Nakano Note (Nakano wa Kangaeru noda) NK 1924 102P/Shoemaker 1

The following improved orbital elements, by S. Nakano, are from 50 observations 1991 to 2006, 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 +/- 1.08 arc seconds. See the previous orbits in NK 461, NK 511, NK 563, NK 632, NK 945, NK 1150 and NK 1356 (= YC 2521). Epoch = 2006 May 25.0 TT T = 2006 June 6.80177 +/- 0.00158 (m.e.) TT Peri. = 18.54118 +/- 0.00075 Node = 339.94697 +/- 0.00019 (2000.0) Inc. = 26.25184 +/- 0.00005 q = 1.9738044 +/- 0.0000083 AU e = 0.4721464 +/- 0.0000023 a = 3.7393030 +/- 0.0000060 AU n' = 0.13630698 +/- 0.00000033 P = 7.231 +/- 0.0000175 years A1 = +1.209 +/- 0.097 A2 = -0.68758 +/- 0.00357 T = 1991 Dec. 18.20949 TT Epoch = 1991 Dec. 10.0 TT Peri. = 18.75668 e = 0.4702993 Node = 339.95428 (2000.0) a = 3.7491480 AU Inc. = 26.24170 n'= 0.13577043 q = 1.9859262 AU P = 7.259 years T = 1999 Mar. 16.86825 TT Epoch = 1999 Mar. 3.0 TT Peri. = 18.66459 e = 0.4714372 Node = 339.97688 (2000.0) a = 3.7452040 AU Inc. = 26.25978 n'= 0.13598495 q = 1.9795756 AU P = 7.248 years The predicted orbit for the 2013 return is as follows: T = 2013 Sept. 1.04248 TT Epoch = 2013 Aug. 16.0 TT Peri. = 18.78359 e = 0.4728799 Node = 339.85659 (2000.0) a = 3.7342350 AU Inc. = 26.24734 n'= 0.13658456 q = 1.9683905 AU P = 7.216 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 1991/ 060724 J95 0.3- 1.0+ 060823 213 0.6- 0.6+ 910608 474 1.5+ 1.0- 060724 J95 1.4+ 0.4+ 060823 213 0.5- 0.7+ 910608 474 2.1+ 1.5- 060725 J95 0.1+ 1.0+ 060823 A02 0.0 0.5+ 910610 474 1.5+ 3.0- 060725 J95 1.5- 1.0+ 060823 213 0.3- 0.8+ 910610 474 1.0- 2.5- 060725 J95 0.8- 0.7- 060825 J95 0.9- 0.4- 910831 413 1.6- 3.6+ 060728 J95 0.6- 0.1- 060825 J95 0.6- 0.6+ 910901 372 (3.0- 4.4+) 060728 J95 0.5- 0.4+ 060825 J95 1.2- 0.0 910901 372 0.1- 1.3+ 060728 J95 0.2- 0.2+ 060902 442 (2.8- 1.5+) 911105 801 (0.8+ 7.0+) 060808 J95 0.7- 1.4+ 060902 442 (2.7- 1.3+) 911105 801 (0.5+ 7.9+) 060808 J95 0.6+ 0.8- 060908 J95 0.6- 0.1+ 1992/ 060808 850 1.4+ 0.3+ 060908 J95 1.7- 0.4+ 921202 691 0.6- 0.6+ S 060808 850 1.1+ 0.8+ 060908 J95 0.5- 0.1+ 921202 691 0.1+ 0.6- S 060818 461 0.4- 1.1+ 060918 349 (2.9- 0.2+) 921202 691 0.4+ 0.9- S 060818 461 0.1- 1.0+ 060918 349 (2.8- 0.4+) 1999/ 060818 461 0.3+ 1.0+ 060922 A32 (2.7- 0.0 ) 991231 461 0.5+ 1.6+ S 060821 J95 2.0- 0.4+ 060922 A32 (2.6- 1.6-) 991231 461 (4.5- 0.3-)S 060822 J95 1.2- 0.1+ 061016 215 1.2- 1.7- 991231 461 (4.8- 1.8+)S 060822 J95 1.0- 0.2- 061111 J97 0.5- 1.0- 2000/ 060822 A02 (3.6- 0.7+) 061124 349 0.8+ 0.5- 000101 461 1.0+ 2.1+ S 060822 A02 (2.7- 0.1-) 061124 349 1.2+ 0.8- 000101 461 0.9- 0.2- S 060822 A02 1.8- 0.4- 061124 349 1.4+ 0.9- 2006/ 060823 A02 1.8- 1.7+ 061130 204 0.5+ 0.5+ 060724 J95 (0.2+ 2.4+) 060823 A02 1.2- 0.3+ 061130 204 0.6+ 0.2+ ( ) -------- Rejected Obs.

Associate of Central Bureau for Astronomical Telegrams Syuichi Nakano 2010 Apr. 28

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