Nakano Note (Nakano wa Kangaeru noda) NK 4797 51P/Harrington-D

The following improved orbital elements, by S. Nakano, are from 245 observations 2001 to 2022, 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 for the re-observations in 2022 were small from the prediction in NK 3013. So that delta-T correction is not required. The comet has passed 0.37 AU from Jupiter on 2003 Oct. 24 and will pass 0.42 AU from Jupiter on 2039 Apr. 23 UT. By the way the principal component of this comet is nucleus A. But as wrote in NK 3013 and NK 3014, it was that all observations reported after 2015 September 7 must belong to component D. No observation of the principal component A has been reported after 2015 September. Because the separation between component A-D was +1.0 deg for R. A. and +0.5 deg for Decl. in 2015 September and October, there was a possibility true principal component A didn't come in the field, together. Perhaps observers recognized this was the principal component A. However in this appearance 2022, reported all observations are only component D. Observations of component D was located +2.4 deg and +0.9 deg (D-A) from component A (the prediction in NK 3014) with the delta-T correction = -2.18 days. See the previous orbits in NK 366, NK 489, MPC 24216, NK 678 (= MPC 43161), NK 678A, NK 961, NK 961D, NK 1655, NK 1686, NK 2314, NK 2916, NK 2919, NK 3013 and NK 3014. Epoch = 2022 Sept.18.0 TT T = 2022 Oct. 1.75852 +/- 0.00062 (m.e.) TT Peri. = 269.29669 +/- 0.00037 Node = 83.65818 +/- 0.00019 (2000.0) Inc. = 5.42637 +/- 0.00001 q = 1.6923920 +/- 0.0000014 AU e = 0.5436814 +/- 0.0000003 a = 3.7087948 +/- 0.0000038 AU n' = 0.13799231 +/- 0.00000021 P = 7.142 +/- 0.0000109 years A1 = -0.020 +/- 0.030 A2 = -0.00473 +/- 0.00009 T = 2001 June 5.74785 TT Epoch = 2001 June 20.0 TT Peri. = 233.59067 e = 0.5618532 Node = 119.18145 (2000.0) a = 3.5786229 AU Inc. = 8.65495 n'= 0.14558954 q = 1.5679622 AU P = 6.770 years T = 2008 June 18.03749 TT Epoch = 2008 June 23.0 TT Peri. = 269.19012 e = 0.5442810 Node = 83.76202 (2000.0) a = 3.7030748 AU Inc. = 5.42907 n'= 0.13831215 q = 1.6875617 AU P = 7.126 years T = 2015 Aug. 11.60589 TT Epoch = 2015 Aug. 6.0 TT Peri. = 269.32060 e = 0.5424476 Node = 83.67942 (2000.0) a = 3.7139745 AU Inc. = 5.42491 n'= 0.13770373 q = 1.6993378 AU P = 7.157 years The predicted orbit for the 2029 return is as follows: T = 2029 Nov. 16.23210 TT Epoch = 2029 Oct. 31.0 TT Peri. = 269.39360 e = 0.5444711 Node = 83.55539 (2000.0) a = 3.7024071 AU Inc. = 5.43263 n'= 0.13834957 q = 1.6865533 AU P = 7.124 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 2001/ 011219 213 0.6- 1.0- 2015/ 011019 170 1.6- 0.5+ 011219 213 0.2+ 0.0 150530 F51 0.2+ 0.8- 011025 170 (2.8- 0.1+) 011219 170 1.5+ 0.6- 150530 F51 0.0 1.0- 011025 170 2.1- 0.2- 011220 170 2.2+ 0.1- 150530 F51 0.2+ 0.6- 011025 170 1.7- 0.1+ 011220 170 (3.2+ 0.5-) 150530 F51 0.4+ 0.8- 011206 170 0.9- 0.4+ 011220 170 1.8+ 0.1- 150728 Q62 0.8- 1.4- 011206 170 (3.3+ 0.7+) 011220 170 2.1+ 0.8+ 150728 Q62 0.5- 1.6- 011206 170 0.5+ 0.5+ 011220 170 0.9+ 0.5+ 150728 Q62 0.3- 1.6- 011206 213 2.0- 1.1+ 011222 213 0.5- 0.1- 150812 F51 0.4+ 0.4- 011206 213 (2.5- 1.1+) 011222 213 2.2+ 0.0 150812 F51 0.4+ 0.4- 011206 213 0.9- 1.0+ 011222 213 1.1- 0.8+ 150812 F51 0.4+ 0.5- 011207 170 0.5+ 0.6+ 011222 213 1.0+ 0.1- 150812 F51 0.5+ 0.5- 011207 213 (2.8- 0.3-) 011223 461 0.9+ 0.4- 150817 Q62 0.7- 0.5- 011207 213 (5.5- 0.9+) 011223 461 0.7+ 0.7- 150817 Q62 0.6- 0.7- 011207 213 1.7- 0.4+ 011223 461 0.0 0.1+ 150817 Q62 0.2- 0.6- 011207 213 (1.8- 3.0+) 011223 461 0.2+ 0.1- 150819 G40(0.80- 0.40-) 011207 941 0.3- 0.3+ 011223 235 0.6+ 0.6+ 150819 G40(0.80- 0.40-) 011207 941 1.2- 0.6+ 011224 170 (3.2+ 0.2-) 150821 F51 0.6+ 0.4- 011207 941 1.3- 0.8+ 011224 170 0.4+ 0.2- 150821 F51 0.4+ 0.4- 011207 941 2.2- 1.1+ 011224 461 0.1+ 0.8+ 150821 F51 0.5+ 0.4- 011207 170 (5.2- 1.7-) 011225 213 (3.9- 0.9+) 150821 F51 0.5+ 0.4- 011207 170 1.8- 0.5- 011225 213 0.2- 1.9- 150823 G30(0.82- 0.41-) 011208 349 0.3- 0.4- 011225 213 2.0- 0.4- 150823 G30(0.83- 0.41-) 011208 213 0.7- 0.0 011225 170 0.1+ 0.4- 150826 215(0.84- 0.42-) 011208 213 (2.4- 3.7+) 011225 170 (4.2+ 1.2-) 150826 215(0.84- 0.42-) 011208 611 1.1- 0.5+ 011226 349 0.5+ 0.4- 150907 J22 0.3- 0.1- 011208 611 1.3- 0.5+ 011226 349 0.7+ 1.9+ 150907 J22 0.2+ 0.1- 011208 213 1.8+ 0.5+ 2002/ 150907 J22 0.7+ 0.3- 011208 118 1.2- 0.7+ 020101 235 0.9+ 0.7+ 150913 A71 0.6- 0.6- 011208 118 0.9- 0.3+ 020102 235 0.4- 1.8- 150913 A71 0.1- 0.4- 011208 118 0.4- 0.4+ 020103 613 (2.8+ 0.5-) 150914 J22 (2.4- 0.5-) 011208 118 0.7- 0.7+ 020103 613 0.6+ 0.5- 150914 J22 0.3- 0.4- 011208 611 1.2- 0.1+ 020103 613 2.1+ 0.0 150914 J22 (3.0+ 0.1-) 011209 170 0.7- 1.5+ 020104 215 1.2+ 0.5- 150920 A71 0.0 0.4+ 011209 170 0.2- 0.2+ 020104 215 0.0 0.0 150920 A71 0.5- 0.8- 011209 170 1.0- 1.5+ 020104 215 1.1+ 0.3- 151008 J22 1.4- 0.5- 011209 309 0.8- 0.2- 020104 046 0.0 0.2+ 151008 J22 1.0- 0.1+ 011209 691 0.9- 0.1+ 020104 046 0.3+ 0.5- 151008 J22 0.6- 0.1+ 011209 118 1.4- 0.2+ 020104 046 0.2- 0.4- 151012 F51 0.0 0.0 011209 118 0.8- 0.8+ 020104 046 0.4- 0.6- 151012 F51 0.0 0.1+ 011209 118 1.2- 0.4+ 020104 235 0.4+ 0.5- 151012 F51 0.1- 0.2+ 011209 235 0.1+ 2.1+ 020104 613 (4.1+ 0.7-) 151012 F51 0.1- 0.1+ 011209 046 0.8- 0.0 020106 235 1.0- 0.3- 151015 F51 0.2+ 0.0 011209 046 0.6- 0.2- 020107 235 0.0 0.4+ 151015 F51 0.2+ 0.2- 011209 046 0.5+ 0.3+ 020107 170 (2.5+ 0.3+) 151015 F51 0.3+ 0.0 011209 046 0.9- 0.4+ 020108 235 1.7+ 0.5- 151015 F51 0.4+ 0.0 011209 046 1.1- 0.8+ 020109 587 1.5+ 0.4- 151020 J22 0.5- 0.6+ 011209 046 1.1+ 0.1+ 020109 587 0.0 0.4- 151020 J22 0.5- 0.6+ 011209 046 (2.3+ 0.7+) 020110 046 0.8+ 0.3- 151020 J22 0.7- 0.5+ 011209 046 0.2+ 0.8+ 020110 046 0.8+ 1.0- 151022 G32 0.6- 0.5+ 011209 170 0.3+ 0.2+ 020110 046 0.7+ 0.1+ 151022 G32 0.9- 0.1+ 011209 170 0.7- 0.0 020110 235 1.0+ 0.6+ 151022 G32 0.4- 0.1- 011209 170 0.4+ 0.1+ 020111 360 0.8+ 1.1- 151022 G32 0.0 0.6+ 011209 170 1.3+ 1.3+ 020111 360 0.7+ 0.6- 151023 G32 1.3- 0.9- 011209 611 0.7- 0.1+ 020111 620 (2.3+ 0.1+) 151023 G32 1.0- 0.6- 011209 611 1.8- 0.1+ 020111 213 1.4+ 1.7- 151023 G32 0.0 0.3- 011209 611 2.1- 0.0 020111 213 0.7+ 1.1- 151023 G32 0.8+ 1.0- 011210 309 0.6- 0.1- 020111 620 (2.3+ 0.2+) 151031 703 1.3- 1.5+ 011210 349 0.3+ 1.2+ 020111 620 1.6+ 0.4- 151031 703 1.1- 0.9+ 011210 349 0.1+ 1.3+ 020111 170 1.6+ 1.3- 151031 703 0.1+ 1.3+ 011210 349 1.0+ 0.9+ 020111 170 2.1+ 0.5- 151031 703 1.9- 1.6+ 011210 235 (3.7- 2.0+) 020112 235 0.6+ 0.9- 151102 D29 1.4- 0.6+ 011210 587 1.1- 0.7+ 020114 704 1.6- 0.2+ 151102 D29 0.3- 1.0+ 011210 587 1.2- 1.0+ 020114 704 1.9+ 0.3+ 151102 D29 0.2+ 1.0+ 011211 422 0.7- 0.4+ 020114 704 (6.4+ 2.2+) 151106 F51 0.2- 0.2+ 011211 422 0.4- 0.4+ 020116 046 1.8+ 0.2+ 151106 F51 0.3- 0.0 011211 422 0.9- 0.3+ 020116 046 0.8+ 0.1- 151106 F51 0.2- 0.2+ 011211 213 0.9+ 0.4+ 020116 235 0.9- 1.9- 151106 F51 0.3- 0.3+ 011211 213 0.3- 0.4+ 020117 235 0.2+ 0.3+ 151107 F51 0.1- 0.3+ 011211 170 0.3+ 0.6+ 020117 170 0.7+ 0.5+ 151107 F51 0.2- 0.2+ 011211 213 1.9+ 0.4+ 020117 170 (2.9+ 1.2-) 2022/ 011211 170 0.1- 0.4+ 020118 170 (3.0+ 1.1-) 220705 F52 0.6- 0.8+ 011211 170 0.8+ 1.2+ 020120 170 0.4- 0.8- 220705 F52 0.3- 1.0+ 011211 170 0.4- 1.0+ 020129 461 (1.0+ 2.4-) 220705 F52 0.5- 1.0+ 011212 235 0.2- 1.2+ 020129 461 1.4+ 2.2- 220705 F52 0.4- 0.6+ 011213 170 (2.3+ 0.7+) 020129 461 0.0 0.2- 220802 X03 0.5+ 1.2+ 011213 170 0.1- 0.4+ 020131 620 0.6- 1.5- 220802 X03 0.1- 1.3+ 011213 170 (2.4- 1.4+) 020131 620 0.6- 1.8- 220802 X03 0.3- 1.0+ 011214 235 0.6- 1.4+ 020201 402 0.0 1.2- 220802 X03 0.5- 1.3+ 011214 046 0.2- 0.5- 020201 402 1.0+ 1.0- 220802 X03 1.0+ 1.1+ 011214 046 1.3- 0.5+ 020201 402 1.5+ 0.2- 220803 W62 0.7- 2.0+ 011214 046 1.5- 0.4+ 020201 620 1.1- 0.6- 220803 W62 (2.5+ 3.2+) 011214 046 0.5+ 0.7+ 020201 620 0.6+ 1.2+ 220803 W62 1.9+ 1.0+ 011214 046 1.1+ 0.2+ 020202 170 0.1+ 0.8- 220803 D29 2.1- 1.5+ 011214 046 0.2- 0.2- 020202 170 0.5+ 0.7- 220803 D29 1.2- 1.3+ 011215 587 0.8+ 0.4- 020202 170 0.5+ 1.3- 220803 D29 0.4- 1.4+ 011215 587 0.3- 0.0 020207 360 0.3+ 0.7- 220803 G00 0.1- 0.9+ 011216 941 0.8- 0.5- 020207 360 0.5+ 0.8- 220803 G00 0.1+ 0.7+ 011216 941 0.2+ 0.1- 020207 360 0.4+ 1.4- 220803 G00 0.1- 0.4+ 011216 941 0.8- 0.2+ 020310 587 (5.2- 3.0-) 220805 A77 0.3- 1.3+ 011216 235 (2.4- 0.2-) 020310 587 (2.7- 1.8-) 220805 A77 0.1- 1.2+ 011216 213 1.4- 0.0 2008/ 220805 A77 0.5- 1.3+ 011216 213 1.7+ 0.6- 080929 G96 1.0+ 0.5+ 220809 215 0.1- 1.0+ 011218 360 0.1- 0.3- 080929 G96 1.2+ 0.1- 220809 215 0.5- 0.9+ 011218 360 0.1- 0.6- 080929 G96 2.0+ 0.8+ 220809 215 0.1+ 1.5+ 011218 235 1.7- 0.4- 080929 G96 1.7+ 0.6+ ( ) -------- Rejected Obs.

Associate of the CBAT Syuichi Nakano 2022 Aug. 28

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