Nakano Note (Nakano wa Kangaeru noda) NK 1922 98P/Takamizawa
The following improved orbital elements, by S. Nakano, are from 217 observations 1984 to 2006, 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 +/- 0.98 arc second. See the previous orbits in NK 506, NK 628 and NK 931 (= HICQ 2006). Epoch = 2006 Mar. 6.0 TT T = 2006 Mar. 6.46832 +/- 0.00041 (m.e.) TT Peri. = 157.88238 +/- 0.00021 Node = 114.76491 +/- 0.00012 (2000.0) Inc. = 10.55703 +/- 0.00002 q = 1.6627836 +/- 0.0000017 AU e = 0.5621145 +/- 0.0000005 a = 3.7973020 +/- 0.0000015 AU n' = 0.13319606 +/- 0.00000008 P = 7.400 +/- 0.0000044 years A1 = +0.482 +/- 0.020 A2 = +0.02987 +/- 0.00034 T = 1984 May 24.95990 TT Epoch = 1984 May 20.0 TT Peri. = 147.57463 e = 0.5739315 Node = 124.89714 (2000.0) a = 3.7426030 AU Inc. = 9.46559 n'= 0.13612673 q = 1.5946054 AU P = 7.240 years T = 1991 Aug. 17.91401 TT Epoch = 1991 Aug. 12.0 TT Peri. = 147.67764 e = 0.5745878 Node = 124.91945 (2000.0) a = 3.7370345 AU Inc. = 9.47947 n'= 0.13643111 q = 1.5897800 AU P = 7.224 years T = 1998 Nov. 7.99881 TT Epoch = 1998 Nov. 3.0 TT Peri. = 147.80299 e = 0.5751713 Node = 124.84622 (2000.0) a = 3.7314160 AU Inc. = 9.48974 n'= 0.13673937 q = 1.5852125 AU P = 7.208 years The predicted orbit for the 2013 return is as follows: T = 2013 Aug. 5.36041 TT Epoch = 2013 Aug. 16.0 TT Peri. = 157.89149 e = 0.5606657 Node = 114.74044 (2000.0) a = 3.8093379 AU Inc. = 10.54404 n'= 0.13256529 q = 1.6735727 AU P = 7.435 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 1984/ 840913 809 (2.7+ 0.3+) 910913 801 (2.7- 1.4-) 840706 026 0.0 2.1+ 840913 809 (3.1+ 0.0 ) 1998/ 840708 026 1.9+ 0.8- 840918 809 1.0- 0.2+ 980302 867 0.6- 1.3+ 840726 372 (3.6- 3.7+) 840918 809 1.2- 0.0 980302 867 (1.9- 2.7+) 840726 372 (6.3- 4.4+)Y 840918 809 1.1- 0.2- 980302 867 0.1- 1.9+ 840731 387 (1.4- 2.9-) 840919 071 (3.1+ 2.4+) 980516 118 0.7+ 0.1+ 840801 675(10.0- 1.0+) 840919 071 (0.4- 2.6+) 980516 118 0.6+ 0.2- 840801 381 0.6+ 0.2+ 840920 474 0.2- 1.3+ 980519 867 1.5+ 0.1- 840802 010 1.1- 1.0+ 840920 809 0.7+ 0.3+ 980519 867 0.2+ 0.6- 840802 010 (2.0- 3.1-) 840920 809 0.6+ 0.3+ 980519 867 1.0+ 1.3- 840802 010 (3.0+ 2.3+) 840921 809 0.5+ 0.2+ 980525 118 (3.5+ 0.6-) 840802 657 1.2+ 0.7- 840921 809 1.3+ 0.7+ 980525 118 (2.5+ 0.6-) 840802 415 0.9- 0.8- 840921 809 1.3+ 0.8+ 980619 696 0.7+ 0.2+ 840802 415 0.6- 0.4- 840922 809 1.1+ 0.7+ 980619 696 1.0+ 0.4+ 840802 323 0.3- 0.1- 840922 809 1.3+ 0.9+ 980619 696 1.0+ 0.2- 840802 323 0.7- 0.1- 840922 809 1.5+ 0.9+ 2006/ 840802 372 (1.3- 3.6+) 840922 809 1.7+ 0.9+ 060324 G96 1.4- 0.5+ 840802 323 0.3- 0.5- 840924 095 0.2+ 1.5+ 060324 G96 (2.7- 0.4+) 840802 372 (1.4- 4.7+) 840924 095 1.0- 1.6+ 060324 G96 (3.0- 0.6+) 840802 046 0.1- 1.0- 840925 095 (4.2+ 2.5+) 060324 G96 (2.6- 0.4+) 840802 046 0.5- 1.4- 840925 095 0.0 1.2- 060325 G96 1.7- 1.1+ 840803 046 0.1+ 1.8- 840926 095 (5.3- 1.1+) 060325 G96 1.4- 1.2+ 840803 046 0.9- 1.5- 840926 095 (1.6+ 5.1+) 060325 G96 1.3- 0.5+ 840803 688 1.0+ 1.4- 840927 809 0.8+ 0.6+ 060325 G96 1.7- 0.9+ 840803 688 0.8+ 1.1- 840927 809 0.8+ 0.4+ 060402 349 (6.8- 1.2+) 840803 657 1.4- 1.0- 840927 809 0.3+ 0.2+ 060402 349 (6.2- 1.6+) 840803 415 0.9+ 0.3- 840929 095 (0.0 4.8+) 060402 349 (6.8- 1.8+) 840803 323 0.2- 0.9- 840929 095 (0.4- 9.9+) 060403 349 (6.2- 0.6-) 840803 056 0.4+ 1.0- 840930 056 (3.5- 3.3+) 060403 349 (6.3- 1.0+) 840803 056 0.5- 0.2- 841016 801 1.2- 1.1+ 060420 E12 1.5- 1.1+ 840803 046 0.3- 1.2- 841018 801 0.5+ 0.5+ 060420 E12 2.0- 0.4- 840803 046 0.1+ 1.6- 841022 568 1.0- 2.2- 060420 E12 (2.6- 0.0 ) 840804 046 1.7- 1.6- 841022 568 0.0 2.0- 060420 E12 (3.2- 1.0+) 840804 046 0.5- 1.2- 841024 474 1.6- 0.2- 060505 415 0.0 1.2+ 840804 387 (3.6- 1.9-) 841024 474 0.1- 0.3- 060505 415 0.1+ 0.5+ 840804 387 1.2- 1.1- 841025 474 0.6- 0.1- 060507 467 0.0 0.4+ 840804 056 0.6- 0.2- 841025 474 0.3- 0.7+ 060507 467 0.0 0.5+ 840804 056 0.8- 1.0+ 841125 474 0.6+ 1.7- 060507 467 0.5+ 0.7+ 840805 993 (3.3- 1.4-) 841125 474 (7.9- 6.3-) 060607 I77 0.5- 1.8+ 840806 985 (3.6- 3.6-) 1991/ 060607 I77 0.7- 1.0+ 840806 372 0.3+ 1.6+ 910212 372 (2.8- 2.2+) 060607 I77 1.0- 0.2+ 840806 372 1.7+ 1.0+ 910217 691 0.5- 1.5+ 060608 I77 0.2- 0.1+ 840806 051 0.9- 0.8- 910217 691 0.6- 0.3+ 060608 I77 0.1+ 1.4+ 840806 051 0.8- 0.9- 910217 691 0.1- 1.1+ 060608 I77 0.5- 0.4+ 840808 372 0.1- 0.4- 910219 691 0.3+ 0.6+ 060608 I77 2.0+ 1.4+ 840815 415 1.5- 0.8- 910219 691 0.5+ 0.1- 060627 204 0.8+ 0.5+ 840817 046 1.0+ 0.6- 910219 691 0.1+ 0.1+ 060627 204 0.9+ 0.7+ 840817 046 2.2+ 1.9- 910222 372 1.1+ 0.2+ 060630 204 0.9+ 0.4+ 840817 026 0.5+ 1.9- 910317 801 1.4- 1.2+ 060630 204 0.2- 0.9+ 840819 026 0.3+ 2.4+ 910317 801 0.8- 1.3+ 060708 213 0.3+ 0.5+ 840819 026 0.7- 1.8- 910320 801 1.3- 0.8+ 060708 213 0.4+ 0.6+ 840820 046 2.4- 0.8- 910320 801 1.4- 1.3+ 060708 213 0.4+ 0.7+ 840820 046 0.0 1.3- 910408 675 0.3+ 0.6- 060720 704 0.3+ 1.4+ 840821 675 0.0 0.5- 910408 675 2.2+ 0.4- 060720 704 1.5+ 1.4+ 840821 056 (4.9+ 2.8+) 910411 657 0.5+ 1.2+ 060720 704 0.5+ 1.2+ 840821 046 0.6- 1.1- 910411 657 0.6+ 0.6+ 060721 170 0.6+ 0.9+ 840821 046 0.8+ 1.0- 910411 675 0.7+ 1.5- 060721 170 0.5+ 0.7+ 840821 056 (0.5- 2.7+) 910411 675 0.8- 1.4+ 060721 170 1.0+ 0.4+ 840822 688 0.8+ 0.9+ 910412 801 0.8- 0.2+ 060721 585 0.5+ 0.3- 840822 688 (0.4- 3.3-) 910412 801 2.2- 0.6+ 060722 585 (3.2+ 1.4+) 840822 046 0.1+ 1.0- 910412 657 2.2- 0.9- 060722 585 1.2+ 0.5- 840822 046 0.9+ 0.7- 910413 801 1.0- 0.3+ 060722 585 1.0+ 1.2+ 840822 056 0.5+ 1.0+ 910413 675 0.2- 1.0- 060722 585 (2.7+ 1.5+) 840822 984 1.2+ 1.9+ 910414 801 0.4- 0.4+ 060726 215 1.7+ 0.2+ 840823 474 0.3- 0.2- 910414 801 0.2- 0.2+ 060726 215 0.4+ 0.1+ 840823 474 0.6- 0.7- 910422 691 0.2+ 0.0 060726 215 0.3+ 0.0 840823 323 0.8+ 0.1+ 910422 691 0.4+ 0.3+ 060728 130 0.6+ 0.6+ 840823 046 0.5+ 1.0- 910422 691 0.2+ 0.5+ 060728 130 1.7+ 1.6+ 840823 046 1.3+ 0.8- 910502 657 0.2- 0.4+ 060731 E12 (2.2- 0.9+) 840824 801 1.4- 0.1+ 910502 657 0.2+ 0.0 060731 E12 1.6- 0.5+ 840824 372 1.4+ 0.6+ 910511 801 0.0 0.1+ 060731 E12 (2.4- 0.5+) 840824 323 1.3+ 0.1- 910511 801 0.7+ 0.2- 060731 E12 1.1- 0.5+ 840825 474 0.3- 0.3- 910512 801 0.1+ 0.0 060805 349 1.1- 0.0 840825 474 0.7- 0.2+ 910512 801 0.1+ 0.1- 060805 349 1.2- 0.7+ 840826 811 (1.0- 2.5+) 910514 494 1.4+ 1.7+ 060807 213 (0.5+ 2.3+) 840826 801 0.0 0.9- 910517 801 0.7+ 1.1- 060807 213 0.8- 1.8+ 840827 801 0.5- 0.1+ 910517 801 0.6+ 0.7- 060807 349 0.8- 0.5+ 840827 707 0.3- 0.5- 910611 801 2.0+ 0.7- 060807 349 0.6- 0.6+ 840827 323 0.1+ 0.6+ 910611 801 2.0+ 0.7- 060828 A02 1.9- 1.1+ 840828 801 0.9- 0.3- 910614 801 1.8+ 1.0- 060828 A02 1.3- 0.7+ 840828 323 0.6+ 0.5+ 910614 801 1.4+ 1.1- 060828 A02 1.0- 0.4+ 840828 056 0.3- 0.8+ 910710 801 (0.6+ 2.6-) 060902 349 1.0- 1.2+ 840828 056 (2.7+ 2.0+) 910710 801 0.1+ 0.8- 060902 349 0.1+ 1.4+ 840828 051 0.7- 0.9- 910712 801 0.2+ 1.2- 060914 415 0.4- 0.3+ 840828 051 0.0 0.7- 910712 801 0.1+ 1.5- 060920 703 0.7+ 1.6+ 840829 323 0.9- 2.0+ 910806 801 (1.1- 2.7-) 060920 703 (2.2- 3.2+) 840829 056 1.0+ 2.2+ 910806 801 1.9- 0.8- 060920 703 1.4- 0.9+ 840901 026 0.8+ 1.5+ 910812 801 0.8+ 0.2+ 060920 703 (0.2- 2.4+) 840902 046 (3.4- 1.1-) 910812 801 0.1- 0.1+ 060925 415 0.2- 0.0 840903 688 (7.8- 1.7+) 910912 801 2.0- 0.7- 060925 415 1.7- 1.4+ 840903 688 0.8+ 1.7+ 910912 801 1.6- 0.8- 840913 809 2.0+ 0.4+ 910913 801 2.4- 1.2+ ( ) -------- Rejected Obs.
Associate of Central Bureau for Astronomical Telegrams Syuichi Nakano 2010 Apr. 25