Nakano Note (Nakano wa Kangaeru noda) NK 4569 P/2021 R5 (Rankin)

The following improved orbital elements, by S. Nakano, are from 168 observations 2021 June 22 to Oct. 26. Perturbations by Mercury to Neptune and three minor planets, Ceres, Pallas and Vesta, were taken into account. The mean residual is +/- 0.42 arc second. See an orbit in CBET 5035. Epoch = 2022 Jan. 21.0 TT T = 2022 Jan. 12.12818 +/- 0.06432 (m.e.) TT Peri. = 167.36669 +/- 0.01268 Node = 219.95897 +/- 0.00057 (2000.0) Inc. = 7.85383 +/- 0.00013 q = 3.3226525 +/- 0.0000655 AU e = 0.3071601 +/- 0.0000220 a = 4.7957005 +/- 0.0001792 AU n' = 0.09384821 +/- 0.00000526 P = 10.502 +/- 0.0005888 years (+/- 0.22 day) The predicted orbit for the 2032 return is as follows: T = 2032 July 14.44645 TT Epoch = 2032 July 27.0 TT Peri. = 167.71969 e = 0.3072313 Node = 219.97398 (2000.0) a = 4.7958443 AU Inc. = 7.85265 n'= 0.09384399 q = 3.3224110 AU P = 10.503 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 2021/ 210911 A77 0.0 0.2- 211002 Q21 0.6- 0.0 210622 F51 0.2+ 0.2- 210911 A77 0.1- 0.3- 211004 F51 0.2- 0.2+ 210622 F51 0.1- 0.2- 210911 H06 0.4+ 0.3+ 211004 F51 0.2- 0.2+ 210622 F51 0.1+ 0.1+ 210911 H06 0.1+ 0.5+ 211004 F51 0.2- 0.3+ 210811 F51 0.2+ 0.0 210911 C10 0.0 0.3+ 211004 F51 0.2- 0.2+ 210811 F51 0.1+ 0.0 210911 C10 0.1+ 0.3+ 211004 D29 0.1+ 0.0 210811 F51 0.1+ 0.0 210911 G02 0.4+ 0.3- 211004 D29 0.2+ 0.1+ 210901 F52 0.2- 0.1- 210911 G02 0.4+ 0.0 211004 D29 0.0 0.0 210905 F52 0.1+ 0.1+ 210911 C10 0.3+ 0.2+ 211007 T05 0.1- 0.6- 210905 F52 0.1+ 0.0 210911 G02 0.3+ 0.2+ 211007 T05 0.1+ 0.2+ 210905 F52 0.0 0.1+ 210911 157 0.1- 0.2+ 211007 T05 0.1+ 0.4+ 210905 F52 0.1+ 0.0 210911 Z08 0.4- 0.1+ 211007 T05 0.3+ 0.0 210906 703 0.6- 1.1- 210911 157 0.2- 0.7+ 211008 349 0.2- 0.0 210906 703 0.6- 0.4- 210912 Z08 0.4- 0.1+ 211008 349 0.4- 0.2+ 210906 703 1.0- 0.5- 210912 157 0.2- 0.3+ 211009 G96 0.0 0.2+ 210907 T08 0.9- 0.8- 210912 Z08 0.0 0.5- 211009 G96 0.1+ 0.0 210907 T08 0.4- 0.3+ 210913 658 0.2- 0.2+ 211009 G96 0.1+ 0.2+ 210907 T08 0.1- 0.5+ 210913 658 0.1- 0.4+ 211009 G96 0.2+ 0.1+ 210907 T08 0.6- 1.7- 210913 658 0.3- 0.0 211010 T08 0.4+ 0.2- 210909 G96 0.1+ 0.2+ 210913 658 0.2- 0.1- 211010 T08 0.1- 1.2- 210909 G96 0.1+ 0.0 210913 658 0.0 0.1- 211010 T08 0.2+ 0.7- 210909 G96 0.1+ 0.0 210914 658 0.1+ 0.3+ 211010 T08 0.6- 0.3- 210909 G96 0.0 0.0 210914 658 0.4+ 0.8+ 211010 T08 0.6- 0.1- 210909 G96 0.0 0.1- 210914 658 0.5+ 1.1+ 211010 T08 0.9- 0.2- 210909 G96 0.1- 0.0 210914 658 0.3+ 0.9+ 211011 T05 1.0+ 0.8- 210909 G96 0.2+ 0.0 210914 658 0.6+ 0.9+ 211011 T05 0.1+ 0.6- 210909 H06 0.1+ 0.0 210915 D29 0.0 0.0 211011 T05 0.3+ 0.4+ 210909 H06 0.4- 0.1- 210915 D29 0.1+ 0.1- 211011 T05 0.1- 0.1+ 210909 P87 0.1- 0.4- 210915 D29 0.1- 0.2+ 211012 X03 (2.4- 6.1-) 210909 P87 0.9- 0.5+ 210917 Z10 0.0 0.1+ 211012 X03 0.3+ 0.4- 210909 G02 0.1- 0.1+ 210917 Z10 0.2- 0.0 211012 X03 0.4+ 0.5- 210909 246 0.6+ 0.1- 210927 F51 0.1- 0.1+ 211012 D29 0.1+ 0.2- 210909 G02 0.0 0.4- 210927 F51 0.1- 0.0 211012 D29 0.1+ 0.2- 210909 246 0.3+ 0.2- 210927 F51 0.1- 0.2+ 211012 D29 0.0 0.1- 210909 246 0.1- 0.1+ 210927 F51 0.2- 0.0 211013 T08 0.1+ 0.6- 210909 G02 0.3- 0.7- 210927 T08 0.2+ 0.1- 211013 T08 0.3+ 1.5- 210910 L01 0.1+ 0.1- 210927 T08 0.5- 0.1- 211013 T08 0.2+ 0.6+ 210910 G40 0.7+ 0.0 210927 T08 0.3- 0.2- 211013 T08 1.2+ 0.0 210910 L01 0.0 0.0 210927 T08 0.7+ 0.2- 211013 T08 0.2+ 0.0 210910 L01 0.1+ 0.1- 210928 T08 0.3- 0.1- 211014 703 0.5- 1.1+ 210910 G40 0.2- 0.8- 210928 T08 0.4+ 0.4- 211014 703 0.9- 0.1+ 210910 G40 0.8+ 0.1- 210928 T08 0.5+ 1.1- 211014 703 0.6- 0.3+ 210910 G40 0.1- 0.7- 210928 T08 0.2- 0.0 211014 703 (2.1- 1.8+) 210910 T05 0.9- 0.8+ 210929 D29 0.1- 0.0 211025 T08 0.4- 1.6- 210910 T05 1.0+ 0.6+ 210929 D29 0.4- 0.1- 211025 T08 0.1+ 1.0- 210910 T05 0.3- 0.8+ 210929 D29 0.2+ 0.1+ 211025 T08 0.3+ 0.5+ 210910 T05 0.2- 0.2- 210930 215 0.6+ 0.0 211025 T08 0.7- 0.5+ 210910 L27 0.2+ 0.5+ 210930 215 0.3+ 0.0 211025 T08 0.3+ 0.1- 210910 A71 0.5+ 0.8- 210930 215 0.1+ 0.1+ 211025 T08 0.2+ 1.7+ 210910 A71 0.1+ 0.7- 211001 Q11 0.0 0.3+ 211026 F52 0.3- 0.3+ 210910 A71 0.4+ 0.4- 211001 Q11 0.1- 0.2+ 211026 F52 0.3- 0.3+ 210910 L27 0.0 0.3+ 211001 Q11 0.1+ 0.3+ 211026 F52 0.3- 0.4+ 210910 L27 0.2+ 0.3+ 211002 F52 0.2- 0.2+ 211026 F52 0.3- 0.3+ 210911 K83 0.1+ 0.4+ 211002 F52 0.3- 0.2+ 211026 T08 0.5+ 0.2- 210911 K83 0.4+ 0.6+ 211002 F52 0.3- 0.2+ 211026 T08 0.6+ 0.4- 210911 K83 0.1+ 0.0 211002 F52 0.2- 0.2+ 211026 T08 0.3- 0.3- 210911 A77 0.2- 0.2- 211002 Q21 0.3+ 0.1+ 211026 T08 0.9+ 0.8+ ( ) -------- Rejected Obs.

Associate of the CBAT Syuichi Nakano 2021 Nov. 19

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