 0.9+) 991208 360 0.6+ 0.3- 000107 587 0.8- 0.3+ 150711 215 1.8- 1.3+ 991208 360 0.3+ 0.3- 000108 349 (2.8+ 0.2+) 150714 A77 1.2- 1.2- 991210 349 (0.9- 3.0+) 000108 349 1.1+ 1.3- 150714 A77 1.7- 1.4+ 991210 349 (1.4- 3.5+) 000108 349 (2.4+ 1.1-) 150716 A77 1.7+ 2.0+ 991210 402 0.7+ 0.8- 000108 428 (3.2- 0.6-) 150716 A77 0.8- 2.0+ 991210 402 0.7+ 0.2- 000108 428 1.8- 1.2- 150716 A77 (2.4+ 2.2+) 991210 402 0.9+ 0.3- 000110 347 (1.0+ 2.3+) 150716 W96 1.3+ 0.9+ 991211 347 0.9- 0.4- 000110 347 0.7- 0.1+ 150716 W96 0.4- 0.8+ 991211 349 1.4- 2.1+ 000110 347 0.6- 0.6+ 150717 A77 0.5+ 2.0+ 991211 349 (1.9- 3.9+) 000111 402 0.5- 0.1+ 150717 A77 2.0+ 1.3+ 991211 349 (1.6- 3.2+) 000111 402 (3.1- 0.6-) 150718 C10 0.9+ 1.4- 991211 347 (1.5- 3.4+) 000111 402 0.5+ 0.3+ 150718 C10 0.7- 0.3- 991211 347 0.2- 1.1- 000112 046 1.9- 1.3- 150718 C10 (0.4- 4.4+) 991211 347 0.8+ 1.3- 000112 046 1.1- 0.7+ 150718 C10 1.5- 2.0+ 991212 897 0.2+ 0.2- 000112 046 (3.3- 0.5-) 150718 C10 0.1- 0.5+ 991212 897 0.2+ 1.2+ 000112 046 0.5+ 1.1- 150718 A77 (3.0+ 2.1+) 991212 897 1.0+ 0.3+ 000112 046 0.9- 0.2+ 150718 C10 1.2- 1.0+ 991213 372 0.1+ 0.7- Y 000112 046 0.5+ 1.1+ 150718 A77 2.0+ 0.2+ 991213 372 0.5+ 0.1- 000112 046 (2.2+ 0.0 ) 150718 349 (0.9- 2.4+) 991216 402 1.1+ 0.6- 000115 402 0.6+ 0.3+ 150718 349 (0.3- 3.1+) 991216 402 2.0+ 0.5- 000115 402 1.6- 0.6- 991216 402 0.5+ 0.4- 000115 402 0.8- 0.2- ( ) -------- Rejected Obs.
Associate of the CBAT Syuichi Nakano 2015 July 31