Nakano Note (Nakano wa Kangaeru noda) NK 2996 141P/Machholz 2 - D (1994, 1999) and H (2015)
The following improved orbital elements, by S. Nakano, are from 171 observations 1994 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 +/- 1.39 arc seconds. As mentioned on MPEC R12 (2015), Component H can be linked with other Components B and C observed in 1994. 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), NK 2918 and 2988 (= HICQ 2015). Epoch = 2015 Aug. 6.0 TT T = 2015 Aug. 24.42016 +/- 0.00066 (m.e.) TT Peri. = 149.45748 +/- 0.00129 Node = 246.01031 +/- 0.00031 (2000.0) Inc. = 12.80734 +/- 0.00009 q = 0.7608629 +/- 0.0000006 AU e = 0.7480685 +/- 0.0000018 a = 3.0201184 +/- 0.0000073 AU n' = 0.18778813 +/- 0.00000068 P = 5.249 +/- 0.0000191 years A1 = +1.339 +/- 0.060 A2 = -0.11285 +/- 0.00022 T = 1994 Sept.19.20895 TT Epoch = 1994 Sept. 5.0 TT Peri. = 149.26009 e = 0.7502057 Node = 246.17603 (2000.0) a = 3.0126874 AU Inc. = 12.78487 n'= 0.18848334 q = 0.7525522 AU P = 5.229 years T = 1999 Dec. 9.93368 TT Epoch = 1999 Dec. 8.0 TT Peri. = 149.29688 e = 0.7510486 Node = 246.13216 (2000.0) a = 3.0083980 AU Inc. = 12.80932 n'= 0.18888660 q = 0.7489450 AU P = 5.218 years [ T = 2005 Feb. 28.83441 TT Epoch = 2005 Mar. 11.0 TT Peri. = 149.26878 e = 0.7500557 Node = 246.15759 (2000.0) a = 3.0120408 AU Inc. = 12.79338 n'= 0.18854404 q = 0.7528424 AU P = 5.227 years ] [ T = 2010 May 24.69104 TT Epoch = 2010 June 13.0 TT Peri. = 149.34559 e = 0.7488086 Node = 246.08219 (2000.0) a = 3.0165944 AU Inc. = 12.80056 n'= 0.18811728 q = 0.7577426 AU P = 5.239 years ] The predicted orbit for the 2020 return is as follows: T = 2020 Dec. 14.56264 TT Epoch = 2020 Dec. 17.0 TT Peri. = 153.52611 e = 0.7355125 Node = 241.83498 (2000.0) a = 3.0547166 AU Inc. = 13.94494 n'= 0.18460679 q = 0.8079343 AU P = 5.339 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 1994/ 941018 557 (5.1- 2.4-) 150819 H06 (6.0+ 10.0-) 940830 557 1.5+ 2.2- 941022 897 (0.6- 4.1-) 150819 H06 (5.3+ 10.0-) 940830 557 1.5+ 2.5- 941022 897 (0.8- 5.4-) 150819 H06 (6.3+ 10.7-) 940830 557 1.0+ 2.0- 941102 557 (0.4+ 5.1-) 150822 L51 (6.8- 5.0+) 940830 557 1.8+ 2.2- 941102 557 (0.7+ 6.3-) 150822 L51 (1.6- 6.9+) 940830 557 1.6+ 2.4- 941102 557 (2.9+ 6.2-) 150823 L51 (4.4- 3.7-) 940830 557 (1.4+ 3.0-) 941109 691 (3.3+ 6.8-) 150823 L51 (5.3- 0.5-) 940830 657 1.6- 1.6- 941109 691 (1.6+ 8.1-) 150824 W96 1.8- 2.2- 940830 657 (2.5- 3.6-) 941110 691 (6.5+ 7.4-) 150824 W96 (9.4- 3.8-) 940830 657 2.2+ 1.6- 941110 691 (4.1+ 6.0-) 150824 W96(10.1- 4.8-) 940830 657 (0.7+ 5.0-) 941208 691 (7.3+ 9.5-) 150824 N55 2.5+ 1.1- 940901 658 2.1- 0.4+ 941208 691 (3.7+ 7.2-) 150824 N55 1.0+ 1.2+ 940901 658 (4.9- 1.5+) 941208 691 (3.9+ 12.5-) 150824 N55 (1.1- 3.4+) 940901 360 (3.1- 0.4+) 1999/ 150825 L51 1.1+ 2.0- 940901 360 1.5- 0.8- 991017 413 0.4+ 0.5- 150825 L51 2.4+ 1.8- 940902 557 1.9- 0.4+ 991017 413 0.2+ 0.9- 150825 L51 2.0+ 0.6- 940902 557 1.1- 0.5+ 991017 413 0.1- 0.0 150825 G40 2.4+ 1.8+ 940902 557 1.9+ 0.2- 991021 402 1.7- 2.1- 150825 G40 2.3+ 0.4+ 940903 410 2.8- 1.7+ 991021 402 1.5- 0.9- 150825 W96 (3.2- 1.5-) 940903 410 (5.1- 2.0+) 991021 402 1.2+ 1.1- 150825 W96 (4.0- 0.6+) 940903 410 (3.4- 0.2+) 991023 402 0.7+ 0.9- 150825 W96 2.4- 2.3+ 940903 360 0.3- 1.3+ 991023 402 2.0+ 0.3- 150826 L51 1.4- 2.1- 940903 360 1.3- 0.3+ 991023 402 2.3+ 1.0- 150826 L51 1.1+ 0.1+ 940904 557 0.7- 2.3+ 991023 402 1.4+ 0.2- 150826 L51 1.3- 2.2- 940904 557 1.1- 2.2+ 991023 402 0.3+ 0.2- 150826 A71 (3.5- 1.0-) 940904 557 0.6- 1.0+ 991025 897 1.9+ 0.5- 150826 A71 (3.0- 1.0+) 940904 675 (1.0- 6.9+) 991025 897 1.0- 0.4+ 150826 215 0.4+ 0.0 940905 540 (4.9- 0.8+) 991025 402 1.4+ 0.2+ 150826 215 1.4+ 0.2- 940906 675 (3.6- 2.9+) 991025 402 1.2+ 0.5- 150826 215 0.6- 1.0+ 940908 540 1.1+ 0.4+ 991025 867 0.4+ 0.2+ 150826 B49 0.0 0.3- 940908 540 0.6+ 1.1- 991025 402 2.0+ 2.3- 150826 B49 1.2- 1.7- 940908 360 1.2+ 0.2- 991025 402 2.6+ 0.7- 150826 B49 1.2- 1.8- 940908 360 1.3+ 0.1+ 991025 402 0.8+ 1.5- 150826 J43 2.7- 1.9+ 940910 557 0.5+ 1.6+ 991025 867 0.7- 0.2+ 150826 J43 1.4- 0.6- 940910 557 0.7- 0.5+ 991028 897 (3.1- 2.4-) 150826 J43 0.2- 0.7- 940910 557 1.3+ 1.7+ 991028 897 1.3- 1.8- 150826 G40 2.4- 1.2+ 940910 557 (3.4+ 0.0 ) 991029 402 0.9- 0.3- 150826 G40 (1.2- 3.5+) 940910 557 1.5+ 1.4+ 991029 402 1.1+ 0.9+ 150826 G40 2.2- 0.8- 940910 816 (3.5+ 1.0+) 991029 402 1.5+ 0.5- 150826 W96 (3.5- 2.6+) 940910 816 (0.9- 3.0+) 991029 402 0.8+ 0.4- 150826 W96 (5.5- 2.3+) 940913 360 (3.3+ 0.2-) 991029 402 0.6- 0.3- 150826 H06 2.0- 2.1+ 940913 360 2.6+ 0.5- 991029 402 0.1- 0.9- 150826 H06 (6.9- 0.4+) 940916 372 (4.3- 1.7+) 991101 540 2.2+ 0.9+ 150826 367 1.7+ 1.0- 940916 372 0.8- 2.1+ 991101 540 0.7+ 1.6+ 150826 367 1.3- 0.3+ 940923 557 2.3+ 0.1- 991101 540 0.9+ 0.8+ 150826 N55 (2.6- 4.4+) 940923 557 2.5+ 0.2- 991101 540 1.1+ 0.6+ 150826 N55 (1.1- 4.2+) 940923 557 2.4+ 0.1+ 991101 540 2.1+ 0.7+ 150826 N55 0.3- 2.3+ 940923 557 2.4+ 0.1+ 991102 372 0.8- 2.5+ 150827 L51 2.7- 1.7+ 940923 557 2.6+ 0.4- 991102 413 0.1- 0.7- 150827 L51 (3.1- 0.7+) 940924 372 0.4+ 1.4+ 991102 372 1.3- 2.4+ 150827 L51 (3.1- 0.6+) 940924 372 1.5+ 0.1- 991103 402 2.5- 0.8- 150827 L51 (2.9- 0.9-) 940924 372 0.5+ 1.0+ 991103 360 0.9- 0.2- 150827 A77 (1.6+ 4.6-) 940924 372 0.9+ 0.3- 991103 402 0.6- 0.6- 150827 A77 0.5+ 1.7- 940925 372 0.1+ 1.0+ 991103 402 1.8- 0.4- 150827 G40 (4.4- 1.1+) 940925 372 2.3+ 0.1+ 991103 360 1.2- 0.2- 150827 G40 (3.5- 0.5-) 940925 372 1.3+ 0.9+ 991103 367 0.1- 0.7+ 150827 G40 1.3- 0.2- 940925 372 (2.0+ 3.6+) 991103 367 1.6+ 1.0+ 150827 G40 (3.4- 0.6+) 940927 657 1.9- 1.9+ 991103 367 0.8- 0.1- 150827 N55 0.4+ 1.9- 940927 657 1.4- 1.6+ 991104 360 0.1- 0.9+ 150827 N55 0.9+ 2.0- 940927 657 1.9- 1.9+ 991104 360 0.3- 0.4+ 150827 N55 0.7+ 2.1- 941002 360 2.4- 1.8+ 991104 360 0.5+ 0.2- 150828 A71 (8.2- 3.0+) 941002 360 0.4- 0.9+ 991104 413 0.6- 0.1- 150828 A71 1.4- 0.8+ 941002 372 1.8+ 0.9+ Y 991105 402 2.0+ 0.6- 150828 A71 (1.8- 3.3+) 941005 557 0.9- 1.3+ 991105 402 2.1- 0.5- 150828 A71 1.9- 0.2+ 941007 557 1.1- 0.3- 991105 402 0.8- 0.7- 150828 A71 (6.6- 1.8+) 941007 557 0.6- 0.2- 991106 349 0.3+ 0.5+ 150828 G40 0.5+ 1.4- 941007 557 1.6- 0.1+ 991106 349 1.1- 1.2- 150828 G40 0.9+ 1.7+ 941007 046 0.1+ 0.3- 991107 402 1.3- 0.0 150828 G40 1.0+ 0.1+ 941007 046 2.6- 0.2- 991107 402 2.3- 0.4+ 150829 C23 1.0+ 0.7- 941007 046 (4.1- 0.3-) 991107 402 1.1- 0.6- 150829 C23 (7.1- 1.0+) 941007 046 1.7- 2.4- 991109 372 (1.9- 5.6+) 150829 G40 2.6- 0.6+ 941007 675 2.8- 0.9+ 991110 360 1.9- 1.0+ 150829 G40 0.8- 0.1+ 941007 675 1.0- 0.5- 991110 360 0.8- 0.4+ 150830 G40 1.3+ 0.2- 941010 675 (3.0- 2.7-) 991110 360 1.3- 0.5+ 150830 G40 2.5- 0.5+ 941010 675 2.5- 0.9- 991113 402 1.5+ 2.5+ 150831 C10 2.5+ 0.2- 941011 557 0.3+ 2.0- 991113 897 (2.9+ 3.9+) 150831 C10 (5.6- 2.5-) 941011 557 1.0+ 2.8- 991113 402 0.4+ 1.8+ 150901 L51 1.4- 0.5+ 941011 557 1.7+ 2.4- 991113 402 0.2- 1.8+ 150901 L51 (5.4+ 1.0+) 941014 360 2.6+ 2.3- 991113 897 (6.1+ 3.4+) 150901 L51 (5.0+ 0.3+) 941014 360 (2.9+ 3.4-) 991118 349 (0.2+ 3.0+) 150901 L51 (5.4- 0.6+) 941016 540 (8.6- 5.7+) 991118 349 (0.0 4.8+) 150905 L51 (0.9+ 4.1+) 941016 540 (8.9- 1.5+) 991126 046 (1.4+ 5.6+) 150905 L51 (2.1+ 5.2+) 941018 557 (2.8+ 4.7-) 991126 046 (1.6- 6.6+) 150906 L51 0.7+ 0.7- 941018 557 0.7- 2.2- 991126 046 (1.7- 7.5+) 150906 L51 0.4- 0.2- 941018 557 1.9- 2.6- 991126 046 (3.6+ 6.4+) 150906 L51 0.7- 1.1+ 941018 557 (0.9- 3.5-) 2015/ ( ) -------- Rejected Obs.
Associate of the CBAT Syuichi Nakano 2015 Sept. 10