Nakano Note (Nakano wa Kangaeru noda) NK 2866 82P/Gehrels 3

The following improved orbital elements, by T. Kobayashi, are from 107 observations 1975 to 2011. Perturbations by Mercury to Neptune and three minor planets, Ceres, Pallas and Vesta, were taken into account. The mean residual is +/- 0.70 arc second. See the previous orbits in NK 258, NK 295, NK 319, NK 395, NK 452, NK 458, NK 494, NK 539, NK 682 and NK 1453 (= MPC 59598). Epoch = 2010 Jan. 4.0 TT T = 2010 Jan. 12.08204 +/- 0.00047 (m.e.) TT Peri. = 226.26884 +/- 0.00128 Node = 239.50850 +/- 0.00128 (2000.0) Inc. = 1.12611 +/- 0.00002 q = 3.6333760 +/- 0.0000009 AU e = 0.1222274 +/- 0.0000002 a = 4.1393133 +/- 0.0000015 AU n' = 0.11703388 +/- 0.00000007 P = 8.422 +/- 0.0000045 years T = 1977 Apr. 23.19247 TT Epoch = 1977 Apr. 7.0 TT Peri. = 231.16846 e = 0.1518988 Node = 243.55640 (2000.0) a = 4.0376667 AU Inc. = 1.09886 n'= 0.12148101 q = 3.4243499 AU P = 8.113 years T = 1985 June 3.38345 TT Epoch = 1985 May 15.0 TT Peri. = 230.99458 e = 0.1492914 Node = 243.45554 (2000.0) a = 4.0463205 AU Inc. = 1.09737 n'= 0.12109150 q = 3.4422398 AU P = 8.139 years T = 1993 July 25.43461 TT Epoch = 1993 Aug. 1.0 TT Peri. = 231.57109 e = 0.1507487 Node = 243.33862 (2000.0) a = 4.0353191 AU Inc. = 1.10009 n'= 0.12158703 q = 3.4270001 AU P = 8.106 years T = 2001 Sept. 3.06887 TT Epoch = 2001 Sept. 8.0 TT Peri. = 227.94886 e = 0.1256749 Node = 239.68931 (2000.0) a = 4.1479177 AU Inc. = 1.12714 n'= 0.11666991 q = 3.6266286 AU P = 8.448 years The predicted orbit for the 2018 return is as follows: T = 2018 June 28.61173 TT Epoch = 2018 June 11.0 TT Peri. = 227.19585 e = 0.1225340 Node = 239.31230 (2000.0) a = 4.1417285 AU Inc. = 1.12824 n'= 0.11693153 q = 3.6342259 AU P = 8.429 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 1975/ 1986/ 2002/ 751027 675 0.2- 1.7- 860116 691 (3.2+ 0.5-) 020110 644 (2.2- 1.3-) 751028 675 (1.7+ 2.6-) 860116 691 (3.1+ 0.2+) 020110 644 0.7+ 0.6- 751030 675 0.7- 1.0+ 1987/ 020110 644 0.7- 0.1- 751107 801 0.7+ 1.2+ 870501 691 0.2+ 0.3- 020111 461 0.7- 0.5+ 751109 801 0.6- 1.1+ 870501 691 1.1+ 0.3+ 020111 461 0.3+ 0.6- 751110 801 0.4+ 1.8+ 870501 691 0.1+ 0.2+ 020111 461 0.1+ 0.3+ 751130 801 0.2+ 0.2+ 870523 691 0.6- 0.7+ 020112 461 0.1- 0.9+ 751207 693 0.9+ 0.7+ 870523 691 0.5- 1.2+ 020112 461 0.8- 0.5+ 751207 693 1.1+ 0.8+ 870523 691 1.1- 1.3+ 020113 461 0.5+ 1.0+ 751208 801 1.0- 1.3+ 870524 691 0.1- 0.3+ 020113 461 0.3- 0.8+ 751229 801 (2.1- 1.7+) 870524 691 0.4- 0.0 020113 461 0.1- 0.2- 1976/ 870524 691 0.9- 0.9+ 020118 644 0.0 0.2- 760127 695 0.3- 0.5+ 1992/ 020118 644 0.7- 0.9+ 760225 801 1.5+ 1.7- 920926 691 0.2+ 1.0- 020119 867 0.9+ 1.0- 760226 801 1.8- 0.1- 920926 691 0.6- 0.4- 020119 867 0.3- 0.5- 761023 801 0.0 0.2- 920928 691 0.4- 0.5- 020119 867 0.1- 0.1+ 761120 801 0.7- 1.0+ 920928 691 1.6- 0.7- 020119 867 0.0 0.2+ 761124 693 0.4- 0.3+ 920928 691 0.5- 0.4- 020211 704 0.2- 0.2+ 761124 693 0.3+ 0.6+ 1993/ 020211 704 0.4- 0.6- 761216 801 0.6- 0.8+ 930122 691 0.6+ 0.0 020211 704 0.3- 0.5+ 761224 693 0.2- 0.2+ 930122 691 0.6+ 0.0 020211 704 1.0+ 0.2- 761224 693 0.2- 0.4+ 930122 691 0.7+ 0.6- 020211 704 0.2+ 0.4- 1977/ 931209 691 0.2+ 0.3- 020214 691 0.4+ 0.0 770113 801 1.0- 0.4+ 931209 691 0.5- 0.3- 020214 691 0.2+ 0.0 770216 801 1.0- 0.5+ 931209 691 0.5- 0.5- 020214 691 0.1+ 0.1- 770322 801 (3.6- 2.7+) 1994/ 020215 691 0.1- 0.2+ 771118 801 1.1+ 0.2+ 940116 691 0.3- 0.0 020215 691 0.9+ 0.6- 771211 801 0.6- 1.0+ 940116 691 0.3- 0.5- 020215 691 (2.1+ 0.6-) 1978/ 940116 691 0.1+ 0.2- 020308 360 0.6+ 0.8+ 780203 323 (3.4- 1.2-) 940314 675 (5.1- 0.8-) 020308 360 0.3- 0.6+ 780206 323 (1.6- 3.7-) 940314 675 (2.3+ 1.4+) 020308 360 0.1+ 0.8+ 780211 801 0.0 0.4+ 940405 691 0.9+ 0.8- 2009/ 780302 381 1.1+ 0.9+ 940405 691 1.4+ 0.9- 091228 461 (0.5- 2.3-) 780302 381 0.1+ 0.5+ 940405 691 0.7+ 0.8- 091228 461 1.3- 0.9- 780305 381 1.2+ 0.5- 940502 691 0.6+ 1.1- 091228 461 1.1- 0.5- 780312 885 0.3- 0.3+ 940502 691 0.3+ 0.9- 2010/ 780312 885 0.6+ 1.0- 940502 691 0.9+ 0.9- 100121 F65 0.9- 0.1- 780331 046 (2.4+ 1.5-) 940612 691 0.3- 0.0 2011/ 780407 323 (2.9- 2.4+) 940612 691 0.4+ 0.6- 110304 G96 0.5- 0.2+ 780413 372 (0.9- 2.8+)Y 940612 691 0.6- 0.8- 110304 G96 0.3+ 0.4+ 780509 323 0.2- 1.2+ 1995/ 110304 G96 0.5- 0.2+ 1984/ 950523 691 1.2- 0.9+ 110304 G96 (2.4- 0.7-) 840807 675 1.9+ 0.1- 950523 691 0.3+ 0.7+ 110314 G96 1.2+ 0.5- 840808 675 0.9+ 0.5+ 950523 691 0.6- 0.4- 110314 G96 0.5+ 0.0 1985/ 950523 691 (3.0- 1.4+) 110314 G96 0.3+ 0.0 851219 691 (3.4+ 1.0-) 950623 691 (2.2- 0.4+) 110323 204 (3.5- 2.5-) 851219 691 (2.6+ 0.6-) 950623 691 (2.4- 1.3+) 110323 204 0.7+ 1.2- 851219 691 (2.3+ 0.9-) 950623 691 1.3- 0.5+ ( ) -------- Rejected Obs.

Associate of the CBAT Syuichi Nakano 2015 Apr. 2

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