Nakano Note (Nakano wa Kangaeru noda) NK 2743 170P/Christensen

The following improved orbital elements, by S. Nakano, are from 131 observations 1997 to 2014, including planetary perturbations by Mercury to Neptune and three minor planets, Ceres, Pallas, Vesta, and non-gravitational effect of sublimating molecule = CO (or N2) using Yabushita's theory (MN 283, 347). The mean residual is +/- 0.68 arc second. The residuals for 2014 observations were +846" (R. A.) and +236" (Decl.) from the prediction in NK 2153 (= HICQ 2013) with the delta-T correction = -1.1 days. See the previous orbits in NK 1216, NK 1280 and NK 2153. Epoch = 2014 Sept.20.0 TT T = 2014 Sept.17.96699 +/- 0.00480 (m.e.) TT Peri. = 225.82739 +/- 0.00111 Node = 142.91945 +/- 0.00010 (2000.0) Inc. = 10.12796 +/- 0.00003 q = 2.9206135 +/- 0.0000027 AU e = 0.3045610 +/- 0.0000046 a = 4.1996688 +/- 0.0000067 AU n' = 0.11452004 +/- 0.00000027 P = 8.606 +/- 0.0000204 years Y1 = +0.291 +/- 0.217 Y2 = -0.11771 +/- 0.00050 { T = 1997 June 20.72179 TT Epoch = 1997 June 1.0 TT Peri. = 225.40874 e = 0.3058050 Node = 143.06191 (2000.0) a = 4.1916227 AU Inc. = 10.13927 n'= 0.11484995 q = 2.9098035 AU P = 8.582 years } T = 2006 Jan. 26.66613 TT Epoch = 2006 Jan. 25.0 TT Peri. = 225.42726 e = 0.3037300 Node = 143.03489 (2000.0) a = 4.2081197 AU Inc. = 10.12556 n'= 0.11417524 q = 2.9299875 AU P = 8.632 years The predicted orbit for the 2023 return is as follows: T = 2023 Apr. 19.74716 TT Epoch = 2023 Apr. 6.0 TT Peri. = 225.39071 e = 0.3054953 Node = 142.90762 (2000.0) a = 4.2098387 AU Inc. = 10.11800 n'= 0.11410532 q = 2.9237527 AU P = 8.638 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 1997/ 050817 673 1.4- 0.1+ 061117 703 0.7- 0.8+ 971031 566 0.1- 3.9- 050817 673 1.2+ 0.6+ 061117 703 0.8- 0.9+ 971031 566 1.2+ 3.4- 050825 213 0.6- 1.5+ 061117 703 0.5- 0.9+ 971031 566 1.6+ 4.8- 050825 213 0.3- 1.2+ 061117 703 0.8- 1.0+ 971130 566 1.3+ 4.6- 050825 213 0.6- 0.5+ 061118 170 0.5- 0.5+ 971227 566 2.1+ 3.3- 050827 644 0.1+ 0.2+ 061118 170 0.5- 0.7+ 2005/ 050827 644 0.3+ 0.1+ 061118 170 0.1+ 0.6+ 050617 G96 0.6- 0.6- 050827 644 0.3+ 0.1- 061119 704 0.7+ 0.7+ 050617 G96 0.4- 0.6- 050829 704 0.2- 0.1+ 061119 704 1.4- 1.5+ 050617 G96 0.1- 0.6- 050829 704 1.2+ 0.4+ 061119 704 (2.1- 0.2-) 050617 G96 0.1+ 1.0- 050829 704 0.7+ 0.5+ 061201 204 0.2- 0.6+ 050618 734 0.5- 0.0 050829 704 (0.4- 3.1+) 061201 204 0.4- 0.9+ 050618 734 0.2- 1.4- 050829 704 1.4+ 0.0 061210 699 0.0 0.6- 050618 734 (2.8- 2.0-) 050829 699 0.7- 0.1- 061210 699 (2.6- 1.8+) 050618 G96 0.2+ 0.0 050829 699 0.5- 1.0- 061210 699 0.5+ 1.9+ 050618 G96 0.4+ 0.3- 050829 699 0.7- 1.4- 061210 699 (1.1- 2.7+) 050618 G96 0.6+ 0.1+ 050829 699 0.1- 0.5- 061211 703 0.4- 1.5+ 050618 G96 0.7+ 0.0 050829 615 0.5- 0.9- 061211 703 0.2- 0.1- 050619 474 1.2- 0.4- 050829 615 0.2- 1.4- 061211 703 (2.8- 0.1+) 050619 474 0.8- 0.7- 050829 615 0.1+ 0.4+ 061211 703 0.9- 0.3- 050619 474 1.5- 1.0- 050830 615 0.2- 0.6- 061213 215 0.0 1.2- 050619 474 (0.3- 2.0-) 050830 615 0.3- 0.3- 061213 215 0.2+ 0.3- 050630 G96 0.3- 0.6- 050830 615 0.6- 0.1+ 061213 215 0.4+ 0.8+ 050630 G96 0.6- 0.7- 050905 703 0.1- 1.0+ 061223 130 0.4+ 0.3+ 050703 413 0.1+ 0.4- 050905 703 (3.1- 0.5-) 061223 130 0.2- 0.9+ 050703 413 0.2- 0.3- 050905 703 1.8- 0.0 061223 130 0.3- 0.3+ 050704 413 0.2- 0.7- 050905 703 0.0 1.2- 2007/ 050704 413 0.1- 0.7- 050905 215 0.9- 0.7- 070108 G96 0.3+ 0.8+ 050726 213 0.4+ 0.5- 050906 415 0.3+ 0.3- 070108 G96 0.1- 1.4+ 050727 213 0.1- 0.1- 050906 415 1.0+ 0.1- 070108 G96 0.3+ 0.9+ 050727 213 0.5- 0.5+ 050909 D83 0.2- 0.3+ 070108 G96 0.5+ 0.9+ 050804 644 0.4+ 0.2+ 050909 D83 0.8- 0.2- 2008/ 050804 644 0.1+ 0.1- 050909 D83 1.1- 0.1+ 080111 691 1.6- 0.2- 050804 644 0.1+ 0.3- 050929 415 0.6+ 0.4+ 080111 691 0.3- 0.8- 050805 644 0.0 0.1+ 050929 415 0.9+ 0.1+ 080111 691 0.3- 0.7- 050805 644 0.1- 0.0 050930 G96 0.4+ 0.2+ 080227 G96 0.9+ 0.7- 050805 644 0.2+ 0.4- 050930 699 0.4+ 0.8- 080227 G96 0.8+ 0.2- 050806 644 0.1+ 0.2+ 050930 G96 0.6+ 0.3+ 080227 G96 1.1+ 1.2- 050806 644 0.5+ 0.4- 050930 G96 0.6+ 0.2+ 080227 G96 0.1+ 0.9- 050806 644 0.0 0.1- 050930 699 0.8+ 0.3- 2014/ 050808 D74 0.2- 0.1+ 050930 699 0.6+ 1.1+ 140625 G96 0.1- 1.1+ 050808 D74 0.9- 0.6+ 050930 699 1.5+ 0.6+ 140625 G96 0.3- 0.8+ 050808 D74 0.4- 0.8+ 050930 415 0.4+ 0.4+ 140625 G96 0.1- 0.7+ 050808 A79 (4.1- 2.7-) 050930 213 0.4+ 1.1+ 140625 G96 0.2- 1.1+ 050809 A79 (3.0- 8.2-) 050930 213 0.5+ 0.8+ 140702 Q62 0.9- 1.0+ 050811 673 0.2- 0.1- 050930 213 0.7+ 0.8+ 140702 Q62 0.7- 1.1+ 050811 673 0.3+ 0.0 051125 G96 0.2- 0.5+ 140702 Q62 0.7- 1.1+ 050811 673 0.4+ 0.2+ 051125 G96 0.7+ 1.2+ 140703 Q62 0.0 1.3+ 050811 673 0.3+ 0.1+ 051125 G96 0.6+ 1.1+ 140703 Q62 0.3- 1.1+ 050817 673 0.2- 0.0 051125 G96 0.2+ 0.9+ 140703 Q62 0.3+ 1.1+ 050817 673 0.0 0.7+ 2006/ ( ) -------- Rejected Obs.

Associate of the CBAT Syuichi Nakano 2014 July 9

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