Nakano Note (Nakano wa Kangaeru noda) NK 1804 64P/Swift-Gehrels

The following improved orbital elements, by S. Nakano, are from 64 observations 1981 to 2009, 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 +/- 0.83 arc second. The delta-T correction for the prediction in NK 1316 is +0.053 day. See orbits in NK 652 and NK 1316. Epoch = 2009 June 18.0 TT T = 2009 June 14.35371 +/- 0.00027 (m.e.) TT Peri. = 96.30548 +/- 0.00030 Node = 300.74300 +/- 0.00020 (2000.0) Inc. = 8.95138 +/- 0.00003 q = 1.3770044 +/- 0.0000022 AU e = 0.6895520 +/- 0.0000002 a = 4.4355396 +/- 0.0000017 AU n' = 0.10550776 +/- 0.00000006 P = 9.342 +/- 0.0000055 years A1 = +0.092 +/- 0.025 A2 = +0.03790 +/- 0.00022 T = 1981 Nov. 27.45418 TT Epoch = 1981 Nov. 12.0 TT Peri. = 84.50930 e = 0.6913264 Node = 314.75563 (2000.0) a = 4.4092581 AU Inc. = 9.24890 n'= 0.10645248 q = 1.3610216 AU P = 9.259 years T = 1991 Feb. 22.73111 TT Epoch = 1991 Mar. 5.0 TT Peri. = 84.82130 e = 0.6916144 Node = 314.44212 (2000.0) a = 4.3942217 AU Inc. = 9.25480 n'= 0.10699935 q = 1.3551146 AU P = 9.211 years T = 2000 Apr. 21.82017 TT Epoch = 2000 Apr. 6.0 TT Peri. = 92.41512 e = 0.6946223 Node = 306.14093 (2000.0) a = 4.3842300 AU Inc. = 8.43764 n'= 0.10736533 q = 1.3388462 AU P = 9.180 years The predicted orbit for the 2018 return is as follows: T = 2018 Nov. 3.85966 TT Epoch = 2018 Nov. 18.0 TT Peri. = 97.15332 e = 0.6874850 Node = 299.99653 (2000.0) a = 4.4580643 AU Inc. = 8.94863 n'= 0.10470914 q = 1.3932121 AU P = 9.413 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 1981/ 811126 491 0.4+ 0.3+ 001222 696 0.5+ 0.4+ 810711 801 (2.0- 4.9+) 811127 489 0.6- 0.8+ 001222 696 0.6+ 0.1- 810731 801 1.1+ 1.2+ 811127 489 0.9- 0.8+ 001223 696 0.2- 0.3+ 810801 801 0.3+ 0.6- 811128 494 0.5+ 0.3- 001223 696 0.5+ 0.1+ 810802 801 0.5- 1.4- 811128 494 0.2+ 1.3- 001229 867 0.2- 0.1+ 810805 372 (0.7- 4.8+) 811201 020 (5.6+ 3.2+) 001229 867 0.1- 0.5+ 810824 046 0.3+ 1.3+ 811217 489 1.0+ 0.7+ 001229 867 0.2- 0.8+ 810824 046 0.2- 1.3+ 811217 489 0.5+ 0.4+ 2001/ 810826 801 1.0+ 0.6- 811219 801 (6.4- 0.3+) 010226 360 0.9- 0.4+ 810828 046 (1.0+ 3.0-) 811222 494 (5.1+ 0.8+) 010226 360 0.8+ 0.2+ 810828 046 0.5+ 1.8- 811222 489 (4.7+ 3.9+) 010226 360 0.5+ 0.8- 810901 381 (5.2+ 1.8-) 811222 489 0.3+ 0.0 010226 867 0.2+ 0.5+ 810906 046 0.6+ 1.8+ 811222 494 1.2+ 1.4- 010226 867 0.1- 0.3- 810906 046 1.4- 0.8- 811231 489 0.2- 0.8- 010226 867 0.1+ 0.0 810921 046 1.2- 0.5- 1982/ 2009/ 810925 801 1.2- 1.3+ 820117 887 1.5- 1.5- 090626 349 (3.6+ 0.4-) 810929 491 0.9- 1.9+ 820120 801 1.3- 0.0 090626 349 (4.3+ 1.0-) 810930 491 2.2+ 1.2- 820125 491 1.2- 0.4- 090626 349 (4.0+ 1.1-) 811028 491 0.8- 0.3- 820126 491 0.7+ 1.6+ 090626 349 (3.5+ 0.3-) 811029 020 (1.0+ 3.6+) 1991/ 090707 349 0.1- 0.4+ 811029 491 0.8- 0.3- 910107 372 0.5- 2.1- 090707 349 0.3- 0.6+ 811102 801 0.0 0.3- 910107 372 (5.3- 0.0 ) 090712 349 0.0 0.7- 811105 707 0.5- 0.5+ 910112 372 1.9- 0.8+ 090712 349 0.7+ 0.2- 811115 707 1.5+ 0.4- 910113 372 (0.2- 3.7-) 090715 349 0.4+ 0.1- 811115 504(78.9+ 30.8+) 910113 372 (3.3- 1.0-) 090715 349 0.3- 0.3+ 811115 504(76.0+ 32.3+) 910113 372 0.3- 0.7- 090715 349 0.5- 0.5+ 811123 801 (0.6+ 2.7+) 910113 372 0.8- 0.1- 090715 349 0.7- 0.5+ 811125 491 (3.0+ 1.4+) 910402 372 1.8+ 0.7+ 090719 349 0.5+ 0.1+ 811126 552 0.2+ 0.3- 910402 372 1.6+ 1.2+ 090719 349 0.1+ 0.2- 811126 552 (2.7+ 2.6-) 910402 372 0.5- 0.1- 811126 552 0.5+ 0.1+ 2000/ ( ) -------- Rejected Obs.

Managing Director of the Oriental Astronomical Association Syuichi Nakano 2009 July 27

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