OAA computing section circular NK 931 98P/Takamizawa
The following improved orbital elements, by S. Nakano, are from 160 observations 1984 to 1998, 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 +/- 0.96 arc second. Epoch = 1998 Nov. 3.0 TT T = 1998 Nov. 7.99055 +/- 0.00357 (m.e.) TT Peri. = 147.80085 +/- 0.00101 Node = 124.84584 +/- 0.00010 (2000.0) Inc. = 9.48973 +/- 0.00002 q = 1.5852217 +/- 0.0000024 AU e = 0.5751635 +/- 0.0000028 a = 3.7313684 +/- 0.0000067 AU n' = 0.13674198 +/- 0.00000037 P = 7.208 +/- 0.0000193 years A1 = +0.862 +/- 0.164 A2 = +0.02359 +/- 0.00224 T = 1984 May 24.96042 TT Epoch = 1984 May 20.0 TT Peri. = 147.57573 e = 0.5739249 Node = 124.89676 (2000.0) a = 3.7425678 AU Inc. = 9.46557 n'= 0.13612866 q = 1.5946148 AU P = 7.240 years T = 1991 Aug. 17.91318 TT Epoch = 1991 Aug. 12.0 TT Peri. = 147.67712 e = 0.5745806 Node = 124.91907 (2000.0) a = 3.7369930 AU Inc. = 9.47945 n'= 0.13643338 q = 1.5897892 AU P = 7.224 years The predicted orbit for the 2006 return is as follows: T = 2006 Mar. 6.47623 TT Epoch = 2006 Mar. 6.0 TT Peri. = 157.87842 e = 0.5621050 Node = 114.76563 (2000.0) a = 3.7972798 AU Inc. = 10.55667 n'= 0.13319722 q = 1.6628097 AU P = 7.400 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 1984/ 840823 046 0.4+ 0.7- 910217 691 0.7- 0.3+ 840706 026 (0.5- 2.7+) 840823 046 1.3+ 0.5- 910217 691 0.2- 1.0+ 840708 026 1.4+ 0.1- 840824 801 1.4- 0.4+ 910219 691 0.2+ 0.6+ 840726 372 (3.9- 4.2+) 840824 372 1.4+ 0.9+ 910219 691 0.5+ 0.1- 840726 372 (6.6- 4.9+)Y 840824 323 1.2+ 0.2+ 910219 691 0.0 0.1+ 840731 387 (1.7- 2.5-) 840825 474 0.3- 0.0 910222 372 1.1+ 0.2+ 840801 675(10.3- 1.5+) 840825 474 0.7- 0.5+ 910317 801 1.4- 1.2+ 840801 381 0.3+ 0.6+ 840826 811 (1.0- 2.8+) 910317 801 0.8- 1.3+ 840802 010 1.4- 1.5+ 840826 801 0.0 0.6- 910320 801 1.3- 0.8+ 840802 010 (2.3- 2.7-) 840827 801 0.5- 0.4+ 910320 801 1.5- 1.3+ 840802 010 (2.8+ 2.7+) 840827 707 0.3- 0.2- 910408 675 0.2+ 0.5- 840802 657 0.9+ 0.2- 840827 323 0.2+ 0.9+ 910408 675 2.2+ 0.3- 840802 415 1.2- 0.3- 840828 801 0.9- 0.0 910411 657 0.5+ 1.3+ 840802 415 0.9- 0.0 840828 323 0.7+ 0.8+ 910411 657 0.6+ 0.6+ 840802 323 0.6- 0.3+ 840828 056 0.2- 1.1+ 910411 675 0.7+ 1.4- 840802 323 0.9- 0.3+ 840828 056 (2.7+ 2.3+) 910411 675 0.8- 1.5+ 840802 372 (1.6- 4.0+) 840828 051 0.7- 0.7- 910412 801 0.9- 0.3+ 840802 323 0.5- 0.1- 840828 051 0.1+ 0.4- 910412 801 2.2- 0.7+ 840802 372 (1.7- 5.1+) 840829 323 0.9- 2.2+ 910412 657 2.2- 0.8- 840802 046 0.4- 0.5- 840829 056 (1.0+ 2.4+) 910413 801 1.0- 0.4+ 840802 046 0.7- 0.9- 840901 026 0.9+ 1.8+ 910413 675 0.2- 0.9- 840803 046 0.1- 1.4- 840902 046 (3.4- 0.9-) 910414 801 0.4- 0.5+ 840803 046 1.1- 1.0- 840903 688 (7.7- 2.0+) 910414 801 0.2- 0.2+ 840803 688 0.7+ 0.9- 840903 688 0.9+ 1.9+ 910422 691 0.2+ 0.1+ 840803 688 0.5+ 0.7- 840913 809 2.2+ 0.6+ 910422 691 0.4+ 0.4+ 840803 657 1.7- 0.6- 840913 809 (2.8+ 0.5+) 910422 691 0.2+ 0.6+ 840803 415 0.7+ 0.1+ 840913 809 (3.2+ 0.3+) 910502 657 0.2- 0.6+ 840803 323 0.4- 0.4- 840918 809 0.9- 0.4+ 910502 657 0.2+ 0.2+ 840803 056 0.1+ 0.6- 840918 809 1.0- 0.2+ 910511 801 0.0 0.3+ 840803 056 0.7- 0.3+ 840918 809 0.9- 0.0 910511 801 0.7+ 0.0 840803 046 0.5- 0.8- 840919 071 (3.3+ 2.6+) 910512 801 0.1+ 0.2+ 840803 046 0.2- 1.2- 840919 071 (0.2- 2.8+) 910512 801 0.1+ 0.1+ 840804 046 1.9- 1.2- 840920 474 0.0 1.5+ 910514 494 1.4+ 2.0+ 840804 046 0.8- 0.8- 840920 809 0.9+ 0.5+ 910517 801 0.7+ 0.8- 840804 387 (3.8- 1.5-) 840920 809 0.8+ 0.5+ 910517 801 0.6+ 0.5- 840804 387 1.4- 0.7- 840921 809 0.7+ 0.4+ 910611 801 2.0+ 0.3- 840804 056 0.9- 0.2+ 840921 809 1.5+ 0.9+ 910611 801 1.9+ 0.4- 840804 056 1.0- 1.4+ 840921 809 1.5+ 1.0+ 910614 801 1.8+ 0.6- 840805 993 (3.5- 1.0-) 840922 809 1.4+ 0.9+ 910614 801 1.4+ 0.8- 840806 985 (3.8- 3.2-) 840922 809 1.5+ 1.1+ 910710 801 0.7+ 2.3- 840806 372 0.1+ 2.0+ 840922 809 1.7+ 1.1+ 910710 801 0.1+ 0.5- 840806 372 1.5+ 1.4+ 840922 809 1.9+ 1.1+ 910712 801 0.3+ 0.9- 840806 051 1.1- 0.4- 840924 095 0.4+ 1.7+ 910712 801 0.2+ 1.2- 840806 051 1.0- 0.5- 840924 095 0.8- 1.8+ 910806 801 (0.8- 2.6-) 840808 372 0.3- 0.0 840925 095 (4.5+ 2.7+) 910806 801 1.7- 0.7- 840815 415 1.6- 0.4- 840925 095 0.3+ 1.0- 910812 801 1.1+ 0.3+ 840817 046 1.0+ 0.3- 840926 095 (5.0- 1.3+) 910812 801 0.2+ 0.2+ 840817 046 2.2+ 1.5- 840926 095 (1.8+ 5.3+) 910912 801 1.2- 0.9- 840817 026 0.4+ 1.6- 840927 809 1.1+ 0.8+ 910912 801 0.7- 1.0- 840819 026 0.8- 1.5- 840927 809 1.0+ 0.6+ 910913 801 1.5- 1.0+ 840819 026 (0.2+ 2.7+) 840927 809 0.5+ 0.4+ 910913 801 1.9- 1.5- 840820 046 (2.5- 0.5-) 840929 095 (0.3+ 5.0+) 1998/ 840820 046 0.0 1.0- 840929 095 (0.1- 10.1+) 980302 867 0.5- 0.7+ 840821 675 0.1- 0.2- 840930 056 (3.2- 3.5+) 980302 867 1.8- 2.1+ 840821 056 (4.8+ 3.1+) 841016 801 0.9- 1.3+ 980302 867 0.0 1.4+ 840821 046 0.7- 0.8- 841018 801 0.9+ 0.7+ 980516 118 0.4+ 0.4- 840821 046 0.8+ 0.7- 841022 568 0.7- 2.0- 980516 118 0.3+ 0.7- 840821 056 (0.6- 3.0+) 841022 568 0.3+ 1.8- 980519 867 1.1+ 0.6- 840822 688 0.8+ 1.2+ 841024 474 1.2- 0.0 980519 867 0.2- 1.1- 840822 688 (0.4- 3.0-) 841024 474 0.2+ 0.2- 980519 867 0.7+ 1.8- 840822 046 0.0 0.7- 841025 474 0.2- 0.1+ 980525 118 (3.0+ 1.0-) 840822 046 0.9+ 0.4- 841025 474 0.0 0.8+ 980525 118 2.0+ 1.0- 840822 056 0.4+ 1.3+ 841125 474 1.0+ 1.6- 980619 696 0.5- 0.2+ 840822 984 1.2+ 2.2+ 841125 474 (7.5- 6.2-) 980619 696 0.2- 0.4+ 840823 474 0.4- 0.1+ 1991/ 980619 696 0.2- 0.1- 840823 474 0.6- 0.4- 910212 372 (2.8- 2.2+) 840823 323 0.8+ 0.4+ 910217 691 0.6- 1.4+ ( ) -------- Rejected Obs.
Director, Computing Section Syuichi Nakano 2003 Apr. 14