Nakano Note (Nakano wa Kangaeru noda) NK 4555 120P/Mueller 1

The following improved orbital elements, by S. Nakano, are from 129 observations 1987 to 2011, 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 +/- 0.79 arc second. No delta-T correction required for the prediction by T. Kobayashi in NK 3641 (= HICQ 2020-2021). The comet has passed 1.09 AU from Jupiter on 2018 Aug. 2 and will pass 1.10 AU from Jupiter on 2042 Apr. 5 UT. The observations on 2021 Oct. 4 don't belong with this comet. See the previous orbits in NK 590 (= MPC 22030), NK 790, NK 1268, NK 1918, NK 2341 and NK 3641 (= HICQ 2020/2021). Epoch = 2021 May 26.0 TT T = 2021 May 7.14797 +/- 0.00149 (m.e.) TT Peri. = 36.55975 +/- 0.00029 Node = 358.67423 +/- 0.00012 (2000.0) Inc. = 8.49006 +/- 0.00002 q = 2.4778656 +/- 0.0000019 AU e = 0.3744993 +/- 0.0000003 a = 3.9614117 +/- 0.0000037 AU n' = 0.12500550 +/- 0.00000017 P = 7.885 +/- 0.0000110 years A1 = -2.786 +/- 0.280 A2 = -0.15769 +/- 0.00325 T = 1987 Dec. 4.09164 TT Epoch = 1987 Nov. 21.0 TT Peri. = 30.28278 e = 0.3376445 Node = 4.64556 (2000.0) a = 4.1467308 AU Inc. = 8.80052 n'= 0.11672001 q = 2.7466097 AU P = 8.444 years T = 1996 Apr. 24.64762 TT Epoch = 1996 Apr. 27.0 TT Peri. = 29.91507 e = 0.3373743 Node = 4.56315 (2000.0) a = 4.1343056 AU Inc. = 8.79617 n'= 0.11724659 q = 2.7394973 AU P = 8.406 years T = 2004 Sept.30.12848 TT Epoch = 2004 Oct. 2.0 TT Peri. = 30.17196 e = 0.3367620 Node = 4.46124 (2000.0) a = 4.1415281 AU Inc. = 8.78718 n'= 0.11694002 q = 2.7468189 AU P = 8.428 years T = 2013 Feb. 22.44139 TT Epoch = 2013 Mar. 9.0 TT Peri. = 30.11548 e = 0.3389861 Node = 4.45067 (2000.0) a = 4.1285755 AU Inc. = 8.79686 n'= 0.11749076 q = 2.7290456 AU P = 8.389 years The predicted orbit for the 2029 return is as follows: T = 2029 Apr. 5.41256 TT Epoch = 2029 Apr. 14.0 TT Peri. = 36.72291 e = 0.3732163 Node = 358.61697 (2000.0) a = 3.9747074 AU Inc. = 8.47692 n'= 0.12437879 q = 2.4912818 AU P = 7.924 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 1987/ 951028 693 0.9- 1.2+ 120724 188 0.3+ 0.2+ 871018 675 0.0 0.8+ 951116 691 (2.2- 0.1-) 120724 188 0.6+ 0.2+ 871019 675 1.4- 0.1+ 951116 691 0.1+ 0.3+ 120724 188 0.9+ 0.7+ 871020 675 1.4- 1.6+ 951116 691 0.1- 0.5+ 120724 188 0.2- 0.1+ 871021 675 2.7- 0.8+ 1996/ 120727 C10(10.7- 3.5-) 871021 372 (0.2- 2.9-)Y 960121 691 0.6+ 0.8+ 120727 C10 (4.1- 1.4+) 871021 372 1.3+ 1.9- Y 960121 691 0.3+ 0.8+ 120816 188 1.1+ 0.4+ 871022 801 (2.8+ 7.7+) 961113 867 0.5- 0.1+ 120816 188 1.0+ 0.6+ 871023 801 (3.2- 1.9+) 961113 867 1.4- 0.0 120816 188 1.1+ 0.3+ 871024 801 0.2+ 2.4+ 961118 691 0.6+ 0.7- 120816 188 1.3+ 0.4+ 871026 691 0.4- 0.0 961118 691 0.4- 0.3- 120911 D90 0.5+ 1.7- 871026 691 0.4+ 0.2+ 961118 691 0.1+ 0.3- 120911 D90 1.2+ 0.9- 871026 691 0.1+ 0.1+ 961203 867 0.8+ 0.4- 120917 G96 0.8+ 0.1+ 871027 691 0.2+ 0.1+ 961203 867 0.4- 0.3- 120917 G96 0.6+ 0.1- 871027 691 0.2+ 0.2+ 961214 691 0.5+ 0.1+ 120917 G96 1.2+ 0.1- 871027 372 0.3+ 0.4- Y 961214 691 0.4+ 0.0 120917 G96 1.0+ 0.6+ 871028 675 0.3- 1.6- Y 961214 691 1.0+ 0.2+ 120919 J24 0.2- 0.3+ 871028 675 (1.0+ 3.6-)Y 2003/ 120919 J24 0.4+ 0.2- 871116 691 0.1- 0.4- 031119 568 (2.1- 1.2-) 120919 J24 0.5+ 1.6- 871116 691 0.7- 0.0 031119 568 (2.2- 1.1-) 120919 H06 0.7- 1.3- 871124 691 0.3+ 0.3+ 2004/ 120919 H06 0.6- 1.0- 871124 691 0.1+ 0.3- 040915 291 0.2- 0.2+ 120922 J24 0.4- 0.0 871221 691 1.3+ 0.4+ 040915 291 1.0- 0.1+ 120922 J24 1.8- 0.4+ 871221 691 0.6- 0.9- 040915 291 0.5- 0.1+ 120922 J24 1.0- 0.4+ 871221 691 0.4- 0.7- 040916 291 0.6- 0.7+ 120922 J24 0.6+ 0.5+ 871223 691 0.8+ 0.6+ 040916 291 0.9- 0.0 120922 J24 0.1- 0.2+ 871223 691 1.1+ 0.3+ 040916 291 0.6+ 0.5+ 121013 586 0.4+ 0.9- 1988/ 040918 461 0.5+ 0.4+ 121013 586 (3.4+ 1.4-) 880115 691 0.3+ 0.8- 040918 461 0.0 0.2+ 121016 G96 1.8+ 0.1- 880115 691 0.1- 0.5- 040918 461 0.4- 0.4+ 121016 G96 1.0+ 0.0 880212 691 0.9+ 1.1- 040918 461 0.1- 0.1- 121016 G96 0.4+ 0.5+ 880212 691 1.8+ 0.4+ 041021 704 0.6- 1.7- 121016 G96 0.9+ 0.2+ 880212 691 0.9+ 0.3- 041021 704 1.7- 1.6- 121016 G96 0.3- 0.5- 880213 691 0.8+ 0.6+ 041021 704 1.8- 1.1- 121018 C32 1.3+ 0.5+ 880213 691 0.1- 0.1- 041021 704 1.8- 1.0- 121018 C32 0.6+ 0.8+ 880213 691 0.9- 0.7+ 041021 360 0.5- 0.5- 121019 215 (2.7+ 0.1-) 1995/ 041021 360 0.6- 0.5- 121019 215 (2.3+ 0.3+) 950730 691 (0.7- 2.1+) 041021 360 0.2- 0.4+ 121019 215 1.4- 0.3+ 950730 691 (1.1- 2.6+) 041022 213 0.1+ 0.2- 2013/ 950730 691 (0.1- 2.1+) 041022 213 0.2+ 0.2- 131231 G96 0.4+ 1.2+ 950801 691 1.6- 1.9+ 041102 213 0.2+ 0.6+ 131231 G96 0.0 1.4+ 950801 691 1.5- 1.1+ 041102 213 0.3+ 0.5+ 131231 G96 0.1+ 0.1+ 950801 691 (1.7- 2.7+) 041102 213 0.1- 0.6+ 131231 G96 0.1+ 1.4+ 950828 950(47.9+ 8.8+) 041106 360 0.1- 0.1- 2020/ 950828 950(46.9+ 6.7+) 041106 360 0.0 0.1+ 200816 F51 0.0 0.2- 950830 693 0.3- 0.7- 041106 360 0.1- 0.4+ 200816 F51 0.1+ 0.1- 950830 693 1.4- 0.5- 041116 850 0.2+ 0.1+ 200816 F51 0.4- 0.4- 950902 691 0.6- 1.0+ 041116 850 0.5- 0.4- 2021/ 950902 691 0.5- 0.6+ 041120 A32 1.8+ 0.9- 211004 L59(64.8+ 85.5-) 950902 691 1.1- 0.7+ 041121 A32 (2.7+ 0.7-) 211004 L59(59.5+ 85.5-) 951022 691 0.1- 0.8+ 041208 360 0.2+ 1.1+ 211004 L59(59.3+ 83.4-) 951022 691 1.3+ 1.3+ 041208 360 0.6+ 0.2+ 211004 L59(54.1+ 81.8-) 951028 693 0.4+ 1.2+ 041208 360 0.5+ 0.3- 211105 A77 1.9+ 0.3+ 951028 693 0.0 1.5+ 2012/ 211105 A77 0.3+ 0.4- ( ) -------- Rejected Obs.

Associate of the CBAT Syuichi Nakano 2021 Nov. 16

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