Nakano Note (Nakano wa Kangaeru noda) NK 2153 170P/Christensen

The following improved orbital elements, by S. Nakano, are from 125 observations 1997 to 2008, 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 +/- 0.84 arc second. See the previous orbits in YC 2476, YC 2478, YC 2483, NK 1216 (= HICQ 2006) and NK 1280. Epoch = 2006 Jan. 25.0 TT T = 2006 Jan. 26.71804 +/- 0.00961 (m.e.) TT Peri. = 225.43727 +/- 0.00262 Node = 143.03483 +/- 0.00014 (2000.0) Inc. = 10.12576 +/- 0.00004 q = 2.9300870 +/- 0.0000417 AU e = 0.3038131 +/- 0.0000084 a = 4.2087648 +/- 0.0000186 AU n' = 0.11414899 +/- 0.00000076 P = 8.634 +/- 0.0000574 years Y1 = -0.835 +/- 0.336 Y2 = +0.72856 +/- 0.07667 T = 1997 June 20.74596 TT Epoch = 1997 June 1.0 TT Peri. = 225.40989 e = 0.3058041 Node = 143.06188 (2000.0) a = 4.1912486 AU Inc. = 10.13947 n'= 0.11486533 q = 2.9095476 AU P = 8.581 years The predicted orbit for the 2014 return is as follows: T = 2014 Sept.19.16659 TT Epoch = 2014 Sept.20.0 TT Peri. = 225.84568 e = 0.3047265 Node = 142.91923 (2000.0) a = 4.2013272 AU Inc. = 10.12814 n'= 0.11445224 q = 2.9210717 AU P = 8.612 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 1997/ 050811 673 0.7+ 0.6+ 050930 213 0.0 0.5+ 971031 566 0.9- 0.5- 050811 673 0.6+ 0.5+ 050930 213 0.1+ 0.2+ 971031 566 0.4+ 0.1- 050817 673 0.0 0.2+ 050930 213 0.3+ 0.2+ 971031 566 0.9+ 1.4- 050817 673 0.2+ 0.9+ 051125 G96 1.0+ 0.5+ 971130 566 0.6+ 1.6- 050817 673 1.2- 0.3+ 051125 G96 1.9+ 1.1+ 971227 566 0.4+ 1.6- 050817 673 1.5+ 0.8+ 051125 G96 1.8+ 1.1+ 2005/ 050825 213 0.6- 1.5+ 051125 G96 1.4+ 0.9+ 050617 G96 1.3- 0.2+ 050825 213 0.3- 1.2+ 2006/ 050617 G96 1.1- 0.2+ 050825 213 0.6- 0.5+ 061117 703 0.4+ 1.6+ 050617 G96 0.8- 0.2+ 050827 644 0.1+ 0.1+ 061117 703 0.3+ 1.8+ 050617 G96 0.6- 0.1- 050827 644 0.4+ 0.0 061117 703 0.5+ 1.7+ 050618 734 1.1- 0.9+ 050827 644 0.4+ 0.2- 061117 703 0.2+ 1.9+ 050618 734 0.9- 0.6- 050829 704 0.2- 0.1+ 061118 170 0.5+ 1.4+ 050618 734 (3.4- 1.1-) 050829 704 1.2+ 0.3+ 061118 170 0.5+ 1.6+ 050618 G96 0.5- 0.8+ 050829 704 0.7+ 0.4+ 061118 170 1.1+ 1.5+ 050618 G96 0.3- 0.5+ 050829 704 (0.4- 3.0+) 061119 704 1.6+ 1.6+ 050618 G96 0.0 1.0+ 050829 704 1.4+ 0.1- 061119 704 (0.5- 2.3+) 050618 G96 0.1+ 0.9+ 050829 699 0.7- 0.2- 061119 704 1.1- 0.7+ 050619 474 1.8- 0.4+ 050829 699 0.5- 1.1- 061201 204 0.1+ 1.3+ 050619 474 1.4- 0.2+ 050829 699 0.7- 1.5- 061201 204 0.1- 1.6+ 050619 474 (2.1- 0.2-) 050829 699 0.1- 0.6- 061210 699 0.3- 0.0 050619 474 0.9- 1.2- 050829 615 0.5- 1.0- 061210 699 (2.9- 2.4+) 050630 G96 0.5- 0.3+ 050829 615 0.2- 1.5- 061210 699 (0.2+ 2.6+) 050630 G96 0.7- 0.3+ 050829 615 0.0 0.3+ 061210 699 (1.4- 3.3+) 050703 413 0.1+ 0.5+ 050830 615 0.2- 0.7- 061211 703 0.7- 2.0+ 050703 413 0.3- 0.7+ 050830 615 0.3- 0.4- 061211 703 0.6- 0.5+ 050704 413 0.2- 0.2+ 050830 615 0.7- 0.0 061211 703 (3.2- 0.7+) 050704 413 0.1- 0.3+ 050905 703 0.2- 0.7+ 061211 703 1.3- 0.3+ 050726 213 0.9+ 0.3+ 050905 703 (3.3- 0.8-) 061213 215 0.5- 0.6- 050727 213 0.3+ 0.6+ 050905 703 2.0- 0.3- 061213 215 0.3- 0.3+ 050727 213 0.1- 1.3+ 050905 703 0.2- 1.5- 061213 215 0.1- 1.3+ 050804 644 0.8+ 0.8+ 050905 215 1.1- 1.0- 061223 130 0.7- 0.8+ 050804 644 0.5+ 0.5+ 050906 415 0.1+ 0.6- 061223 130 1.3- 1.3+ 050804 644 0.5+ 0.3+ 050906 415 0.8+ 0.4- 061223 130 1.4- 0.7+ 050805 644 0.4+ 0.6+ 050909 D83 0.5- 0.0 2007/ 050805 644 0.3+ 0.5+ 050909 D83 1.1- 0.6- 070108 G96 1.5- 1.1+ 050805 644 0.5+ 0.2+ 050909 D83 1.4- 0.2- 070108 G96 2.0- 1.7+ 050806 644 0.5+ 0.8+ 050929 415 0.2+ 0.3- 070108 G96 1.5- 1.2+ 050806 644 0.9+ 0.2+ 050929 415 0.5+ 0.6- 070108 G96 1.3- 1.2+ 050806 644 0.4+ 0.4+ 050930 G96 0.0 0.4- 2008/ 050808 D74 0.2+ 0.6+ 050930 699 0.0 1.4- 080111 691 0.1+ 0.7- 050808 D74 0.5- 1.1+ 050930 G96 0.2+ 0.3- 080111 691 1.5+ 1.3- 050808 D74 0.1- 1.3+ 050930 G96 0.1+ 0.5- 080111 691 1.4+ 1.1- 050808 A79 (3.7- 2.2-) 050930 699 0.4+ 0.9- 080227 G96 0.0 0.2- 050809 A79 (2.7- 7.8-) 050930 699 0.2+ 0.4+ 080227 G96 0.1- 0.3+ 050811 673 0.1+ 0.3+ 050930 699 1.1+ 0.0 080227 G96 0.3+ 0.7- 050811 673 0.6+ 0.4+ 050930 415 0.0 0.3- 080227 G96 0.8- 0.4- ( ) -------- Rejected Obs.

Associate of Central Bureau for Astronomical Telegrams Syuichi Nakano 2011 Nov. 3

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