Nakano Note (Nakano wa Kangaeru noda) NK 2995 141P/Machholz 2 - A

The following improved orbital elements, by S. Nakano, are from 131 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 +/- 0.87 arc second. The recent observations are still running off from the latest orbit in NK 2988 (= HICQ 2015). The observations on late August show the residuals of +10" mainly Right Ascension. 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 NK 2988. Epoch = 2015 Aug. 6.0 TT T = 2015 Aug. 25.02034 +/- 0.00009 (m.e.) TT Peri. = 149.47380 +/- 0.00023 Node = 246.01791 +/- 0.00016 (2000.0) Inc. = 12.80994 +/- 0.00003 q = 0.7608790 +/- 0.0000005 AU e = 0.7481861 +/- 0.0000007 a = 3.0215920 +/- 0.0000027 AU n' = 0.18765077 +/- 0.00000025 P = 5.252 +/- 0.0000070 years A1 = -0.021 +/- 0.015 A2 = +0.02736 +/- 0.00003 T = 2005 Feb. 28.24639 TT Epoch = 2005 Mar. 11.0 TT Peri. = 149.27453 e = 0.7501433 Node = 246.16568 (2000.0) a = 3.0129600 AU Inc. = 12.79593 n'= 0.18845776 q = 0.7528083 AU P = 5.230 years [ T = 2010 May 24.52563 TT Epoch = 2010 June 13.0 TT Peri. = 149.35953 e = 0.7489120 Node = 246.08987 (2000.0) a = 3.0178525 AU Inc. = 12.80314 n'= 0.18799966 q = 0.7577465 AU P = 5.243 years ] The predicted orbit for the 2020 return is as follows: T = 2020 Dec. 16.25989 TT Epoch = 2020 Dec. 17.0 TT Peri. = 153.54540 e = 0.7356782 Node = 241.84950 (2000.0) a = 3.0566563 AU Inc. = 13.94467 n'= 0.18443110 q = 0.8079411 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/ 150526 C51 0.6+ 0.8- 150813 215 0.4- 0.8+ 000125 402 (3.2+ 0.3+) 150526 C51 0.2+ 1.0+ 150816 I81 (3.0+ 1.0-) 000125 402 (3.4+ 0.1-) 150526 C51 0.4+ 1.0+ 150816 I81 (3.2+ 1.1-) 000125 402 0.0 0.6- 150526 C51 0.7- 1.4+ 150816 I81 (2.8+ 0.6-) 000125 118 0.8+ 1.3+ 150526 C51 1.3- 1.8+ 150819 A71 1.9+ 0.5+ 000125 118 0.3+ 0.8+ 150526 C51 0.1+ 0.1+ 150819 A71 2.1+ 0.4+ 000125 118 0.4+ 1.5+ 150527 C51 0.3+ 0.3+ 150819 A77 0.8+ 0.8+ 000128 402 0.4+ 0.8- 150527 C51 0.6- 0.8+ 150819 A77 (1.1+ 2.3+) 000128 402 0.5- 0.3- 150527 C51 0.3- 0.3- 150820 C23 1.3+ 1.1- 000128 402 1.3- 0.2+ 150527 C51 0.1- 0.6- 150820 C23 0.3- 1.3+ 000128 360 0.8+ 0.5- 150527 C51 0.5- 0.1+ 150820 C23 (2.7+ 0.2-) 000128 360 1.0+ 0.1- 150527 C51 0.9- 0.2- 150820 A77 1.5+ 0.0 000201 118 0.5- 0.7- 150527 C51 0.0 0.3+ 150820 A77 1.8+ 0.1+ 000201 118 1.5- 1.2- 150528 C51 1.0- 0.2+ 150820 A77 0.9+ 0.4+ 000211 360 0.1+ 0.5- 150528 C51 0.1+ 0.4+ 150821 C10 0.2- 1.0+ 000211 360 0.3- 0.4- 150528 C51 0.1- 0.3+ 150821 C10 0.0 0.2+ 2005/ 150528 C51 1.7- 1.0- 150821 C10 0.3+ 0.5+ 050227 A71 (4.0+ 1.2+) 150529 C51 0.2+ 0.2+ 150822 B96 1.3+ 0.1+ 050313 A71 (8.3+ 0.9+) 150607 160(27.7- 5.2+) 150822 B96 0.2- 0.8- 050316 349 0.8+ 1.7- 150607 160(30.0- 5.3+) 150822 B96 0.3+ 0.2+ 050316 349 0.3+ 1.4- 150711 215 1.0- 1.2- 150822 A77 0.9+ 0.4+ 050316 349 (0.7+ 2.5-) 150711 215 0.5- 0.8- 150822 A77 1.1+ 0.2+ 050321 349 1.2- 0.8- 150711 215 1.1+ 0.4- 150823 B96 0.6- 0.4+ 050321 349 0.8- 0.5- 150714 A77 (1.1+ 3.4-) 150823 B96 0.9- 1.1- 050326 349 0.8+ 0.4- 150714 A77 0.7+ 0.9- 150823 B96 (1.1- 3.1-) 050326 349 0.8+ 0.1- 150716 A77 (3.5+ 0.6-) 150825 B51 0.3- 0.6+ 050330 360 0.4+ 0.1+ 150716 A77 1.0+ 0.6- 150825 B51 1.6- 1.7+ 050330 360 0.5+ 0.9- 150716 A77 (4.2+ 0.4-) 150826 I81 1.8+ 0.2- 050330 360 1.2+ 0.0 150716 W96 (3.1+ 1.7-) 150826 I81 0.7+ 0.3+ 050330 360 0.5+ 0.1- 150716 W96 1.4+ 1.9- 150826 I81 1.3+ 0.2+ 050413 213 1.7- 0.0 150717 A77 2.1+ 0.8- 150826 B51 0.3- 0.3+ 050413 213 1.3- 0.2+ 150717 A77 (3.6+ 1.5-) 150826 215 1.2- 0.8+ 2015/ 150718 C10 (2.3+ 4.3-) 150826 215 0.2- 0.6+ 150524 C51 1.4- 0.5- 150718 C10 (0.7+ 3.2-) 150826 215 0.2- 0.4+ 150524 C51 0.9+ 0.4+ 150718 C10 0.9+ 1.5+ 150826 B51 0.5- 0.6+ 150524 C51 0.1- 1.0+ 150718 C10 0.1- 1.0- 150826 C95 1.5- 1.6+ 150524 C51 (0.8+ 2.3-) 150718 C10 (1.2+ 2.4-) 150826 B51 0.9- 1.0+ 150525 C51 0.8+ 1.0- 150718 A77 (4.3+ 0.9-) 150826 C95 0.3- 1.5+ 150525 C51 0.4- 0.0 150718 C10 0.1+ 2.0- 150826 C95 0.8- 1.2+ 150525 C51 1.1+ 0.6+ 150718 A77 (3.3+ 2.8-) 150826 A77 1.4+ 0.1+ 150525 C51 0.7- 0.2- 150718 349 0.2+ 0.6- 150826 A77 1.5+ 0.1+ 150525 C51 0.4- 0.9+ 150718 349 0.8+ 0.0 150826 A77 1.8+ 0.4- 150525 C51 0.4+ 1.1+ 150723 W96 1.0+ 1.1- 150826 J43 0.3- 0.2+ 150525 C51 0.4+ 1.7+ 150723 W96 (0.3- 4.5-) 150826 J43 0.0 0.5+ 150525 C51 0.6- 0.5+ 150725 367 0.9- 1.3- 150826 J43 0.7+ 0.1+ 150525 C51 1.2- 0.1+ 150725 367 0.7- 1.8- 150826 W96 0.7- 0.1- 150525 C51 1.7+ 0.0 150727 372 1.0- 1.6- 150826 W96 0.6- 2.2+ 150525 C51 0.6+ 0.6+ 150727 372 0.8- 1.7- 150826 367 0.4- 0.7+ 150526 C51 1.1- 0.1- 150728 G40 1.3- 0.5- 150826 367 0.2- 0.9+ 150526 C51 0.5- 0.9- 150728 G40 0.8- 0.0 150826 367 0.2- 0.7+ 150526 C51 1.4- 1.2- 150728 G40 1.0- 0.6- 150827 A77 0.6+ 0.3- 150526 C51 0.2- 1.0+ 150813 215 0.4- 0.2+ 150827 A77 0.4+ 0.6- 150526 C51 0.1- 0.5- 150813 215 0.1- 1.2+ 150827 A77 1.0+ 0.0 ( ) -------- Rejected Obs.

Associate of the CBAT Syuichi Nakano 2015 Sept. 10

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