Nakano Note (Nakano wa Kangaeru noda) NK 3435 141P/Machholz 2 - A

The following improved orbital elements, by S. Nakano, are from 258 observations 2000 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 +/- 0.89 arc second. See the previous orbits in NK 642, NK 725, NK 726 (Nucleus D), MPC 35815, MPC 36175, MPC 36213, NK 842A, NK 842D (= MPC 37026, MPC 45656), NK 1173, NK 1458 (= MPC 59599), NK 2918, NK 2988, NK 2995 and NK 2996 (Nucleus H). Epoch = 2015 Aug. 6.0 TT T = 2015 Aug. 25.02101 +/- 0.00006 (m.e.) TT Peri. = 149.47458 +/- 0.00016 Node = 246.01802 +/- 0.00012 (2000.0) Inc. = 12.80994 +/- 0.00003 q = 0.7608758 +/- 0.0000003 AU e = 0.7481906 +/- 0.0000001 a = 3.0216339 +/- 0.0000007 AU n' = 0.18764687 +/- 0.00000006 P = 5.252 +/- 0.0000017 years A1 = -0.123 +/- 0.009 A2 = +0.02736 +/- 0.00003 T = 2005 Feb. 28.24659 TT Epoch = 2005 Mar. 11.0 TT Peri. = 149.27458 e = 0.7501483 Node = 246.16580 (2000.0) a = 3.0130068 AU Inc. = 12.79592 n'= 0.18845337 q = 0.7528050 AU P = 5.230 years [ T = 2010 May 24.52615 TT Epoch = 2010 June 13.0 TT Peri. = 149.36014 e = 0.7489165 Node = 246.08998 (2000.0) a = 3.0178943 AU Inc. = 12.80314 n'= 0.18799575 q = 0.7577435 AU P = 5.243 years ] The predicted orbit for the 2020 return is as follows: T = 2020 Dec. 16.26106 TT Epoch = 2020 Dec. 17.0 TT Peri. = 153.54711 e = 0.7356825 Node = 241.84930 (2000.0) a = 3.0567016 AU Inc. = 13.94484 n'= 0.18442701 q = 0.8079397 AU P = 5.344 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 2000/ 150728 G40 0.2+ 0.9- 150907 A71 0.3- 0.3+ 000122 349 (3.0+ 1.6-) 150728 G40 0.7+ 0.4- 150907 A71 0.0 0.3- 000122 349 (3.5+ 2.3-) 150728 G40 0.5+ 1.0- 150907 A71 0.2- 0.3- 000122 349 0.9+ 0.8- 150813 215 0.1- 0.4- 150907 A71 0.6+ 1.2+ 000125 402 (3.2+ 0.3+) 150813 215 0.3+ 0.6+ 150907 A71 0.5- 0.5+ 000125 402 (3.4+ 0.1-) 150813 215 0.0 0.2+ 150907 I81 1.0+ 0.6- 000125 402 0.0 0.6- 150816 I81 (3.2+ 1.5-) 150907 A71 0.4- 0.1+ 000125 118 0.8+ 1.2+ 150816 I81 (3.3+ 1.6-) 150907 I81 (2.7+ 0.8-) 000125 118 0.3+ 0.8+ 150816 I81 (3.0+ 1.1-) 150907 I81 1.8+ 1.1- 000125 118 0.4+ 1.5+ 150817 152 (2.2+ 3.0-) 150907 160 0.2+ 0.3- 000128 402 0.3+ 0.8- 150817 152 2.0- 1.2+ 150907 160 (0.3- 2.4+) 000128 402 0.6- 0.3- 150817 152 1.0- 1.5+ 150907 160 (0.8+ 2.7+) 000128 402 1.4- 0.1+ 150818 152 0.3- 0.5+ 150909 215 0.4+ 0.0 000128 360 0.7+ 0.6- 150819 A71 1.8+ 0.1+ 150909 215 0.3+ 0.1+ 000128 360 0.9+ 0.1- 150819 A71 2.1+ 0.0 150909 215 1.8- 0.5+ 000201 118 0.7- 0.8- 150819 A77 0.7+ 0.4+ 150909 A77 0.8+ 1.0- 000201 118 1.7- 1.3- 150819 A77 1.0+ 1.8+ 150909 A77 0.9+ 0.7- 000211 360 0.2- 0.6- 150819 H06 0.4+ 0.2- 150909 A77 0.9+ 0.5- 000211 360 0.6- 0.6- 150819 H06 0.1+ 0.4- 150910 C23 2.2- 1.0+ 2005/ 150819 H06 0.6- 0.3+ 150910 C23 1.1- 0.1- 050227 A71 (4.6+ 1.3+) 150820 C23 1.2+ 1.5- 150910 C23 0.0 0.2+ 050313 A71 (8.6+ 1.0+) 150820 C23 0.4- 0.9+ 150910 I81 0.1- 0.8- 050316 349 1.1+ 1.6- 150820 C23 (2.6+ 0.6-) 150910 I81 1.3+ 1.4- 050316 349 0.5+ 1.4- 150820 A77 1.4+ 0.4- 150910 I81 1.9+ 1.3- 050316 349 (0.9+ 2.4-) 150820 A77 1.7+ 0.3- 150910 I81 0.4+ 0.8- 050321 349 1.0- 0.7- 150820 A77 0.8+ 0.0 150911 160 0.3+ 0.5+ 050321 349 0.6- 0.4- 150821 C10 0.4- 0.6+ 150911 160 0.2+ 0.3+ 050326 349 0.8+ 0.3- 150821 C10 0.2- 0.2- 150911 B96 (0.3+ 3.5+) 050326 349 0.8+ 0.1- 150821 C10 0.2+ 0.1+ 150911 B96 0.1+ 1.3+ 050330 360 0.4+ 0.1+ 150822 B96 1.1+ 0.2- 150911 B96 0.1+ 1.4+ 050330 360 0.5+ 0.9- 150822 B96 0.4- 1.1- 150911 349 0.6- 1.4+ 050330 360 1.1+ 0.0 150822 B96 0.1+ 0.1- 150911 349 1.2- 0.9+ 050330 360 0.4+ 0.1- 150822 A77 0.7+ 0.1+ 150911 D95 0.3+ 0.8+ 050413 213 2.0- 0.0 150822 A77 0.9+ 0.2- 150911 D95 0.0 0.4+ 050413 213 1.7- 0.2+ 150823 B96 0.9- 0.1+ 150911 D95 0.1+ 0.4- 2015/ 150823 B96 1.1- 1.4- 150912 160 0.0 0.5+ 150524 C51 1.6- 0.5- 150823 A71 0.6- 0.0 150912 160 0.2- 1.5+ 150524 C51 0.7+ 0.4+ 150823 B96 (1.3- 3.5-) 150912 160 2.0- 2.2+ 150524 C51 0.4- 1.0+ 150823 A71 1.3- 0.4+ 150912 349 0.1- 1.0+ 150524 C51 (0.6+ 2.3-) 150823 A71 0.9- 0.1+ 150912 349 0.5+ 0.2+ 150525 C51 0.6+ 1.0- 150823 J22 (2.6- 0.4-) 150913 A71 0.7- 0.2- 150525 C51 0.6- 0.0 150823 J22 1.3- 0.5+ 150913 A71 0.6- 0.7+ 150525 C51 0.9+ 0.7+ 150823 J22 1.2- 0.0 150913 A71 0.0 0.7+ 150525 C51 0.9- 0.2- 150825 B51 0.7- 0.3+ 150913 A71 0.8+ 0.3- 150525 C51 0.6- 0.9+ 150825 B51 1.9- 1.5+ 150913 A71 1.3+ 0.1- 150525 C51 0.2+ 1.1+ 150826 I81 1.4+ 0.4- 150913 I81 (4.9+ 1.6-) 150525 C51 0.2+ 1.7+ 150826 I81 0.3+ 0.0 150913 I81 (4.1+ 1.4-) 150525 C51 0.8- 0.5+ 150826 I81 0.9+ 0.1- 150913 I81 1.5+ 0.7- 150525 C51 1.4- 0.1+ 150826 A71 0.8+ 0.6+ 150913 J22 0.4+ 0.8+ 150525 C51 1.5+ 0.0 150826 A71 0.5+ 0.3- 150913 J22 0.1+ 0.9- 150525 C51 0.4+ 0.6+ 150826 A71 1.1- 0.4+ 150913 J22 0.0 0.3- 150526 C51 1.2- 0.0 150826 A71 1.0- 0.2+ 150914 A71 0.8- 1.5+ 150526 C51 0.6- 0.8- 150826 B51 0.7- 0.1+ 150914 A71 0.4+ 0.5- 150526 C51 1.6- 1.1- 150826 A71 0.7- 1.0+ 150914 W96 0.8- 0.4+ 150526 C51 0.4- 1.1+ 150826 A71 0.6- 0.5- 150914 W96 0.1- 1.2- 150526 C51 0.3- 0.5- 150826 215 1.6- 0.5+ 150915 H06 1.9+ 0.4+ 150526 C51 0.4+ 0.7- 150826 A71 0.6+ 0.1- 150915 H06 1.3+ 0.8+ 150526 C51 0.1+ 1.1+ 150826 215 0.6- 0.3+ 150918 A77 1.2+ 2.2+ 150526 C51 0.3+ 1.0+ 150826 215 0.6- 0.1+ 150918 A77 0.9+ 0.4- 150526 C51 0.9- 1.4+ 150826 B51 0.9- 0.3+ 150920 G40 0.3- 0.0 150526 C51 1.4- 1.9+ 150826 C95 1.9- 1.4+ 150920 G40 0.1+ 0.1+ 150526 C51 0.1- 0.1+ 150826 B51 1.3- 0.8+ 150920 D95 0.0 0.6+ 150527 C51 0.1+ 0.4+ 150826 C95 0.7- 1.2+ 150920 D95 0.4- 0.2+ 150527 C51 0.8- 0.8+ 150826 C95 1.2- 1.0+ 150920 D95 0.3- 0.2+ 150527 C51 0.4- 0.3- 150826 A77 1.0+ 0.2- 150921 A71 0.3- 0.2+ 150527 C51 0.2- 0.5- 150826 A77 1.1+ 0.2- 150921 A71 0.6+ 1.6+ 150527 C51 0.6- 0.1+ 150826 A77 1.3+ 0.7- 150921 C23 0.9- 0.9- 150527 C51 1.0- 0.2- 150826 J43 0.7- 0.1- 150921 C23 1.4- 0.2- 150527 C51 0.1- 0.4+ 150826 J43 0.5- 0.3+ 150921 C23 0.9- 0.2+ 150528 C51 1.1- 0.3+ 150826 J43 0.2+ 0.1- 150921 367 0.7- 0.6+ 150528 C51 0.0 0.5+ 150826 W96 1.1- 0.3- 150921 367 0.3- 0.4+ 150528 C51 0.2- 0.4+ 150826 W96 1.0- 1.9+ 150921 367 0.8- 0.5+ 150528 C51 1.8- 0.9- 150826 H06 1.2- 0.3+ 150922 J22 0.1- 0.4+ 150529 C51 0.2+ 0.3+ 150826 H06 1.6- 1.0+ 150922 J22 0.3- 0.5+ 150711 215 1.0+ 0.7- 150826 367 0.8- 0.5+ 150922 J22 1.6- 1.9+ 150711 215 1.5+ 0.3- 150826 367 0.6- 0.7+ 150927 C23 (3.1- 0.7+) 150711 215 (3.1+ 0.1+) 150826 367 0.7- 0.5+ 150927 C23 0.7+ 0.1+ 150714 A77 (3.2+ 3.1-) 150827 A77 0.1+ 0.5- 150927 C23 0.5- 1.4+ 150714 A77 (2.7+ 0.5-) 150827 A77 0.1- 0.8- 150927 C23 1.2+ 0.1- 150716 A77 (5.6+ 0.4-) 150827 A77 0.5+ 0.2- 150928 C10 0.2+ 0.5+ 150716 A77 (3.1+ 0.4-) 150828 A71 1.9- 0.9+ 150928 C10 0.1- 0.4+ 150716 A77 (6.3+ 0.1-) 150828 A71 0.4- 0.2- 150930 G40 0.2+ 0.2- 150716 W96 (5.1+ 1.5-) 150828 A71 1.2+ 0.2- 150930 G40 0.9+ 0.3+ 150716 W96 (3.4+ 1.6-) 150829 C23 0.6- 0.4+ 151003 349 1.9+ 0.3- 150717 A77 (4.1+ 0.6-) 150829 C23 0.2+ 0.0 151003 349 (2.7+ 1.3-) 150717 A77 (5.6+ 1.3-) 150829 C23 1.0- 0.8+ 151009 585 0.3+ 0.4- 150718 C10 (4.3+ 4.2-) 150829 J22 1.5+ 0.3- 151009 585 0.5+ 0.8- 150718 C10 (2.7+ 3.1-) 150829 J22 0.1- 0.2- 151009 367 0.7+ 0.4+ 150718 C10 (2.9+ 1.6+) 150829 J22 0.0 0.2- 151009 367 0.8+ 1.4+ 150718 C10 1.9+ 0.8- 150830 213 1.3+ 1.6- 151011 C10 2.1+ 0.3+ 150718 C10 (3.2+ 2.2-) 150830 213 1.1+ 1.5- 151011 C10 (0.5- 6.7+) 150718 A77 (6.3+ 0.7-) 150830 213 1.0+ 0.3- 151016 585 1.7+ 0.0 150718 C10 2.1+ 1.8- 150830 G40 0.6- 0.9+ 151016 585 1.8+ 0.9- 150718 A77 (5.3+ 2.6-) 150830 G40 0.3- 0.5+ 151016 585 1.7+ 1.3- 150718 349 2.2+ 0.5- 150830 G40 0.4- 0.8+ 151016 D95 1.3+ 0.9- 150718 349 (2.8+ 0.1+) 150831 C10 1.0- 0.4- 151016 D95 1.4+ 0.1- 150723 W96 (2.8+ 1.2-) 150831 C10 1.0- 2.2+ 151017 367 0.9+ 0.1- 150723 W96 (1.5+ 4.7-) 150831 C10 1.2- 1.2+ 151017 367 1.5+ 0.6+ 150725 367 0.8+ 1.6- 150903 W96 0.1- 0.7- 151020 160 0.5+ 0.3+ 150725 367 1.0+ 2.1- 150905 U69 0.7+ 0.7+ 151020 160 1.1+ 1.1+ 150727 372 0.6+ 2.0- 150905 U69 1.2- 0.2+ 151020 160 (2.6+ 2.7+) 150727 372 0.8+ 2.1- 150905 U69 0.1- 0.3- ( ) -------- Rejected Obs.

Associate of the CBAT Syuichi Nakano 2017 Sept. 27

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