Nakano Note (Nakano wa Kangaeru noda) NK 3641 120P/Mueller 1

The following improved orbital elements, by T. Kobayashi, are from 122 observations 1987 to 2013, 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 +/- 0.76 arc second. See the previous orbits in NK 590 (= MPC 22030), NK 790, NK 1268, NK 1918 and NK 2341. Epoch = 2013 Mar. 9.0 TT T = 2013 Feb. 22.43821 +/- 0.00200 (m.e.) TT Peri. = 30.11486 +/- 0.00051 Node = 4.45067 +/- 0.00011 (2000.0) Inc. = 8.79685 +/- 0.00003 q = 2.7290433 +/- 0.0000018 AU e = 0.3389862 +/- 0.0000004 a = 4.1285721 +/- 0.0000036 AU n' = 0.11749091 +/- 0.00000015 P = 8.389 +/- 0.0000108 years A1 = -1.441 +/- 0.722 A2 = -0.18403 +/- 0.00873 T = 1987 Dec. 4.09451 TT Epoch = 1987 Nov. 21.0 TT Peri. = 30.28353 e = 0.3376450 Node = 4.64556 (2000.0) a = 4.1467294 AU Inc. = 8.80052 n'= 0.11672007 q = 2.7466071 AU P = 8.444 years T = 1996 Apr. 24.64916 TT Epoch = 1996 Apr. 27.0 TT Peri. = 29.91535 e = 0.3373745 Node = 4.56315 (2000.0) a = 4.1343037 AU Inc. = 8.79617 n'= 0.11724667 q = 2.7394951 AU P = 8.406 years T = 2004 Sept.30.12809 TT Epoch = 2004 Oct. 2.0 TT Peri. = 30.17181 e = 0.3367621 Node = 4.46124 (2000.0) a = 4.1415256 AU Inc. = 8.78718 n'= 0.11694012 q = 2.7468166 AU P = 8.428 years The predicted orbit for the 2021 return is as follows: T = 2021 May 7.13795 TT Epoch = 2021 May 26.0 TT Peri. = 36.55867 e = 0.3744994 Node = 358.67385 (2000.0) a = 3.9613972 AU Inc. = 8.49001 n'= 0.12500618 q = 2.4778564 AU P = 7.884 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 1987/ 951022 691 1.6+ 1.4+ 041120 A32 (2.0+ 0.8-) 871018 675 0.1- 0.8+ 951028 693 0.6+ 1.4+ 041121 A32 (2.9+ 0.6-) 871019 675 1.4- 0.1+ 951028 693 0.3+ 1.7+ 041208 360 0.4+ 1.2+ 871020 675 1.5- 1.6+ 951028 693 0.6- 1.4+ 041208 360 0.8+ 0.3+ 871021 675 (2.8- 0.8+) 951116 691 1.9- 0.0 041208 360 0.7+ 0.2- 871021 372 (0.3- 2.9-)Y 951116 691 0.4+ 0.5+ 2012/ 871021 372 1.2+ 1.9- Y 951116 691 0.2+ 0.7+ 120724 188 0.1+ 0.1+ 871022 801 (2.7+ 7.6+) 1996/ 120724 188 0.4+ 0.1+ 871023 801 (3.3- 1.9+) 960121 691 0.9+ 1.0+ 120724 188 0.7+ 0.6+ 871024 801 (0.1+ 2.4+) 960121 691 0.6+ 1.0+ 120724 188 0.4- 0.0 871026 691 0.5- 0.1- 961113 867 0.6- 0.1+ 120727 C10(10.9- 3.6-) 871026 691 0.3+ 0.2+ 961113 867 1.5- 0.0 120727 C10 (4.3- 1.3+) 871026 691 0.0 0.0 961118 691 0.5+ 0.7- 120816 188 0.8+ 0.3+ 871027 691 0.1+ 0.1+ 961118 691 0.5- 0.3- 120816 188 0.7+ 0.5+ 871027 691 0.1+ 0.1+ 961118 691 0.0 0.3- 120816 188 0.8+ 0.2+ 871027 372 0.3+ 0.5- Y 961203 867 0.7+ 0.4- 120816 188 1.0+ 0.2+ 871028 675 0.3- 1.6- Y 961203 867 0.5- 0.3- 120911 D90 0.3+ 1.8- 871028 675 (0.9+ 3.7-)Y 961214 695 0.4+ 0.1+ 120911 D90 0.9+ 1.1- 871116 691 0.2- 0.4- 961214 695 0.3+ 0.0 120917 G96 0.5+ 0.0 871116 691 0.8- 0.0 961214 695 0.9+ 0.2+ 120917 G96 0.3+ 0.3- 871124 691 0.3+ 0.2+ 2003/ 120917 G96 0.9+ 0.3- 871124 691 0.1+ 0.3- 031119 568 1.7- 1.1- 120917 G96 0.7+ 0.4+ 871221 691 1.2+ 0.4+ 031119 568 1.8- 0.9- 120919 J24 0.5- 0.1+ 871221 691 0.6- 1.0- 2004/ 120919 J24 0.1+ 0.4- 871221 691 0.5- 0.7- 040915 291 0.0 0.3+ 120919 J24 0.2+ 1.7- 871223 691 0.8+ 0.6+ 040915 291 0.8- 0.2+ 120919 H06 1.0- 1.5- 871223 691 1.1+ 0.2+ 040915 291 0.3- 0.2+ 120919 H06 0.9- 1.2- 1988/ 040916 291 0.4- 0.8+ 120922 J24 0.7- 0.1- 880115 691 0.3+ 0.8- 040916 291 0.8- 0.1+ 120922 J24 (2.1- 0.2+) 880115 691 0.2- 0.6- 040916 291 0.7+ 0.7+ 120922 J24 1.3- 0.2+ 880212 691 0.8+ 1.2- 040918 461 0.7+ 0.6+ 120922 J24 0.3+ 0.3+ 880212 691 1.7+ 0.3+ 040918 461 0.1+ 0.3+ 120922 J24 0.4- 0.0 880212 691 0.8+ 0.4- 040918 461 0.3- 0.5+ 121013 586 0.1+ 1.1- 880213 691 0.7+ 0.6+ 040918 461 0.0 0.0 121013 586 (3.1+ 1.6-) 880213 691 0.2- 0.2- 041021 704 0.4- 1.6- 121016 G96 1.5+ 0.2- 880213 691 1.0- 0.6+ 041021 704 1.5- 1.5- 121016 G96 0.7+ 0.2- 1995/ 041021 704 1.6- 1.0- 121016 G96 0.1+ 0.3+ 950730 691 (0.5- 2.2+) 041021 704 1.6- 0.9- 121016 G96 0.6+ 0.0 950730 691 (0.9- 2.7+) 041021 360 0.3- 0.4- 121016 G96 0.6- 0.7- 950730 691 (0.2+ 2.2+) 041021 360 0.4- 0.4- 121018 C32 1.0+ 0.3+ 950801 691 (1.4- 2.0+) 041021 360 0.0 0.5+ 121018 C32 0.3+ 0.6+ 950801 691 1.3- 1.3+ 041022 213 0.3+ 0.1- 121019 215 (2.4+ 0.3-) 950801 691 (1.4- 2.9+) 041022 213 0.4+ 0.1- 121019 215 (2.1+ 0.1+) 950828 950(48.2+ 8.9+) 041102 213 0.4+ 0.8+ 121019 215 1.6- 0.1+ 950828 950(47.2+ 6.8+) 041102 213 0.5+ 0.6+ 2013/ 950830 693 0.1- 0.6- 041102 213 0.2+ 0.7+ 131231 G96 0.6+ 1.2+ 950830 693 1.1- 0.4- 041106 360 0.1+ 0.1+ 131231 G96 0.2+ 1.4+ 950902 691 0.3- 1.1+ 041106 360 0.2+ 0.3+ 131231 G96 0.3+ 0.2+ 950902 691 0.2- 0.7+ 041106 360 0.2+ 0.5+ 131231 G96 0.3+ 1.4+ 950902 691 0.8- 0.9+ 041116 850 0.4+ 0.2+ 951022 691 0.2+ 0.9+ 041116 850 0.3- 0.3- ( ) -------- Rejected Obs.

Associate of the CBAT Syuichi Nakano 2018 Aug. 3

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