Nakano Note (Nakano wa Kangaeru noda) NK 2528 89P/Russell 2

The following improved orbital elements, by T. Kobayashi, are from 111 observations 1980 to 2009, including planetary perturbations by Mercury to Neptune and three minor planets, Ceres, Pallas, Vesta, and non-gravitational effect of style II. The mean residual is +/- 0.70 arc second. See the previous orbits in NK 392, NK 474, NK 522, NK 694 and NK 1322 (= MPC 56804, HICQ 2013). Epoch = 2009 Sept. 6.0 TT T = 2009 Aug. 17.14983 +/- 0.00129 (m.e.) TT Peri. = 249.32227 +/- 0.00037 Node = 42.38503 +/- 0.00009 (2000.0) Inc. = 12.03141 +/- 0.00002 q = 2.2799352 +/- 0.0000011 AU e = 0.3995024 +/- 0.0000002 a = 3.7967432 +/- 0.0000025 AU n' = 0.13322546 +/- 0.00000014 P = 7.398 +/- 0.0000071 years A1 = +1.089 +/- 0.082 A2 = -0.03196 +/- 0.00110 T = 1980 May 19.03408 TT Epoch = 1980 May 1.0 TT Peri. = 245.19087 e = 0.4167880 Node = 45.18651 (2000.0) a = 3.7010587 AU Inc. = 12.53082 n'= 0.13842518 q = 2.1585018 AU P = 7.120 years T = 1987 July 3.74559 TT Epoch = 1987 June 14.0 TT Peri. = 245.39306 e = 0.4178111 Node = 45.10981 (2000.0) a = 3.6953010 AU Inc. = 12.53412 n'= 0.13874884 q = 2.1513633 AU P = 7.104 years T = 1994 Oct. 27.31299 TT Epoch = 1994 Oct. 15.0 TT Peri. = 249.17104 e = 0.3996757 Node = 42.53755 (2000.0) a = 3.7919851 AU Inc. = 12.04155 n'= 0.13347630 q = 2.2764208 AU P = 7.384 years T = 2002 Mar. 22.91002 TT Epoch = 2002 Mar. 27.0 TT Peri. = 249.21693 e = 0.3979086 Node = 42.48387 (2000.0) a = 3.8035293 AU Inc. = 12.02777 n'= 0.13286908 q = 2.2900722 AU P = 7.418 years The predicted orbit for the 2016 return is as follows: T = 2016 Dec. 14.68970 TT Epoch = 2016 Nov. 28.0 TT Peri. = 250.15017 e = 0.4080245 Node = 41.44510 (2000.0) a = 3.7509657 AU Inc. = 12.07656 n'= 0.13567175 q = 2.2204796 AU P = 7.265 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 1980/ 950903 691 0.7- 0.4+ 020927 704 (2.0+ 0.2+) 800809 413 1.1- 1.4- 950903 691 0.8- 0.0 020927 704 1.2+ 1.2- 800928 413 (2.4- 1.5-) 950903 691 0.7- 0.2+ 020927 704 0.9+ 0.6+ 801002 413 1.6- 1.3+ 2001/ 021001 608 0.7+ 0.8- 801003 413 (3.5- 0.2+) 010426 829 (0.1+ 2.0-) 021001 608 0.2+ 0.9- 801006 413 (3.9- 0.0 ) 010426 829 1.0- 0.6- 021001 608 0.1+ 0.7- 801006 323 0.2- 1.3+ 010427 829 0.9+ 1.9- 021001 204 0.5- 0.3+ 801007 323 (8.6+ 12.6-) 010427 829 0.1- 1.5- 021001 204 0.3+ 0.6- 1987/ 2002/ 021006 859 1.3+ 0.8+ 870701 323 0.8+ 1.7+ 020814 704 (2.3+ 0.6-) 021006 859 1.4- 0.5- 870702 323 (1.4+ 2.9+) 020814 704 0.6- 1.6+ 021006 859 0.2- 0.7- 870702 323 1.1+ 0.6- 020814 704 0.4- 1.2- 021009 699 (2.1+ 0.4+) 870704 413 0.6- 0.3+ 020814 704 0.1+ 0.0 021009 699 (2.5+ 1.1+) 870706 323 0.9+ 1.7+ 020814 704 1.1- 0.0 021009 699 (2.2+ 0.4+) 870718 323 1.9+ 0.6- 020815 699 0.1+ 0.4+ 021009 699 1.3+ 0.8+ 870724 323 (2.8+ 0.6-) 020815 699 1.7- 0.5- 021011 360 1.1+ 0.4+ 870731 323 (4.7+ 1.5-) 020815 699 1.4- 0.1- 021011 360 1.7+ 0.5+ 870818 323 (2.5+ 2.3-) 020815 699 1.4- 0.1+ 021128 360 0.0 0.4- 870819 474 0.0 0.2- 020819 360 0.7- 0.4- 021128 360 0.2+ 0.7- 870819 474 0.8+ 0.4- 020819 360 0.5- 0.4- 021128 360 0.7+ 0.0 870828 323 (0.3- 2.3-) 020819 360 0.3- 0.1- 2009/ 1994/ 020820 644 0.5+ 0.3- 090524 D25 0.5- 0.5- 940405 691 0.8- 0.2+ 020820 644 0.5+ 0.6- 090524 D25 0.1- 0.1+ 940405 691 0.9- 0.5+ 020820 644 0.4+ 0.5- 090524 D25 0.3+ 0.7- 940405 691 1.1- 0.7- 020830 349 0.2- 0.7+ 090525 E16 0.4- 0.7- 940406 691 0.2- 0.3+ 020830 349 0.5- 0.7- 090525 D25 0.1- 0.1+ 940406 691 0.4+ 0.5+ 020830 349 1.0- 0.1+ 090525 D25 0.2+ 0.6+ 940406 691 0.7- 0.2+ 020901 644 0.2+ 0.7- 090525 D25 0.5+ 0.5- 940502 691 0.9- 0.0 020901 644 0.6+ 0.9- 090531 E85 0.0 0.3+ 940502 691 1.2- 0.1- 020901 644 0.9- 1.8- 090531 E85 0.4- 0.3- 940502 691 1.0- 0.1- 020912 360 0.3+ 0.7- 090531 E85 0.1+ 0.4- 940516 360 0.4- 0.5+ 020912 360 0.2+ 0.7- 090603 D25 0.6+ 0.1+ 940516 360 0.5- 0.0 020913 699 0.8+ 0.7+ 090719 415 0.4- 0.7- 940516 360 0.3+ 0.6+ 020913 699 1.0+ 0.6+ 090719 415 0.1- 0.1+ 940601 360 0.0 0.1- 020913 699 0.0 0.9+ 090725 E85 0.0 0.1- 940601 360 0.2+ 0.4+ 020913 699 0.4- 1.6+ 090725 E85 0.5+ 0.2- 940612 691 0.3- 0.1+ 020914 608 0.4- 0.4+ 090725 E85 0.8+ 0.2- 940612 691 0.3- 0.0 020914 608 0.5- 0.4+ 090919 D90 0.1- 0.2- 940612 691 0.4- 0.3+ 020914 608 0.5- 0.4+ 090919 D90 0.1+ 0.1- 940711 360 0.5+ 0.6- 020917 644 0.3+ 0.6- 090919 D90 0.0 0.0 940711 360 0.9+ 0.0 020917 644 0.9+ 0.3- 091009 H06 0.8+ 0.0 1995/ 020917 644 0.4+ 0.2- 091009 H06 1.0- 0.0 950826 950 0.5- 0.3- 020917 644 0.1+ 0.1- 091019 E12 0.2+ 0.5- 950826 950 0.7- 0.3- 020917 644 1.0+ 0.1+ 950826 950 0.8- 0.3+ 020917 644 0.6+ 0.3- ( ) -------- Rejected Obs.

Associate of the CBAT Syuichi Nakano 2013 June 12

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