Nakano Note (Nakano wa Kangaeru noda) NK 2341 120P/Mueller 1

The following improved orbital elements, by S. Nakano, are from 105 observations 1987 to 2012, including planetary perturbations by Mercury to Neptune and three minor planets, Ceres, Pallas, Vesta, and non-gravitational effect of sublimating molecule = CO (or N2) using Yabushita's theory (MN 283, 347). The mean residual is +/- 0.78 arc second. The residuals for 2012 August observations from an orbit in NK 1918 (= HICQ 2012) were +10" (R. A.) and +6" (Decl.) with the delta-T correction = -0.01 day. See the previous orbits in NK 590 (= MPC 22030), NK 790, NK 1268 and NK 1918. Epoch = 2013 Mar. 9.0 TT T = 2013 Feb. 22.42459 +/- 0.00476 (m.e.) TT Peri. = 30.11244 +/- 0.00107 Node = 4.45016 +/- 0.00013 (2000.0) Inc. = 8.79675 +/- 0.00003 q = 2.7290361 +/- 0.0000022 AU e = 0.3389824 +/- 0.0000019 a = 4.1285375 +/- 0.0000030 AU n' = 0.11749239 +/- 0.00000013 P = 8.389 +/- 0.0000091 years Y1 = +0.182 +/- 0.085 Y2 = -0.00498 +/- 0.00033 T = 1987 Dec. 4.10489 TT Epoch = 1987 Nov. 21.0 TT Peri. = 30.28662 e = 0.3376407 Node = 4.64505 (2000.0) a = 4.1466983 AU Inc. = 8.80041 n'= 0.11672138 q = 2.7466041 AU P = 8.444 years T = 1996 Apr. 24.65267 TT Epoch = 1996 Apr. 27.0 TT Peri. = 29.91658 e = 0.3373702 Node = 4.56264 (2000.0) a = 4.1342722 AU Inc. = 8.79606 n'= 0.11724801 q = 2.7394918 AU P = 8.406 years T = 2004 Sept.30.12391 TT Epoch = 2004 Oct. 2.0 TT Peri. = 30.17125 e = 0.3367581 Node = 4.46073 (2000.0) a = 4.1414929 AU Inc. = 8.78707 n'= 0.11694151 q = 2.7468115 AU P = 8.428 years The predicted orbit for the 2021 return is as follows: T = 2021 May 7.10105 TT Epoch = 2021 May 26.0 TT Peri. = 36.55636 e = 0.3745023 Node = 358.67109 (2000.0) a = 3.9613263 AU Inc. = 8.48969 n'= 0.12500954 q = 2.4778004 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/ 950801 691 (1.5- 2.1+) 040918 461 0.0 0.1- 871018 675 0.0 0.6+ 950828 950(48.2+ 8.2+) 041021 704 0.4- 1.6- 871019 675 1.4- 0.1- 950828 950(47.2+ 6.0+) 041021 704 1.5- 1.6- 871020 675 1.4- 1.3+ 950830 693 0.0 1.4- 041021 704 1.5- 1.0- 871021 675 2.7- 0.6+ 950830 693 1.1- 1.2- 041021 704 1.6- 0.9- 871021 372 (0.3- 3.1-)Y 950902 691 0.3- 0.4+ 041021 360 0.3- 0.5- 871021 372 1.2+ 2.1- Y 950902 691 0.2- 0.0 041021 360 0.4- 0.4- 871022 801 (2.8+ 7.4+) 950902 691 0.8- 0.1+ 041021 360 0.0 0.5+ 871023 801 (3.2- 1.7+) 951022 691 0.3+ 0.5+ 041022 213 0.3+ 0.1- 871024 801 0.2+ 2.2+ 951022 691 1.7+ 1.0+ 041022 213 0.4+ 0.1- 871026 691 0.5- 0.3- 951028 693 0.8+ 0.9+ 041102 213 0.4+ 0.8+ 871026 691 0.4+ 0.0 951028 693 0.4+ 1.3+ 041102 213 0.5+ 0.7+ 871026 691 0.1+ 0.1- 951028 693 0.5- 1.0+ 041102 213 0.2+ 0.8+ 871027 691 0.1+ 0.1- 951116 691 1.7- 0.3- 041106 360 0.2+ 0.1+ 871027 691 0.1+ 0.1- 951116 691 0.6+ 0.2+ 041106 360 0.2+ 0.3+ 871027 372 0.3+ 0.7- Y 951116 691 0.4+ 0.4+ 041106 360 0.2+ 0.6+ 871028 675 0.3- 1.8- Y 1996/ 041116 850 0.5+ 0.3+ 871028 675 (0.9+ 3.8-)Y 960121 691 1.3+ 1.0+ 041116 850 0.3- 0.2- 871116 691 0.0 0.5- 960121 691 0.9+ 1.0+ 041120 A32 (2.1+ 0.7-) 871116 691 0.7- 0.1- 961113 867 0.6- 0.4+ 041121 A32 (3.0+ 0.5-) 871124 691 0.4+ 0.2+ 961113 867 1.4- 0.4+ 041208 360 0.5+ 1.3+ 871124 691 0.2+ 0.4- 961118 691 0.6+ 0.3- 041208 360 0.8+ 0.5+ 871221 691 1.4+ 0.5+ 961118 691 0.5- 0.1+ 041208 360 0.7+ 0.0 871221 691 0.4- 0.9- 961118 691 0.0 0.1+ 2012/ 871221 691 0.3- 0.7- 961203 867 0.7+ 0.0 120724 188 0.1+ 0.3- 871223 691 1.0+ 0.7+ 961203 867 0.4- 0.1+ 120724 188 0.4+ 0.3- 871223 691 1.2+ 0.3+ 961214 691 0.5+ 0.5+ 120724 188 0.7+ 0.2+ 1988/ 961214 691 0.4+ 0.5+ 120724 188 0.4- 0.4- 880115 691 0.5+ 0.7- 961214 691 1.0+ 0.6+ 120727 C10(11.0- 4.0-) 880115 691 0.0 0.5- 2003/ 120727 C10 (4.4- 0.9+) 880212 691 0.9+ 1.0- 031119 568 0.5- 1.1- 120816 188 0.6+ 0.3- 880212 691 1.8+ 0.5+ 031119 568 0.6- 0.9- 120816 188 0.5+ 0.1- 880212 691 0.9+ 0.3- 2004/ 120816 188 0.6+ 0.4- 880213 691 0.8+ 0.7+ 040915 291 0.1- 0.2+ 120816 188 0.8+ 0.3- 880213 691 0.1- 0.1- 040915 291 0.9- 0.1+ 120911 D90 (0.0 2.5-) 880213 691 0.9- 0.8+ 040915 291 0.4- 0.1+ 120911 D90 0.7+ 1.8- 1995/ 040916 291 0.4- 0.7+ 120917 G96 0.3+ 0.7- 950730 691 0.5- 1.4+ 040916 291 0.8- 0.0 120917 G96 0.1+ 1.0- 950730 691 0.9- 1.9+ 040916 291 0.7+ 0.5+ 120917 G96 0.6+ 1.0- 950730 691 0.2+ 1.4+ 040918 461 0.6+ 0.4+ 120917 G96 0.4+ 0.3- 950801 691 1.4- 1.2+ 040918 461 0.1+ 0.2+ 950801 691 1.3- 0.5+ 040918 461 0.3- 0.4+ ( ) -------- Rejected Obs.

Associate of Central Bureau for Astronomical Telegrams Syuichi Nakano 2012 Sept. 20

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