Nakano Note (Nakano wa Kangaeru noda) NK 5066 13P/Olbers
The following improved orbital elements, by S. Nakano, are from 86 observations 1887 to 2023, 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 +/- 1.47 arc seconds. Residuals for the recovery observations were +150" for Right Ascension and +145" for Declination from the prediction in NK 3997 (HICQ 2020-2022 and CH 2023) with the delta-T correction = -0.50 day. The comet has passed 0.081 AU from Mars on 1887 July 28, 1.52 AU from Jupiter on 1889 Jan. 11 and 4.41 AU from Saturn on 1959 Mar. 22 UT. 1815 observations (See NK 3997) are no longer fitting which give the residual of about 0.4 deg from this orbit. Reduction of observations in 1815-1888 were made by T. Kobayashi, who gives T = 2024 June 30.519 TT. See the previous orbits in NK 3997 and CBET 5289 (same orbit). Epoch = 2024 June 19.0 TT T = 2024 June 30.02023 +/- 0.00347 (m.e.) TT Peri. = 64.41161 +/- 0.00053 Node = 85.84836 +/- 0.00025 (2000.0) Inc. = 44.66460 +/- 0.00021 q = 1.1754968 +/- 0.0000047 AU e = 0.9302910 +/- 0.0000021 a = 16.8629037 +/- 0.0005060 AU n' = 0.01423330 +/- 0.00000064 P = 69.247 +/- 0.0031167 years A1 = +1.071 +/- 0.096 A2 = +0.05895 +/- 0.00006 (+/- 1.14 days) T = 1887 Oct. 8.97348 TT Epoch = 1887 Oct. 16.0 TT Peri. = 65.35576 e = 0.9309542 Node = 86.05833 (2000.0) a = 17.3666626 AU Inc. = 44.56950 n'= 0.01361851 q = 1.1990949 AU P = 72.373 years T = 1956 June 19.13771 TT Epoch = 1956 June 16.0 TT Peri. = 64.64231 e = 0.9303124 Node = 86.10516 (2000.0) a = 16.9107454 AU Inc. = 44.60846 n'= 0.01417294 q = 1.1784698 AU P = 69.542 years The predicted orbit for the 2094 return is as follows: T = 2094 Mar. 20.45699 TT Epoch = 2094 Mar. 24.0 TT Peri. = 64.48838 e = 0.9308090 Node = 85.65568 (2000.0) a = 17.1009065 AU Inc. = 44.57579 n'= 0.01393719 q = 1.1832283 AU P = 70.718 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 1887/ 871013 582 6.4+ 6.6+ 560109 059(0.03+ 0.01-)X 870827 296(16.4- 0.4-) 871014 582 4.0+ 1.6+ 560113 754 (4.4- 0.2-) 870828 058 5.6- 1.3+ 871016 084 1.2+ 6.5+ 560113 754 0.2+ 1.7+ 870828 296 4.4+ 2.7+ 871018 582 (3.7+ 14.5-) 560114 754(11.3+ 2.0-) 870828 759 2.9- 4.0- 871020 582 1.1+ 0.8+ 560114 388 0.1+ 0.8- 870829 058(10.6- 0.7+) 871022 582 1.3- 7.9+ 560115 388 1.9- 0.3- 870829 296 1.3+ 3.1- 871022 084 8.6+ 0.0 560117 388 2.1- 3.3- 870829 759 6.7- 5.8+ 871026 582 4.6+ 3.3+ 560117 377 (6.9+ 6.7-) 870830 058 0.3- 1.4+ 871029 582 2.8+ 0.1+ 560131 754 (0.8+ 18.9-) 870830 475 9.7+ 9.9+ 871105 582 1.3+ 0.9+ 560204 662 2.0+ 0.9+ 870830 008 7.7- 2.5- 871107 582 5.2- 4.2+ 560204 662 2.6+ 1.3+ 870830 016(52.4+ 3.2-) 871113 084 5.2+ 2.0+ 560205 754 0.0 0.6+ 870830 008 6.1- 2.3- 871115 582 1.1+ 3.0+ 560205 754 0.5+ 1.3+ 870830 296 3.1- 2.3- 871115 084 0.3+ 2.6+ 560312 662 1.1- 0.3+ 870830 787 7.8- 1.4+ 871116 582 (1.7- 28.4-) 560312 662 1.6- 0.4+ 870830 787 (0.7- 18.1+) 871117 582(11.5+ 23.4-) 560330 377 2.5- 4.3- 870831 016 1.8- 0.3+ 871207 582(11.0+ 2.2-) 560408 045 2.2+ 0.6+ 870831 296 0.9- 5.0- 871211 582 8.0+ 1.6- 560420 662 1.8+ 0.2- 870831 787 8.5+ 5.8+ 871214 582 9.9+ 7.5+ 560420 662 1.2+ 0.4- 870831 787 2.3- 3.4+ 871217 582(10.9+ 2.1-) 560519 662 0.5+ 1.6+ 870901 475(13.2+ 24.0-) 871219 582 9.2+ 2.3+ 560519 662 0.2- 2.0+ 870901 008 0.4- 0.8+ 1888/ 560807 754 (2.5+ 10.4-) 870901 008 0.7+ 0.8- 880221 008 (0.6- 10.4+) 560816 035 1.7- 0.6+ 870901 787(15.8- 10.9-) 880221 008 (0.2- 12.2+) 560816 035 2.5- 1.1- 870902 016 4.5- 7.3- 880323 008 6.8+ 0.6+ 560816 035 2.9- 0.6- 870903 008(28.3+ 4.6+) 880323 008 (1.1+ 12.2+) 560902 754 2.8+ 0.3+ 870907 558 8.6+ 3.7+ 880324 008 2.1+ 5.6- 560903 754 2.4+ 1.2+ 870907 558 8.6+ 4.2+ 880325 008 (2.4+ 10.9+) 560912 754 1.5+ 0.1+ 870911 058 2.5+ 0.3+ 880325 008 (0.3+ 33.2+) 560912 754 (5.5- 0.3+) 870913 058 0.8- 3.3+ 880616 662 9.1+ 5.2- 2023/ 870913 582 0.3+ 7.1+ 880618 662(14.5- 10.3+) 230813 K91 0.3+ 0.5+ 870915 526 7.8- 3.0+ 880702 662(62.2+ 6.5+) 230813 K91 1.2+ 0.1- 870915 522 3.9- 0.2- 880703 662 (0.8- 21.0+) 230824 Q64 0.4- 0.2+ 870915 526 4.3- 0.3- 880705 662 9.3+ 8.7- 230824 Q64 0.1- 0.2+ 870916 526 1.0- 0.7+ 880706 662(20.7+ 24.6+) 230825 221(23.7- 10.8-) 870916 526 2.8+ 0.9+ 880706 662(31.2+ 38.0+) 230825 K93 0.2+ 0.0 870917 787 8.8- 8.7- 1955/ 230825 K93 0.6- 0.2- 870919 526 0.4+ 0.0 551112 711 3.3+ 0.5- 230825 K91 0.1+ 0.0 870920 787(26.5+ 56.9+) 551112 711 (4.4+ 0.3-) 230825 K91 0.1- 0.4- 870926 084(19.2+ 2.7-) 1956/ 230827 K91 0.6- 0.5+ 871011 084 1.4- 0.5- 560102 388 3.7- 0.0 230827 K91 1.0- 0.6+ 871011 582 0.4+ 3.0+ 560104 059(0.28+ 0.36+)X ( ) -------- Rejected Obs.
Associate of the CBAT Syuichi Nakano 2023 Aug. 28