Nakano Note (Nakano wa Kangaeru noda) NK 4552 P/Garradd (2007 R4 = 2021 U2)

The following improved orbital elements, by S. Nakano, are from 100 observations 2007 to 2021. Perturbations by Mercury to Neptune and three minor planets, Ceres, Pallas and Vesta, were taken into account. The mean residual is +/- 0.71 arc second. Residuals of recovery observations on 2021 Oct. 24 were +6'.0 for Right Ascension and 0'.3 for Declination from the prediction in NK 1565 (= HICQ 2021) with the delta-T correction = -0.20 day. No close approach to Major planets. See the previous orbits in YC 2568, NK 1565 and CBET 5061 (same orbit). Epoch = 2021 Dec. 12.0 TT T = 2021 Dec. 8.50554 +/- 0.00121 (m.e.) TT Peri. = 282.59428 +/- 0.00050 Node = 87.19262 +/- 0.00014 (2000.0) Inc. = 20.20974 +/- 0.00003 q = 1.9576142 +/- 0.0000029 AU e = 0.6699966 +/- 0.0000005 a = 5.9321040 +/- 0.0000119 AU n' = 0.06821674 +/- 0.00000021 P = 14.448 +/- 0.0000436 years T = 2007 Sept.27.28942 TT Epoch = 2007 Sept.17.0 TT Peri. = 282.87315 e = 0.6714004 Node = 87.50152 (2000.0) a = 5.8471824 AU Inc. = 20.22593 n'= 0.06970824 q = 1.9213819 AU P = 14.139 years The predicted orbit for the 2036 return is as follows: T = 2036 May 9.41061 TT Epoch = 2036 May 27.0 TT Peri. = 282.76417 e = 0.6696156 Node = 87.10691 (2000.0) a = 5.9220541 AU Inc. = 20.22824 n'= 0.06839046 q = 1.9565545 AU P = 14.411 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 2007/ 071008 474 0.4+ 0.6+ 071109 474 0.3+ 0.5- 070812 E12 0.3+ 0.6- 071008 474 0.1+ 0.0 071109 474 0.2+ 0.0 070812 E12 1.0- 0.9- 071010 585 (1.4+ 2.5-) 071111 130 0.4+ 0.0 070812 E12 0.5- 1.3- 071010 585 0.5- 0.7+ 071111 130 0.1- 0.0 070812 E12 0.1+ 0.1+ 071010 585 (0.4- 4.7+) 071117 349 0.0 0.3+ 070914 E12 0.8- 0.1+ 071013 423 0.2- 1.0+ 071117 349 0.1- 0.0 070914 E12 1.4- 0.7- 071013 423 0.3- 0.2+ 071117 204 0.2+ 0.3+ 070914 E12 0.7- 0.7- 071013 415 1.0+ 0.3- 071117 204 0.2- 0.6- 070914 E12 0.2- 0.1- 071013 415 0.7+ 0.6- 071125 213 0.4+ 1.7+ 070914 E12 0.3+ 0.2- 071016 E12 0.0 0.3- 071125 213 0.2+ 1.3+ 070914 E12 0.2+ 0.5- 071018 423 0.4- 0.2+ 071128 215 0.5+ 1.0+ 070915 E12 0.2- 0.4- 071018 423 0.1- 0.4+ 071216 349 0.3- 0.3- 070915 E12 0.6+ 0.6- 071019 415 1.7+ 0.8- 071216 349 0.8- 0.1+ 070915 E12 0.7+ 0.4- 071019 415 0.4+ 0.4- 071229 215 0.9- 1.0- 070916 I77 1.3+ 1.2+ 071020 423 0.7- 0.3+ 071229 246 1.6+ 1.4- 070916 I77 0.2- 0.9+ 071020 423 0.7- 1.5+ 071229 246 1.6+ 1.5- 070916 I77 1.2+ 0.2+ 071023 349 0.9- 0.7+ 071229 246 1.7+ 0.6- 070916 474 0.2+ 0.1+ 071023 349 0.7- 1.2+ 071229 246 1.5+ 1.7- 070916 474 0.1- 0.1- 071029 423 1.4- 1.4+ 071230 415 (3.0+ 0.2+) 070916 474 0.2+ 0.5- 071029 415 0.5+ 0.2- 071230 415 (2.7+ 0.9+) 070917 474 0.4+ 0.2- 071029 415 0.6+ 0.3- 2021/ 070917 474 0.1- 0.0 071029 423 0.4- 1.2+ 210813 Q62 0.1- 0.4- 070917 E12 0.3+ 0.2- 071031 349 0.1- 1.1- 210813 Q62 0.2- 0.8- 070918 415 0.7- 0.9- 071031 349 0.3- 0.9- 210815 E94 0.5+ 0.3- 070918 415 0.4- 0.0 071101 213 0.2- 0.8- 210815 E94 1.0+ 0.0 070923 204 0.5- 0.0 071101 213 0.2- 0.6- 210815 E94 0.0 0.4+ 071001 423 0.5- 0.5+ 071101 213 0.1- 0.2- 210905 E94 0.4+ 0.5+ Y 071001 423 0.9- 0.1+ 071103 J47 1.3+ 0.9+ 210905 E94 0.0 1.2+ Y 071002 423 0.6- 0.2- 071103 J47 1.7+ 1.5+ 210905 E94 0.3+ 0.2- Y 071002 423 0.2- 0.6+ 071103 J47 0.8+ 1.6+ 211024 Q62 0.1+ 0.4- 071004 673 0.5- 0.7- 071103 J51 0.7+ 0.1+ 211024 Q62 0.4- 0.7- 071004 673 0.3+ 0.5- 071103 J51 0.6- 0.3+ 211024 Q62 0.4- 0.9- 071004 673 0.6+ 0.1- 071103 J51 1.2- 0.0 211026 Q62 0.7- 0.4- 071004 673 0.7+ 0.2+ 071106 213 0.9- 0.8- 211026 Q62 0.9- 0.4- 071004 423 0.9- 0.4+ 071106 213 1.1- 0.6- 071004 423 0.4- 0.4+ 071106 213 0.7- 0.5+ ( ) -------- Rejected Obs.

Associate of the CBAT Syuichi Nakano 2021 Oct. 29

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