Nakano Note (Nakano wa Kangaeru noda) NK 1898 P/2009 U4 (McNaught)

The following improved orbital elements, by S. Nakano, are from 84 observations 2009 Oct. 11 to 2010 Jan. 16. 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. Epoch = 2009 Sept. 6.0 TT T = 2009 Sept. 9.13078 +/- 0.00771 (m.e.) TT Peri. = 259.93060 +/- 0.00566 Node = 55.69000 +/- 0.00209 (2000.0) Inc. = 10.09367 +/- 0.00021 q = 1.6493354 +/- 0.0000585 AU e = 0.6760459 +/- 0.0001335 a = 5.0912621 +/- 0.0004136 AU n' = 0.08579577 +/- 0.00001045 P = 11.488 +/- 0.0013998 years (+/- 0.51 day) The predicted orbit for the 2021 return is as follows: T = 2021 Feb. 1.11087 TT Epoch = 2021 Jan. 26.0 TT Peri. = 259.83841 e = 0.6761267 Node = 55.35443 (2000.0) a = 5.0839787 AU Inc. = 10.08051 n'= 0.08598021 q = 1.6465651 AU P = 11.463 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 2009/ 091024 854 0.7- 0.1+ 091109 204 0.3- 0.0 091011 E12 0.0 0.5- 091024 E12 0.0 0.2- 091113 D25 (2.4- 0.0 ) 091011 E12 0.6+ 0.3+ 091024 E12 0.5+ 0.3- 091116 850 1.0+ 0.4- 091011 E12 0.6- 0.3- 091024 E12 0.2+ 0.6- 091116 850 1.2+ 0.3- 091022 E12 0.1- 0.6- 091025 204 0.4+ 0.2+ 091116 850 0.2+ 0.6- 091023 E12 0.2- 0.1- 091025 204 0.0 0.0 091118 E12 0.4- 0.2- 091023 E12 0.0 0.3- 091101 E94 (3.9+ 2.5-) 091118 E12 0.3- 0.6- 091023 E12 0.3+ 0.9- 091101 E94 1.2- 0.2- 091119 704 1.2- 0.2- 091023 E12 0.3+ 0.5- 091101 E94(11.2+ 3.7+) 091119 704 0.1+ 0.4- 091023 E12 0.2+ 0.0 091101 E94 (3.4- 0.6-) 091119 704 0.1+ 0.6+ 091023 E12 0.3- 0.5- 091101 E94 (4.0- 1.2-) 091122 I10 0.3- 0.0 091023 I77 0.2+ 1.0- 091101 E94 (2.2- 2.0-) 091122 I10 0.7+ 0.4- 091023 I77 0.1+ 1.3- 091101 E94 0.4- 0.2+ 091122 I10 0.8+ 0.1+ 091023 I77 0.5- 1.4- 091105 I10 0.2- 0.2- 091128 H06 0.2+ 0.3+ 091024 H36 0.1+ 0.1- 091105 I10 0.4+ 0.1+ 091128 H06 0.2+ 0.0 091024 H36 0.6+ 0.1+ 091105 I10 0.8- 0.9+ 091205 H06 0.5+ 0.8- 091024 H36 0.2+ 0.2+ 091105 D90 0.4- 0.5+ 091205 H06 0.8+ 1.1- 091024 H36 0.1- 0.6+ 091105 D90 0.7- 0.7+ 091206 349 1.2+ 1.2+ 091024 H01 0.1- 0.3- 091105 D90 0.3- 0.9+ 091206 349 (2.2+ 1.3+) 091024 H01 0.4- 0.5- 091105 215 0.4+ 1.4+ 091206 349 0.7+ 0.1+ 091024 G96 0.5+ 0.6+ 091106 I10 1.1- 0.4- 091207 I10 0.1- 0.5+ 091024 G96 0.5+ 0.3+ 091106 I10 0.3+ 1.2+ 091207 I10 1.1+ 0.4- 091024 G96 0.8+ 0.1- 091106 D90 1.0- 0.3+ 091209 415 1.1- 0.5+ 091024 G96 1.0+ 0.8+ 091106 D90 0.5- 0.4+ 091209 415 0.4- 0.6- 091024 H06 0.0 0.9+ 091106 D90 0.0 0.2- 091217 204 0.3- 0.2+ 091024 H06 0.5+ 0.9+ 091106 D25 0.8- 0.1+ 2010/ 091024 H01 0.1- 0.4- 091106 D25 0.2+ 0.1- 100102 349 (0.6- 2.6-) 091024 H06 0.9+ 0.8+ 091107 I10 0.2- 0.1+ 100102 349 0.4+ 1.8- 091024 H01 0.4- 0.6- 091108 H47 1.1- 1.3+ 100116 349 0.8- 0.3- 091024 H01 0.1- 0.0 091108 H47 0.4- 1.3+ 100116 349 0.3+ 0.9+ 091024 854 0.4- 0.1+ 091109 E12 0.2- 0.2- 091024 854 0.4+ 0.2+ 091109 E12 0.4- 0.2- ( ) -------- Rejected Obs.

Associate of Central Bureau for Astronomical Telegrams Syuichi Nakano 2010 Mar. 24

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