Nakano Note (Nakano wa Kangaeru noda) NK 1968 P/Spahr (1998 U4 = 2010 P3)

The following improved orbital elements, by S. Nakano, are from 139 observations 1997 to 2010. Perturbations by Mercury to Neptune and three minor planets, Ceres, Pallas and Vesta, were taken into account. The mean residual is +/- 0.67 arc second. The correction to the prediction in NK 1664 (= HICQ 2008/2009) is -0.065 day. RunOff values are +28" for R.A. and -29" for Decl.. See the previous orbits in NK 756 and NK 1664. Epoch = 2012 Apr. 23.0 TT T = 2012 Apr. 3.59023 +/- 0.00179 (m.e.) TT Peri. = 247.68554 +/- 0.00022 Node = 180.77312 +/- 0.00005 (2000.0) Inc. = 32.48283 +/- 0.00002 q = 3.9799435 +/- 0.0000041 AU e = 0.2788560 +/- 0.0000007 a = 5.5189304 +/- 0.0000014 AU n' = 0.07601892 +/- 0.00000003 P = 12.965 +/- 0.0000050 years T = 1999 Feb. 26.51230 TT Epoch = 1999 Mar. 3.0 TT Peri. = 251.75000 e = 0.3100155 Node = 181.71689 (2000.0) a = 5.5701884 AU Inc. = 31.51910 n'= 0.07497203 q = 3.8433435 AU P = 13.146 years The predicted orbit for the 2024 return is as follows: T = 2024 Dec. 23.22506 TT Epoch = 2025 Jan. 5.0 TT Peri. = 244.90900 e = 0.2826890 Node = 180.29703 (2000.0) a = 5.5368180 AU Inc. = 32.42901 n'= 0.07565083 q = 3.9716205 AU P = 13.028 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 1997/ 981115 360 0.1+ 0.2+ 990214 360 0.1+ 0.7+ 971029 566 0.6+ 1.2+ 981122 900 0.5+ 0.4+ 990214 360 0.1- 0.9+ 971029 566 0.9- 0.1- 981122 900 1.1- 0.6+ 990216 071 0.4+ 1.0+ 971029 566 0.0 0.9+ 981123 372 0.4+ 0.2+ 990216 071 1.7+ 0.9+ 971029 566 0.3+ 0.6+ 981123 360 0.3+ 0.8- 990216 071 1.6+ 0.4+ 971227 566 1.1+ 1.3+ 981123 360 0.3+ 0.4- 990216 071 1.4+ 0.5+ 1998/ 981126 402 0.4+ 0.2- 990216 071 (2.0+ 0.5+) 981027 703 0.7- 0.5+ 981126 402 0.3+ 0.9- 990216 071 1.8+ 1.0+ 981027 703 1.1- 0.2+ 981126 402 0.1+ 0.6- 990216 071 1.5+ 0.9+ 981027 703 0.7- 0.9+ 981127 696 0.2- 0.4- 991109 402 0.9- 0.4- 981028 703 0.6- 0.1- 981130 696 0.1- 1.0- 991109 402 0.8- 0.7- 981028 703 0.0 0.4+ 981206 104 0.7- 0.2- 991109 402 0.7- 0.1+ 981028 703 0.3- 0.0 981206 104 0.6+ 0.3+ 991109 402 0.2- 0.1+ 981028 691 1.0- 1.2+ 981209 761 (3.5+ 2.9-) 991113 695 0.5- 1.0+ 981029 703 1.7- 0.4+ 981209 761 (2.0+ 2.5-) 991113 695 0.7- 0.8+ 981029 703 (2.3- 0.1-) 981209 113 0.4- 0.3- 991116 474(35.4+ 25.9+) 981029 713 0.6- 0.3+ 981209 113 1.6- 0.9+ 991116 474(34.3+ 30.0+) 981029 703 0.6- 0.2+ 981210 118 0.4+ 0.4- 991117 474 0.3- 1.9+ 981030 734 0.0 0.1- 981210 118 0.1- 0.0 991117 474 (0.6- 2.0+) 981030 734 0.2+ 0.1- 981212 402 0.1- 1.3- 991117 474 (1.5- 2.4+) 981030 734 0.2- 0.1+ 981212 402 0.2- 0.7- 991203 360 0.1+ 0.3- 981030 658 0.7- 0.5- 981212 402 0.3- 1.2- 991203 360 0.7- 0.0 981030 658 0.7- 0.5- 981213 897 0.1+ 0.1- 991203 360 0.3- 0.2- 981030 587 0.9- 1.1- 981213 897 0.2- 0.4- 991220 897 0.2- 1.4- 981030 587 0.6- 0.6- 981213 897 1.4- 0.2- 991220 897 (2.2- 0.0 ) 981031 402 0.4- 0.3+ 981217 360 0.0 0.2+ 991220 897 (3.2- 0.3+) 981031 402 0.3+ 0.7+ 981217 360 0.2+ 0.4+ 991231 704 0.3+ 0.0 981103 402 1.4+ 0.4- 981218 402 0.4- 1.1- 991231 704 0.3- 0.1- 981103 402 0.8+ 0.3- 981218 402 0.0 1.3- 991231 704 0.0 0.5- 981103 402 0.5+ 0.3+ 981218 402 0.5- 0.9- 991231 704 0.2+ 0.1+ 981107 046 0.5- 0.5- 981224 402 0.4+ 0.0 2000/ 981107 046 0.5+ 0.1- 981224 402 0.6+ 0.4+ 000104 402 0.4- 0.5- 981107 046 0.0 0.3- 981224 402 0.0 0.3+ 000104 402 0.9+ 0.1+ 981107 046 0.4- 0.8- 1999/ 000118 402 1.3+ 1.3+ 981110 360 0.0 0.5- 990105 402 1.3+ 1.2+ 000118 402 0.7+ 0.4+ 981110 360 0.1- 0.4- 990105 402 0.4+ 0.9+ 000118 402 0.5- 0.7- 981110 360 0.2- 0.3- 990105 402 0.9+ 0.2+ 000210 704 0.2+ 0.0 981111 355 0.5+ 0.3+ 990113 372 0.9- 1.3+ 000210 704 1.2+ 0.3- 981111 897 0.7- 0.6- 990114 691 0.3+ 0.0 000210 704 0.2+ 0.0 981111 355 0.4- 1.5+ 990114 691 0.4+ 0.1- 2001/ 981111 897 0.4- 0.6- 990114 691 0.1+ 0.1+ 010217 608 0.1+ 0.2- 981111 897 0.1- 0.8- 990118 402 1.2+ 1.3+ 010217 608 0.9+ 0.3- 981112 402 0.2- 0.5- 990118 402 1.0+ 0.6+ 010217 608 0.5- 0.2+ 981112 402 0.1+ 0.8- 990118 402 0.4+ 1.3+ 010415 608 0.2- 0.3- 981112 402 0.0 0.6- 990121 360 0.1+ 0.1- 2010/ 981112 360 0.6+ 0.9- 990121 360 0.3+ 0.2+ 100814 H36 0.8- 0.0 981112 372 1.3- 0.2- 990121 046 0.6+ 1.3+ 100814 H36 0.5- 0.3- 981112 360 0.3+ 0.6- 990121 046 0.9+ 0.3+ 100814 H36 0.2+ 0.7- 981112 360 0.1+ 0.5- 990121 046 1.3+ 0.3+ 100816 H36 0.9+ 0.0 981114 372 0.6- 0.2+ 990204 402 0.5- 0.6- 100816 H36 0.3+ 0.1+ 981115 372 1.2+ 0.4- 990204 402 1.1- 0.4- 100816 H36 0.1- 0.1- 981115 360 0.3+ 0.1+ 990204 402 0.3- 0.4- ( ) -------- Rejected Obs.

Associate of Central Bureau for Astronomical Telegrams Syuichi Nakano 2010 Aug. 20

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