Nakano Note (Nakano wa Kangaeru noda) NK 1999 142P/Ge-Wang

The following improved orbital elements, by S. Nakano, are from 64 observations 1988 to 2010, 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 +/- 0.86 arc second. See the previous orbits in NK 533 and NK 1151 (= HICQ 2009/ 2010). Epoch = 2010 June 13.0 TT T = 2010 May 30.45570 +/- 0.02109 (m.e.) TT Peri. = 175.72481 +/- 0.00687 Node = 176.51512 +/- 0.00144 (2000.0) Inc. = 12.30482 +/- 0.00065 q = 2.4879036 +/- 0.0001076 AU e = 0.5000132 +/- 0.0000072 a = 4.9759381 +/- 0.0000456 AU n' = 0.08879564 +/- 0.00000122 P = 11.100 +/- 0.0001525 years (+/- 0.06 day) Y1 = +1.447 +/- 0.716 Y2 = -0.01989 +/- 0.00245 T = 1988 May 24.02221 TT Epoch = 1988 June 8.0 TT Peri. = 176.17897 e = 0.5006350 Node = 180.53292 (2000.0) a = 5.0432477 AU Inc. = 11.66531 n'= 0.08702392 q = 2.5184213 AU P = 11.326 years T = 1999 June 21.47187 TT Epoch = 1999 July 1.0 TT Peri. = 177.39038 e = 0.5002197 Node = 177.14034 (2000.0) a = 4.9955955 AU Inc. = 12.17337 n'= 0.08827204 q = 2.4967001 AU P = 11.166 years The predicted orbit for the 2021 return is as follows: T = 2021 May 12.60712 TT Epoch = 2021 May 26.0 TT Peri. = 173.95202 e = 0.4976504 Node = 175.93022 (2000.0) a = 5.0023469 AU Inc. = 12.24926 n'= 0.08809340 q = 2.5129268 AU P = 11.188 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 1988/ 991003 402 0.1- 0.5+ 991021 402 0.1+ 0.2+ 881011 675 0.1- 0.4+ 991003 402 1.7- 0.8- 991021 402 0.1- 1.3+ 881011 675 2.2+ 0.4- 991004 703 1.5- 0.7+ 991021 402 1.9+ 0.6+ 881103 897 2.1- 0.7- 991004 703 1.1- 1.2+ 2010/ 881103 897 1.3- 0.6- 991004 703 0.3- 0.9- 100724 C51 1.2- 0.7+ 881104 675 1.4+ 1.3- 991004 360 0.0 0.4+ 100724 C51 (0.2+ 2.9-) 881104 327 0.5+ 0.8+ 991004 360 0.8+ 0.3- 100724 C51 (2.6- 0.4+) 881104 327 1.3- 0.6- 991004 360 0.1+ 0.4+ 100724 C51 2.0+ 0.7+ 881119 413 0.8+ 0.7+ 991008 897 1.4- 1.7+ 100725 C51 0.2- 0.8- 881128 372 0.0 0.1- 991008 897 0.7- 1.1+ 100725 C51 0.5+ 1.1- 881128 372 0.6+ 0.5+ 991009 704 1.0+ 0.3- 100725 C51 (0.0 2.7+) 881128 372 0.4- 0.6+ 991009 704 0.1- 0.2- 100725 C51 (1.6+ 4.7-) 881130 372 0.0 0.7+ 991009 704 0.7- 0.4+ 100725 C51 (1.4+ 2.8-) 881130 372 0.4- 0.9+ 991009 704 0.5+ 0.0 100725 C51 1.4- 0.4- 881207 801 0.3+ 1.4- 991009 372 (0.8+ 5.4-) 100725 C51 0.7+ 0.4- 881213 801 (3.3+ 0.8+) 991013 118 0.5+ 0.5- 100725 C51 1.0- 1.7- 1999/ 991013 118 0.1- 1.8- 100725 C51 0.7+ 0.7+ 990915 691 0.1- 0.5+ 991013 118 0.5- 0.3- 100726 C51 1.3- 1.0+ 990915 691 0.1+ 0.3+ 991013 118 1.2+ 0.7- 100726 C51 1.9+ 0.6+ 990915 691 1.8+ 0.0 991013 118 0.3+ 1.3- 100726 C51 1.0- 0.9- 990916 691 0.2+ 0.3+ 991013 118 0.6+ 0.8+ 100822 A77 0.5- 0.2+ 990916 691 0.3+ 0.7+ 991018 867 0.4+ 0.7- 100822 A77 0.2+ 0.7+ 990916 691 0.1+ 0.4+ 991018 867 0.4- 0.1+ 100822 A77 0.7+ 0.7- 991003 402 0.1+ 0.7- 991018 867 0.7+ 0.3- 100918 C10 0.0 0.3- 991003 402 1.8- 0.8- 991018 867 0.2- 0.1- 100918 C10 (3.6+ 2.4-) ( ) -------- Rejected Obs.

Associate of Central Bureau for Astronomical Telegrams Syuichi Nakano 2010 Oct. 13

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