Nakano Note (Nakano wa Kangaeru noda) NK 1918 120P/Mueller 1

The following improved orbital elements, by S. Nakano, are from 90 observations 1987 to 2004. Perturbations by Mercury to Neptune and three minor planets, Ceres, Pallas and Vesta, were taken into account. The mean residual is +/- 0.76 arc second. See the previous orbits in NK 590, NK 790 and NK 1268 (= HICQ 2006). Epoch = 2004 Oct. 2.0 TT T = 2004 Sept.30.11688 +/- 0.00066 (m.e.) TT Peri. = 30.16972 +/- 0.00021 Node = 4.46051 +/- 0.00015 (2000.0) Inc. = 8.78706 +/- 0.00003 q = 2.7468175 +/- 0.0000011 AU e = 0.3367624 +/- 0.0000003 a = 4.1415286 +/- 0.0000005 AU n' = 0.11694000 +/- 0.00000002 P = 8.428 +/- 0.0000017 years T = 1987 Dec. 4.08732 TT Epoch = 1987 Nov. 21.0 TT Peri. = 30.28243 e = 0.3376436 Node = 4.64484 (2000.0) a = 4.1467229 AU Inc. = 8.80040 n'= 0.11672034 q = 2.7466085 AU P = 8.444 years T = 1996 Apr. 24.63731 TT Epoch = 1996 Apr. 27.0 TT Peri. = 29.91375 e = 0.3373741 Node = 4.56242 (2000.0) a = 4.1343011 AU Inc. = 8.79605 n'= 0.11724678 q = 2.7394951 AU P = 8.406 years The predicted orbit for the 2013 return is as follows: T = 2013 Feb. 22.43337 TT Epoch = 2013 Mar. 9.0 TT Peri. = 30.11229 e = 0.3389872 Node = 4.44994 (2000.0) a = 4.1285791 AU Inc. = 8.79674 n'= 0.11749061 q = 2.7290435 AU P = 8.389 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 1987/ 1995/ 031119 568 1.3+ 0.6- 871018 675 0.3+ 0.5+ 950730 691 0.4- 1.5+ 031119 568 1.2+ 0.4- 871019 675 1.1- 0.2- 950730 691 (0.8- 2.0+) 2004/ 871020 675 1.1- 1.3+ 950730 691 0.2+ 1.5+ 040915 291 0.0 0.1+ 871021 675 2.5- 0.5+ 950801 691 1.3- 1.3+ 040915 291 0.8- 0.0 871021 372 (0.0 3.2-)Y 950801 691 1.2- 0.6+ 040915 291 0.3- 0.0 871021 372 1.5+ 2.2- Y 950801 691 (1.4- 2.2+) 040916 291 0.3- 0.6+ 871022 801 (3.0+ 7.4+) 950828 950(48.2+ 8.1+) 040916 291 0.7- 0.1- 871023 801 (2.9- 1.7+) 950828 950(47.2+ 6.0+) 040916 291 0.8+ 0.4+ 871024 801 0.4+ 2.1+ 950830 693 0.0 1.4- 040918 461 0.7+ 0.3+ 871026 691 0.2- 0.3- 950830 693 1.1- 1.2- 040918 461 0.2+ 0.1+ 871026 691 0.6+ 0.1- 950902 691 0.3- 0.3+ 040918 461 0.2- 0.3+ 871026 691 0.3+ 0.2- 950902 691 0.2- 0.1- 040918 461 0.1+ 0.2- 871027 691 0.4+ 0.1- 950902 691 0.8- 0.1+ 041021 704 0.3- 1.6- 871027 691 0.4+ 0.1- 951022 691 0.1+ 0.0 041021 704 1.4- 1.6- 871027 372 0.6+ 0.7- Y 951022 691 1.4+ 0.5+ 041021 704 1.4- 1.1- 871028 675 0.0 1.9- Y 951028 693 0.5+ 0.5+ 041021 704 1.5- 0.9- 871028 675 (1.2+ 3.9-)Y 951028 693 0.1+ 0.8+ 041021 360 0.2- 0.5- 871116 691 0.1+ 0.6- 951028 693 0.8- 0.5+ 041021 360 0.2- 0.5- 871116 691 0.6- 0.2- 951116 691 (2.2- 0.9-) 041021 360 0.1+ 0.4+ 871124 691 0.5+ 0.1+ 951116 691 0.1+ 0.5- 041022 213 0.4+ 0.2- 871124 691 0.3+ 0.5- 951116 691 0.1- 0.3- 041022 213 0.5+ 0.1- 871221 691 1.3+ 0.3+ 1996/ 041102 213 0.5+ 0.8+ 871221 691 0.5- 1.0- 960121 691 0.0 0.0 041102 213 0.6+ 0.6+ 871221 691 0.4- 0.8- 960121 691 0.4- 0.0 041102 213 0.3+ 0.7+ 871223 691 0.9+ 0.5+ 961113 867 0.7- 0.6+ 041106 360 0.2+ 0.1+ 871223 691 1.1+ 0.2+ 961113 867 1.6- 0.6+ 041106 360 0.3+ 0.3+ 1988/ 961118 691 0.5+ 0.0 041106 360 0.3+ 0.5+ 880115 691 0.3+ 0.8- 961118 691 0.6- 0.3+ 041116 850 0.5+ 0.3+ 880115 691 0.2- 0.6- 961118 691 0.1- 0.3+ 041116 850 0.2- 0.2- 880212 691 0.9+ 1.1- 961203 867 0.6+ 0.3+ 041120 A32 (2.1+ 0.7-) 880212 691 1.8+ 0.4+ 961203 867 0.5- 0.4+ 041121 A32 (3.0+ 0.5-) 880212 691 0.8+ 0.3- 961214 691 0.4+ 0.8+ 041208 360 0.4+ 1.4+ 880213 691 0.8+ 0.7+ 961214 691 0.3+ 0.8+ 041208 360 0.8+ 0.5+ 880213 691 0.1- 0.1- 961214 691 0.9+ 0.9+ 041208 360 0.7+ 0.0 880213 691 1.0- 0.7+ 2003/ ( ) -------- Rejected Obs.

Associate of Central Bureau for Astronomical Telegrams Syuichi Nakano 2010 Apr. 23

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