Nakano Note (Nakano wa Kangaeru noda) NK 4339 141P/Machholz 2 - I (Principal component A in 2015 & Inner component in 2020; I was degignated, temporarily)
The following improved orbital elements, by S. Nakano, are from 262 observations 2015 to 2021, the observations of principal component A in 2015 and observations of Inner component in 2020. Planetary perturbations by Mercury to Neptune and three minor planets, Ceres, Pallas, Vesta, and non-gravitational effect of style II were taken into account. The mean residual is +/- 1.10 arc seconds. The comet has passed 0.93 AU from Jupiter on 2017 Oct. 13.8 UT. Inner component in 2020 might be a new fragment split from the principal component A in the previous return. If this is correct, the inner object was ejected with the velocity = -0.51 m/s at 2015 perihelion (Revolution velocity of principal component = 43.06 Km/s at that time) using Kozai's theory (Proc. Japan Academy, 78B, 84-60, 2002). 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, NK 2996 (Nucleus H), NK 3435 (HICQ 2020), NK 4183 (= CBET 4834) and NK 4340 (Nucleus D). Epoch = 2020 Dec. 17.0 TT T = 2020 Dec. 15.84285 +/- 0.00024 (m.e.) TT Peri. = 153.53847 +/- 0.00045 Node = 241.85025 +/- 0.00025 (2000.0) Inc. = 13.94461 +/- 0.00005 q = 0.8079114 +/- 0.0000014 AU e = 0.7355727 +/- 0.0000021 a = 3.0553256 +/- 0.0000246 AU n' = 0.18455160 +/- 0.00000223 P = 5.341 +/- 0.0000645 years A1 = +1.331 +/- 0.072 A2 = -0.21302 +/- 0.01668 T = 2015 Aug. 25.02199 TT Epoch = 2015 Aug. 6.0 TT Peri. = 149.47618 e = 0.7481428 Node = 246.01793 (2000.0) a = 3.0210196 AU Inc. = 12.80990 n'= 0.18770410 q = 0.7608655 AU P = 5.251 years Epoch changed orbit for the 2021 January is as follows: T = 2020 Dec. 15.84175 TT Epoch = 2021 Jan. 26.0 TT Peri. = 153.53594 e = 0.7356027 Node = 241.85007 (2000.0) a = 3.0556335 AU Inc. = 13.94448 n'= 0.18452371 q = 0.8079011 AU P = 5.341 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 2015/ 150822 B96 0.8- 0.2- 150911 B96 0.1+ 1.0+ 150524 C51 2.0- 0.6- 150822 A77 0.2- 0.0 150911 349 0.5- 0.9+ 150524 C51 0.3+ 0.3+ 150822 A77 0.0 0.3- 150911 349 1.1- 0.4+ 150524 C51 0.7- 0.9+ 150823 B96 1.7- 0.1- 150911 D95 0.3+ 0.4+ 150524 C51 0.3+ 2.4- 150823 B96 2.0- 1.5- 150911 D95 0.0 0.1- 150525 C51 0.2+ 1.1- 150823 A71 1.5- 0.1- 150911 D95 0.2+ 0.9- 150525 C51 0.9- 0.0 150823 B96 (2.2- 3.6-) 150912 160 0.1+ 0.0 150525 C51 0.5+ 0.6+ 150823 A71 2.2- 0.3+ 150912 160 0.2- 1.0+ 150525 C51 1.2- 0.3- 150823 A71 1.8- 0.0 150912 160 1.9- 1.8+ 150525 C51 1.0- 0.9+ 150823 J22 (3.5- 0.5-) 150912 349 0.0 0.5+ 150525 C51 0.1- 1.1+ 150823 J22 2.2- 0.4+ 150912 349 0.5+ 0.2- 150525 C51 0.1- 1.6+ 150823 J22 2.0- 0.1- 150913 A71 0.6- 0.6- 150525 C51 1.1- 0.4+ 150825 B51 1.4- 0.1+ 150913 A71 0.5- 0.2+ 150525 C51 1.7- 0.0 150825 B51 2.7- 1.3+ 150913 A71 0.1+ 0.2+ 150525 C51 1.2+ 0.1- 150826 I81 0.7+ 0.6- 150913 A71 0.9+ 0.7- 150525 C51 0.1+ 0.5+ 150826 I81 0.4- 0.1- 150913 A71 1.4+ 0.6- 150526 C51 1.6- 0.1- 150826 I81 0.1+ 0.2- 150913 I81 (5.0+ 2.1-) 150526 C51 1.0- 0.9- 150826 A71 0.1+ 0.4+ 150913 I81 (4.2+ 1.9-) 150526 C51 1.9- 1.2- 150826 A71 0.2- 0.5- 150913 I81 1.6+ 1.2- 150526 C51 0.7- 1.0+ 150826 A71 1.8- 0.2+ 150913 J22 0.5+ 0.3+ 150526 C51 0.6- 0.5- 150826 A71 1.7- 0.1+ 150913 J22 0.2+ 1.4- 150526 C51 0.1+ 0.8- 150826 B51 1.4- 0.1- 150913 J22 0.1+ 0.8- 150526 C51 0.2- 1.0+ 150826 A71 1.4- 0.9+ 150914 A71 0.7- 1.0+ 150526 C51 0.1- 0.9+ 150826 A71 1.3- 0.7- 150914 A71 0.5+ 1.0- 150526 C51 1.2- 1.4+ 150826 215 2.3- 0.4+ 150914 W96 0.6- 0.1- 150526 C51 1.8- 1.8+ 150826 A71 0.1- 0.3- 150914 W96 0.1+ 1.7- 150526 C51 0.4- 0.0 150826 215 1.3- 0.1+ 150915 H06 2.0+ 0.2- 150527 C51 0.2- 0.3+ 150826 215 1.3- 0.1- 150915 H06 1.5+ 0.3+ 150527 C51 1.1- 0.8+ 150826 B51 1.6- 0.2+ 150918 A77 1.5+ 1.7+ 150527 C51 0.7- 0.3- 150826 C95 2.6- 1.2+ 150918 A77 1.3+ 0.9- 150527 C51 0.5- 0.6- 150826 B51 2.1- 0.6+ 150920 G40 0.1+ 0.6- 150527 C51 0.9- 0.1+ 150826 C95 1.4- 1.1+ 150920 G40 0.5+ 0.5- 150527 C51 1.3- 0.2- 150826 C95 2.0- 0.8+ 150920 D95 0.4+ 0.1- 150527 C51 0.4- 0.3+ 150826 A77 0.2+ 0.3- 150920 D95 0.0 0.4- 150528 C51 1.4- 0.3+ 150826 A77 0.4+ 0.3- 150920 D95 0.1+ 0.4- 150528 C51 0.2- 0.5+ 150826 A77 0.6+ 0.9- 150921 A71 0.2+ 0.4- 150528 C51 0.5- 0.4+ 150826 J43 1.4- 0.2- 150921 A71 1.0+ 0.9+ 150528 C51 2.1- 0.9- 150826 J43 1.2- 0.1+ 150921 C23 0.4- 1.5- 150529 C51 0.1- 0.3+ 150826 J43 0.5- 0.3- 150921 C23 0.9- 0.8- 150607 160(27.7- 5.5+) 150826 W96 1.8- 0.5- 150921 C23 0.5- 0.4- 150607 160(29.9- 5.7+) 150826 W96 1.7- 1.8+ 150921 367 0.2- 0.0 150711 215 0.2+ 1.0- 150826 H06 2.0- 0.1+ 150921 367 0.2+ 0.2- 150711 215 0.7+ 0.6- 150826 H06 2.3- 0.8+ 150921 367 0.4- 0.1- 150711 215 2.4+ 0.2- 150826 367 1.5- 0.3+ 150922 J22 0.3+ 0.3- 150714 A77 (2.3+ 3.4-) 150826 367 1.3- 0.5+ 150922 J22 0.2+ 0.1- 150714 A77 1.8+ 0.9- 150826 367 1.3- 0.3+ 150922 J22 1.1- 1.3+ 150716 A77 (4.6+ 0.7-) 150827 A77 0.6- 0.7- 150927 C23 2.4- 0.0 150716 A77 2.1+ 0.7- 150827 A77 0.7- 1.0- 150927 C23 1.4+ 0.7- 150716 A77 (5.3+ 0.5-) 150827 A77 0.2- 0.3- 150927 C23 0.2+ 0.7+ 150716 W96 (4.1+ 1.9-) 150828 A71 2.5- 0.7+ 150927 C23 1.9+ 0.9- 150716 W96 2.4+ 2.0- 150828 A71 1.1- 0.4- 150928 C10 0.9+ 0.3- 150717 A77 (3.1+ 1.0-) 150828 A71 0.6+ 0.3- 150928 C10 0.6+ 0.4- 150717 A77 (4.6+ 1.7-) 150829 C23 1.2- 0.2+ 150930 G40 1.0+ 0.9- 150718 C10 (3.2+ 4.5-) 150829 C23 0.4- 0.2- 150930 G40 1.7+ 0.5- 150718 C10 (1.6+ 3.5-) 150829 C23 1.6- 0.6+ 151003 349 2.8+ 1.2- 150718 C10 1.8+ 1.2+ 150829 J22 0.9+ 0.5- 151003 349 (3.7+ 2.2-) 150718 C10 0.8+ 1.2- 150829 J22 0.7- 0.4- 151009 585 1.5+ 1.3- 150718 C10 2.2+ 2.6- 150829 J22 0.6- 0.4- 151009 585 1.7+ 1.7- 150718 A77 (5.2+ 1.1-) 150830 213 0.8+ 1.8- 151009 367 1.9+ 0.6- 150718 C10 1.0+ 2.2- 150830 213 0.6+ 1.7- 151009 367 1.9+ 0.5+ 150718 A77 (4.2+ 3.0-) 150830 213 0.4+ 0.5- 151011 C10 (3.3+ 0.7-) 150718 349 1.1+ 0.9- 150830 G40 1.1- 0.7+ 151011 C10 (0.8+ 5.8+) 150718 349 1.7+ 0.2- 150830 G40 0.8- 0.3+ 151016 585 (3.1+ 1.0-) 150723 W96 1.5+ 1.6- 150830 G40 1.0- 0.6+ 151016 585 (3.2+ 1.8-) 150723 W96 (0.3+ 5.0-) 150831 C10 1.5- 0.6- 151016 585 (3.1+ 2.3-) 150725 367 0.5- 1.9- 150831 C10 1.5- 2.0+ 151016 D95 2.7+ 1.9- 150725 367 0.3- 2.4- 150831 C10 1.7- 1.0+ 151016 D95 2.8+ 1.0- 150727 372 0.8- 2.3- 150903 W96 0.4- 1.0- 151017 367 2.3+ 1.1- 150727 372 0.6- 2.4- 150905 U69 0.4+ 0.4+ 151017 367 2.9+ 0.4- 150728 G40 1.1- 1.2- 150905 U69 1.5- 0.1- 151020 160 2.1+ 0.8- 150728 G40 0.7- 0.7- 150905 U69 0.3- 0.6- 151020 160 2.7+ 0.1+ 150728 G40 0.9- 1.3- 150907 A71 0.5- 0.1- 151020 160 (4.1+ 1.7+) 150813 215 1.3- 0.5- 150907 A71 0.1- 0.7- 2020/ 150813 215 0.9- 0.5+ 150907 A71 0.4- 0.7- 201207 A71 (7.5- 3.2+) 150813 215 1.2- 0.1+ 150907 A71 0.4+ 0.8+ 201207 A71 (8.0- 2.7-) 150816 I81 2.1+ 1.6- 150907 A71 0.7- 0.1+ 201208 A77 (4.4- 2.2+) 150816 I81 2.2+ 1.7- 150907 I81 0.8+ 1.0- 201208 A77 2.6- 2.5+ 150816 I81 1.8+ 1.1- 150907 A71 0.6- 0.3- 201208 A77 1.5- 1.9+ 150817 152 (1.2+ 3.1-) 150907 I81 2.5+ 1.2- 201208 194 (5.5- 1.7-) 150817 152 (3.0- 1.1+) 150907 I81 1.6+ 1.4- 201208 194 (4.5- 2.3+) 150817 152 2.1- 1.4+ 150907 160 0.0 0.7- 201210 A77 0.5+ 1.1+ 150818 152 1.3- 0.4+ 150907 160 0.5- 2.0+ 201210 A77 0.3- 0.5- 150819 A71 0.8+ 0.0 150907 160 0.6+ 2.4+ 201213 J04 2.0- 0.1+ 150819 A71 1.1+ 0.1- 150909 215 0.3+ 0.4- 201213 J04 1.3- 0.2+ 150819 A77 0.3- 0.3+ 150909 215 0.2+ 0.3- 201213 J04 1.8- 1.0+ 150819 A77 0.0 1.7+ 150909 215 1.8- 0.1+ 201218 A71 0.8+ 2.2- 150819 H06 0.6- 0.3- 150909 A77 0.7+ 1.4- 201218 A71 0.8+ 0.4+ 150819 H06 0.9- 0.5- 150909 A77 0.8+ 1.1- 201218 A71 0.4- 3.3+ 150819 H06 1.6- 0.2+ 150909 A77 0.8+ 0.9- 201229 A77 (1.6+ 6.0-) 150820 C23 0.3+ 1.6- 150910 C23 2.2- 0.6+ 201229 A77 (4.4+ 0.2-) 150820 C23 1.3- 0.8+ 150910 C23 1.2- 0.5- 201229 A77(18.0+ 3.1+) 150820 C23 1.6+ 0.7- 150910 C23 0.0 0.2- 201231 A71 0.3+ 0.6+ 150820 A77 0.4+ 0.5- 150910 I81 0.1- 1.2- 2021/ 150820 A77 0.8+ 0.4- 150910 I81 1.2+ 1.8- 210101 A71 1.2+ 0.9- 150820 A77 0.2- 0.1- 150910 I81 1.9+ 1.8- 210101 A71 0.0 0.2- 150821 C10 1.3- 0.5+ 150910 I81 0.4+ 1.2- 210103 Z84 1.1+ 0.7+ 150821 C10 1.1- 0.3- 150911 160 0.3+ 0.0 210103 Z84 0.2+ 0.3+ 150821 C10 0.7- 0.0 150911 160 0.2+ 0.2- 210103 Z84 0.1+ 0.4- 150822 B96 0.2+ 0.3- 150911 B96 (0.3+ 3.0+) 210103 Z84 0.1+ 0.1+ 150822 B96 1.3- 1.2- 150911 B96 0.1+ 0.8+ 210103 Z84 0.5+ 0.3+ ( ) -------- Rejected Obs.
Associate of the CBAT Syuichi Nakano 2021 Jan. 5