Nakano Note (Nakano wa Kangaeru noda) NK 4525 102P/Shoemaker 1

The following improved orbital elements, by S. Nakano, are from 391 observations 2006 to 2021, 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 +/- 0.87 arc second. Residuals of re-observations on 2021 September were -17" for Right Ascension and +8" for Declination from the prediction in NK 3636 (= HICQ 2020/2021) with the delta-T correction = +0.03 day. See the previous orbits in NK 461, NK 511, NK 563, NK 632, NK 945 (= MPC 48382), NK 1150, NK 1356 (= YC 2521), NK 1924, NK 2482, NK 2553 with an orbit of 1999 appearance and NK 3636. Epoch = 2021 Jan. 26.0 TT T = 2021 Jan. 22.42703 +/- 0.00363 (m.e.) TT Peri. = 20.53870 +/- 0.00091 Node = 339.36562 +/- 0.00004 (2000.0) Inc. = 25.88446 +/- 0.00004 q = 2.0699092 +/- 0.0000052 AU e = 0.4571922 +/- 0.0000012 a = 3.8133373 +/- 0.0000129 AU n' = 0.13235679 +/- 0.00000067 P = 7.447 +/- 0.0000379 years A1 = -0.504 +/- 0.168 A2 = -0.13197 +/- 0.00329 T = 2006 June 6.79662 TT Epoch = 2006 May 25.0 TT Peri. = 18.53922 e = 0.4721563 Node = 339.94790 (2000.0) a = 3.7394310 AU Inc. = 26.25183 n'= 0.13629998 q = 1.9738351 AU P = 7.231 years T = 2013 Sept. 1.25106 TT Epoch = 2013 Aug. 16.0 TT Peri. = 18.78639 e = 0.4729171 Node = 339.85749 (2000.0) a = 3.7345778 AU Inc. = 26.24732 n'= 0.13656576 q = 1.9684319 AU P = 7.217 years The predicted orbit for the 2028 return is as follows: T = 2028 July 10.70621 TT Epoch = 2028 July 8.0 TT Peri. = 20.60239 e = 0.4557231 Node = 339.33462 (2000.0) a = 3.8249328 AU Inc. = 25.84177 n'= 0.13175538 q = 2.0818226 AU P = 7.481 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 2006/ 130830 C47 0.2- 0.6+ 130925 H45 1.2+ 0.3+ 060724 J95 (0.5- 2.7+) 130830 461 0.3+ 0.1+ 130925 H45 0.8- 0.3- 060724 J95 0.9- 1.2+ 130830 461 0.4+ 0.3+ 130925 H45 0.3- 0.3+ 060724 J95 0.8+ 0.7+ 130830 461 0.3+ 0.8+ 130925 H45 0.0 0.7+ 060725 J95 0.5- 1.3+ 130830 461 0.1- 0.6+ 130928 585 0.7+ 0.2- 060725 J95 2.1- 1.3+ 130830 J38 0.7+ 0.2+ 130928 585 0.7+ 0.0 060725 J95 1.4- 0.4- 130830 J38 0.5- 0.1+ 130928 585 0.6+ 0.1- 060728 J95 1.2- 0.3+ 130830 J38 0.2+ 1.3+ 130928 585 0.8+ 0.5+ 060728 J95 1.1- 0.8+ 130831 511 0.3- 0.8- 130928 585 0.6+ 0.0 060728 J95 0.7- 0.6+ 130831 511 0.1- 0.8+ 130928 585 0.7+ 0.2+ 060808 J95 1.0- 2.0+ 130831 C23 2.2+ 2.4- 130928 585 0.5+ 0.1+ 060808 J95 0.4+ 0.2- 130831 C23 (1.3+ 2.5-) 130928 585 0.4+ 0.7+ 060808 850 1.2+ 1.0+ 130831 J38 (1.6+ 3.2-) 130928 585 0.0 0.3- 060808 850 0.9+ 1.5+ 130901 J38 (1.4+ 3.0-) 130928 585 0.7+ 0.3+ 060818 461 0.4- 2.0+ 130901 J38 (1.4+ 2.9-) 130928 585 0.7+ 0.1- 060818 461 0.1- 1.9+ 130901 C35 (1.8- 2.9-) 130928 461 0.3+ 0.6+ 060818 461 0.3+ 1.9+ 130901 C35 (3.3- 1.2-) 130928 461 0.3+ 1.0+ 060821 J95 1.9- 1.4+ 130901 C35 (2.7- 1.8-) 130928 461 0.2+ 0.7+ 060822 J95 1.1- 1.1+ 130901 510 0.2- 0.5- 130930 A77 0.9+ 0.6- 060822 J95 0.9- 0.8+ 130901 510 0.9- 0.5- 130930 A77 (2.5+ 0.3-) 060822 A02 (3.4- 1.7+) 130901 H45 1.0- 0.4+ 130930 A77 0.9+ 0.7- 060822 A02 (2.6- 0.9+) 130901 H45 0.4+ 0.7+ 130930 C23 0.7+ 0.3- 060822 A02 1.6- 0.7+ 130901 H45 0.1- 0.4+ 130930 C23 0.3+ 0.8+ 060823 A02 (1.6- 2.7+) 130901 H45 0.1+ 0.2+ 130930 C23 0.5+ 0.7- 060823 A02 1.0- 1.3+ 130901 H45 0.2- 0.2- 131003 A32 0.0 0.1+ 060823 213 0.4- 1.7+ 130901 H45 0.1+ 0.5- 131003 A32 0.2+ 0.8- 060823 213 0.4- 1.7+ 130902 J01 0.3- 0.5+ 131003 A32 0.1- 0.6- 060823 A02 0.1+ 1.5+ 130902 J01 0.6- 0.1- 131003 J01 0.7+ 0.3- 060823 213 0.2- 1.8+ 130902 J01 0.4- 0.4- 131003 J01 0.4+ 0.3- 060825 J95 0.6- 0.7+ 130902 J24 0.4+ 1.9- 131003 J01 0.5+ 0.8- 060825 J95 0.4- 1.7+ 130902 J24 1.7+ 2.2- 131005 I41 0.3+ 0.6- 060825 J95 1.0- 1.1+ 130902 J24 0.8+ 2.4- 131005 I41 0.3+ 0.8- 060902 442 (2.4- 2.7+) 130902 K60 0.1- 0.7+ 131005 I41 0.8+ 1.4- 060902 442 (2.3- 2.6+) 130902 B83 1.2- 0.6- 131007 A02 0.7+ 0.0 060908 J95 0.1- 1.4+ 130902 B83 0.7- 0.1+ 131007 A02 0.5+ 0.1+ 060908 J95 1.2- 1.7+ 130902 K60 0.1+ 1.3+ 131007 585 0.3+ 0.2- 060908 J95 0.0 1.4+ 130902 511 0.3- 0.4+ 131007 585 0.2+ 0.0 060918 349 2.2- 1.7+ 130902 511 0.0 0.1- 131007 585 0.2+ 0.1+ 060918 349 2.1- 2.0+ 130903 511 0.0 0.0 131007 585 0.0 0.0 060922 A32 2.0- 1.6+ 130903 C91 0.1- 0.8+ 131007 585 0.9+ 0.3- 060922 A32 1.9- 0.1+ 130903 C91 0.2- 0.1+ 131007 585 0.2+ 0.1- 061016 215 0.5- 0.2+ 130903 C91 0.4+ 0.5+ 131007 585 0.6+ 0.1+ 061111 J97 0.4- 0.9+ 130903 I81 2.0- 0.3+ 131007 585 0.8+ 0.6+ 061124 349 0.6+ 1.1+ 130903 C91 0.4- 0.7+ 131007 585 0.0 0.3+ 061124 349 1.1+ 0.9+ 130903 C91 0.7+ 0.0 131007 585 0.7+ 0.0 061124 349 1.3+ 0.7+ 130903 I81 0.8- 0.9+ 131007 585 0.8+ 0.6+ 061130 204 0.3+ 2.1+ 130904 160 0.0 0.4- 131007 585 1.3+ 0.3+ 061130 204 0.3+ 1.7+ 130904 160 0.0 0.1- 131008 703 0.1- 0.3- 2013/ 130904 160 0.4+ 0.2+ 131008 703 0.8+ 1.4- 130411 Q62 0.1- 1.1- 130904 703 1.7- 0.8- 131008 703 1.0+ 1.2- 130411 Q62 0.2+ 0.9- 130904 703 1.8- 1.1- 131008 C32 0.3+ 0.4+ 130411 Q62 0.2+ 0.8- 130904 703 1.4- 2.1- 131008 C32 0.1+ 0.2- 130416 Q62 0.7- 0.4+ 130904 703 (4.6- 2.5-) 131008 C32 0.3+ 0.2- 130416 Q62 0.1- 0.3- 130905 461 0.1+ 0.4+ 131008 C47 0.4- 0.4+ 130416 Q62 0.2- 0.1+ 130905 461 0.0 0.5+ 131008 C47 0.4- 0.2+ 130613 G96 1.6- 0.3- 130905 461 0.0 0.3+ 131008 C47 0.6+ 0.3- 130613 G96 1.0- 0.3- 130905 213 0.9- 0.3- 131008 C47 0.1- 0.6- 130613 G96 2.2- 0.8- 130905 213 0.2- 0.3+ 131011 958 0.8+ 1.4- 130613 G96 1.2- 0.4- 130905 213 0.1- 0.1- 131011 958 0.4+ 0.8- 130613 G96 1.3- 0.3- 130905 J24 0.7+ 1.6- 131012 D95 0.7+ 0.3- 130713 215 2.3- 1.6- 130905 J24 1.5+ 1.7- 131012 D95 1.2+ 0.8- 130713 215 1.4- 0.9- 130905 J24 1.3+ 2.3- 131013 703 0.5+ 2.0- 130713 215 1.5- 1.0- 130905 K20 0.4- 0.7+ 131013 703 0.3+ 0.8- 130717 106 0.8+ 0.5+ 130905 K20 0.5- 0.1+ 131013 703 1.3+ 0.9- 130717 106 1.0+ 0.4- 130905 K20 0.4- 0.9+ 131013 703 0.1+ 0.1+ 130717 106 1.0+ 1.3+ 130905 246 0.3+ 0.2+ 131013 349 0.5+ 0.5+ 130717 106 0.6+ 0.1+ 130905 246 0.3+ 0.4+ 131013 349 1.2+ 0.3- 130718 106 0.8+ 0.1- 130905 B96 (2.7- 1.1+) 131021 C23 (2.8+ 0.7-) 130718 106 0.7- 0.4+ 130905 246 0.5+ 0.8+ 131021 C23 1.4+ 0.6- 130718 106 1.1- 0.1+ 130905 246 0.1+ 1.0+ 131021 C23 1.3+ 0.2- 130718 106 1.6- 2.0- 130905 246 0.3- 0.7+ 131022 I81 0.2- 0.4- 130731 130 0.2- 0.6+ 130906 246 0.2- 1.2+ 131022 I81 0.7+ 0.3- 130731 130 1.2- 0.7+ 130906 246 0.1+ 0.9+ 131023 C35 (1.2- 10.6+) 130731 130 0.7- 0.2+ 130906 B96 2.4- 0.6+ 131023 C35 (0.1- 10.1+) 130731 Q62 0.7- 1.1+ 130906 160 0.2+ 0.3- 131023 C35 (3.2+ 8.8+) 130731 Q62 2.0- 0.3+ 130906 160 0.3+ 0.1- 131023 970 0.9+ 1.1- 130731 Q62 (2.7- 0.2+) 130906 160 0.6+ 0.0 131023 970 0.3+ 0.0 130801 C23 (4.1- 0.7-) 130906 C23 0.8- 1.4+ 131023 B74 0.4+ 0.6- 130802 C23 (2.9- 0.1+) 130906 C23 1.8+ 0.0 131023 B74 0.4+ 0.5- 130802 C23 1.1- 1.3+ 130906 C23 1.0+ 0.3- 131023 B74 0.2+ 0.8- 130802 461 0.1- 0.3+ 130906 H06 0.3- 0.5+ 131023 958 0.1- 2.0- 130802 C23 (3.1- 0.9-) 130906 H06 0.0 0.4+ 131023 958 0.7- 1.8+ 130802 C23 (4.0- 1.0+) 130906 H06 0.1+ 0.3+ 131026 H45 2.1+ 0.1+ 130802 461 0.1- 0.7+ 130907 J24 1.0- 0.2+ 131026 H45 0.4+ 0.1+ 130802 461 0.0 0.5+ 130907 J24 0.2- 0.2- 131026 H45 0.0 0.1- 130807 104 1.3- 0.3- 130907 J24 0.1+ 0.3+ 131026 H45 0.5+ 0.2+ 130807 104 1.0- 2.1- 130907 H45 0.8- 0.4- 131026 H45 0.3- 0.7+ 130809 C32 (3.1- 0.6-) 130907 H45 0.6- 0.4+ 131026 J01 1.5+ 0.5- 130809 C32 2.3- 0.2- 130907 H45 0.2- 0.2+ 131026 J01 0.9+ 0.3- 130809 C32 1.5- 0.1+ 130907 H45 0.5- 0.3+ 131026 J01 0.7+ 0.1- 130810 585 0.7+ 0.4+ 130907 H45 0.3- 0.0 131030 A77 0.2- 0.0 130810 585 0.7+ 0.4+ 130907 H45 0.1- 0.3+ 131030 A77 0.1- 0.6- 130810 585 0.7+ 0.6+ 130907 H45 0.1- 0.1+ 131103 H45 0.5+ 0.3- 130810 585 0.6+ 0.4+ 130907 H45 0.6- 0.1+ 131103 H45 0.6- 0.2- 130810 585 0.5+ 0.3+ 130908 J24 0.4- 0.1+ 131103 H45 0.5- 0.3- 130810 585 0.2- 0.3+ 130908 J24 0.1+ 0.1+ 131103 H45 0.5- 0.2- 130810 585 0.4- 0.1+ 130908 J24 0.0 0.6+ 131103 H45 0.6- 0.1+ 130810 585 0.1- 0.3+ 130908 I72 0.8- 0.9+ 131105 A02 1.1+ 0.6- 130810 J01 0.2+ 0.6+ 130908 I72 0.8- 0.6+ 131105 A02 1.0+ 0.0 130810 J01 0.1- 0.4+ 130908 I72 0.2- 0.3+ 131105 A02 0.6+ 0.1- 130810 J01 0.9- 0.4- 130908 J01 0.5- 0.2+ 131109 C86 1.8+ 1.8+ 130810 235 2.3+ 1.9+ 130909 G40 1.9- 0.5+ 131109 C86 1.8+ 1.6+ 130810 235 0.1+ 0.8+ 130909 J01 0.8- 0.5+ 131109 C86 1.9+ 1.5+ 130811 235 1.2- 0.6- 130909 G40 2.3- 0.7+ 131113 H36 0.1- 0.3+ 130811 K20 0.4+ 0.9+ 130909 G40 0.6- 0.3+ 131113 H36 1.6+ 0.2- 130811 K20 0.8- 0.6- 130910 H45 0.4- 1.0+ 131113 C10 0.3+ 0.3+ 130811 K20 1.2- 0.5- 130910 H45 0.5+ 0.4+ 131113 C10 (0.0 3.4+) 130811 J24 0.8- 1.8- 130910 H45 0.3+ 0.2+ 131123 J01 0.5+ 0.5- 130811 J24 0.1- 2.4- 130910 H45 0.1+ 0.3- 131123 J01 0.9+ 0.1- 130811 J24 0.7- 1.3- 130910 H45 0.4+ 0.7+ 131124 212 0.9+ 0.3+ 130811 J24 0.2+ 1.5- 130910 H45 0.2- 0.8- 131124 212 1.9+ 0.3- 130812 C23 0.5- 0.2- 130910 H45 0.2+ 0.2+ 131124 212 (2.9+ 2.3+) 130812 C23 0.3- 1.2- 130910 H45 0.2- 0.3+ 131125 C23 1.4+ 0.0 130816 C10 0.6- 0.2- 130912 I72 0.5- 0.0 131125 C23 0.5+ 0.1+ 130816 C10 0.2- 0.1- 130912 I72 0.0 0.2+ 131127 585 1.6+ 1.2+ 130816 349 0.3+ 0.6- 130912 I72 0.3- 0.3- 131127 585 1.4+ 0.8+ 130816 349 0.1- 0.2- 130912 J01 0.4- 0.3+ 131127 585 1.2+ 1.0+ 130816 A71 0.7- 0.3- 130912 J01 0.4- 0.2+ 131127 585 1.5+ 0.8+ 130816 A71 (4.9- 2.9+) 130912 J01 0.5- 0.3+ 131130 349 0.9+ 1.1- 130818 A77 (3.9+ 0.7+) 130915 J24 0.8+ 0.8- 131130 349 1.5+ 1.4- 130818 A77 0.5- 1.3+ 130915 J24 1.4+ 1.6- 131204 A32 0.2+ 0.2- 130818 J24 (1.4- 3.0-) 130915 J24 1.1+ 1.0- 131204 A32 0.6+ 0.9+ 130818 J24 0.0 2.2- 130916 703 0.3+ 1.3- 131204 A32 1.0+ 1.9+ 130818 J24 0.2+ 1.2- 130916 703 1.0+ 0.2- 131214 G96 0.3- 0.1+ 130818 349 1.5- 1.5- 130916 703 0.0 2.2- 131214 G96 0.1- 0.1+ 130818 349 1.1- 1.0- 130916 703 0.3- 1.1- 131214 G96 0.2- 0.4+ 130819 160 2.2- 0.1+ 130922 H45 0.7- 0.5+ 131214 G96 0.7+ 0.2+ 130819 160 0.1- 0.2- 130922 H45 0.6- 0.2+ 131216 160 1.0- 0.5+ 130819 160 1.9+ 0.4+ 130922 H45 0.1- 1.1+ 131216 160 0.9- 0.1+ 130819 A77 1.2+ 0.8+ 130922 H45 1.0- 0.9+ 131222 I57 1.5+ 1.3- 130819 A77 0.5+ 1.2+ 130922 H45 1.8- 0.1+ 131222 I57 2.3+ 1.6- 130826 C35 2.3+ 1.4- 130922 H45 0.9- 0.3+ 131222 I57 0.7+ 0.6- 130826 C35 1.8+ 1.3- 130922 160 0.1- 0.9+ 2020/ 130826 C35 0.6+ 1.1- 130922 160 0.3- 0.5+ 200718 Q68(43.2+ 32.5+) 130828 A77 0.9- 1.2- 130922 160 0.1+ 0.4- 200718 Q68(38.9+ 30.8+) 130828 A77 0.1+ 0.1+ 130923 160 0.7+ 0.7- 200718 Q68(56.0+ 49.7+) 130828 A77 2.0- 1.0- 130923 160 0.5- 0.2- 2021/ 130829 J43 0.1- 0.0 130923 160 0.4- 0.2- 210917 A77 0.4+ 0.1+ 130829 J43 0.0 0.3+ 130924 160 0.3- 0.2+ 210917 A77 0.0 0.7+ 130830 C47 0.4+ 1.7+ 130924 160 0.3+ 0.0 210917 A77 0.9- 1.5+ 130830 C47 0.4+ 0.7+ 130924 160 0.4+ 0.5+ 210918 A77 0.2+ 0.6+ 130830 C47 0.0 0.4+ 130925 H45 0.3+ 0.5- 210918 A77 0.8+ 0.4+ 130830 C47 1.0- 0.0 130925 H45 0.1+ 0.3- 210918 A77 1.2+ 0.2- ( ) -------- Rejected Obs.

Associate of the CBAT Syuichi Nakano 2021 Sept. 21

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