Nakano Note (Nakano wa Kangaeru noda) NK 2140 156P/Russell-LINEAR

The following improved orbital elements, by S. Nakano, are from 75 observations 1986 to 2008. Perturbations by Mercury to Neptune and three minor planets, Ceres, Pallas and Vesta, were taken into account. The mean residual is +/- 0.59 arc second. See the previous orbit in NK 948 (= YC 2393). Epoch = 2007 June 29.0 TT T = 2007 June 17.36457 +/- 0.00031 (m.e.) TT Peri. = 357.67748 +/- 0.00009 Node = 39.04981 +/- 0.00008 (2000.0) Inc. = 20.74797 +/- 0.00002 q = 1.5931076 +/- 0.0000013 AU e = 0.5576183 +/- 0.0000004 a = 3.6012060 +/- 0.0000012 AU n' = 0.14422220 +/- 0.00000007 P = 6.834 +/- 0.0000034 years T = 1986 Dec. 4.80549 TT Epoch = 1986 Nov. 26.0 TT Peri. = 357.72691 e = 0.5572604 Node = 39.05534 (2000.0) a = 3.6037002 AU Inc. = 20.75240 n'= 0.14407250 q = 1.5955008 AU P = 6.841 years T = 1993 Oct. 11.54376 TT Epoch = 1993 Oct. 20.0 TT Peri. = 357.74758 e = 0.5557204 Node = 39.04170 (2000.0) a = 3.6120804 AU Inc. = 20.71954 n'= 0.14357141 q = 1.6047735 AU P = 6.865 years T = 2000 Aug. 17.61990 TT Epoch = 2000 Aug. 4.0 TT Peri. = 357.74191 e = 0.5570544 Node = 39.04700 (2000.0) a = 3.6050343 AU Inc. = 20.74958 n'= 0.14399253 q = 1.5968340 AU P = 6.845 years The predicted orbit for the 2014 return is as follows: T = 2014 Apr. 16.56101 TT Epoch = 2014 Apr. 13.0 TT Peri. = 357.80567 e = 0.5590038 Node = 38.98178 (2000.0) a = 3.5938338 AU Inc. = 20.77830 n'= 0.14466620 q = 1.5848669 AU P = 6.813 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 1986/ 001207 704 0.2- 0.2+ 071120 703 1.4- 1.5- 860903 413 0.5- 0.2- 001207 704 0.2- 0.9+ 071218 703 1.6- 0.4- 860903 413 0.1+ 0.7- 001207 704 0.3+ 0.3+ 071218 703 (1.5- 2.0-) 860925 413 0.8- 0.4+ 001207 704 0.8+ 0.3+ 071218 703 0.5- 1.4+ 860925 413 0.5+ 0.5+ 001218 699 0.6+ 1.1+ 071218 703 0.9- 1.1+ 1993/ 001218 699 1.4+ 0.1+ 2008/ 931119 675 0.6+ 1.6- 001218 699 0.8+ 0.7+ 080101 703 0.5- 1.2- 931119 675 1.1+ 2.0- 001218 699 0.2+ 0.2- 080101 703 0.4- 0.1+ 931120 675 (3.5- 6.1-) 2001/ 080101 703 0.7- 0.7- 2000/ 010115 704 0.2+ 0.1+ 080101 703 1.3- 0.3- 000831 704 0.0 0.5+ 010115 704 0.3- 0.1+ 080105 B42 0.4+ 0.2+ 000831 704 0.4- 0.7+ 010115 704 0.1+ 0.3- 080105 B42 0.1+ 0.4+ 000831 704 0.2- 0.5+ 010115 704 1.0+ 0.9- 080111 215 0.4+ 0.1- 000831 704 0.2+ 1.1+ 010115 704 0.6+ 0.4+ 080111 215 0.7+ 0.3- 000831 704 0.1+ 0.6+ 010119 704 0.5- 0.1- 080111 215 1.2+ 0.2- 000905 704 0.3- 0.3+ 010119 704 0.3- 0.7- 080114 B49 0.3- 0.1- 000905 704 0.4- 0.1+ 010119 704 0.4+ 0.1+ 080131 G92 0.2+ 0.0 000905 704 0.3- 0.8+ 010119 704 0.0 0.1+ 080131 G92 0.1- 0.3+ 001106 704 0.6- 0.3- 010119 704 0.1- 0.0 080131 G92 0.3+ 0.4- 001106 704 1.1- 0.1- 2007/ 080208 215 0.1+ 0.0 001106 704 0.0 0.2+ 070911 G96 0.2- 0.1+ 080208 215 0.1- 0.3- 001106 704 1.0- 0.2+ 070911 G96 0.0 0.1- 080208 215 0.4- 0.5- 001205 704 0.6+ 0.0 070911 G96 0.3- 0.0 080214 130 0.4+ 0.9+ 001205 704 0.6+ 0.9+ 070911 G96 0.4- 0.1- 080214 130 0.1- 0.4+ 001205 704 0.4+ 0.0 070921 B42 0.5- 0.0 080214 130 0.1+ 0.1+ 001205 704 0.8+ 0.4+ 071120 703 0.3- 0.4+ 080214 130 0.1- 0.3+ 001205 704 1.0+ 0.5+ 071120 703 0.8- 0.1+ 080402 204 0.3- 0.5+ 001207 704 0.1+ 0.1- 071120 703 0.2- 0.3+ ( ) -------- Rejected Obs.

Associate of Central Bureau for Astronomical Telegrams Syuichi Nakano 2011 Oct. 31

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