Nakano Note (Nakano wa Kangaeru noda) NK 3640 111P/Helin-Roman-Crockett
The following improved orbital elements, by T. Kobayashi, are from 123 observations 1989 to 2012, including planetary perturbations by Mercury to Neptune and three minor planets, Ceres, Pallas, Vesta, and non-gravitational effect of sublimating molecule = CO (or N2) using Yabushita's theory (MN 283, 347). The mean residual is +/- 0.77 arc second. See previous orbits in NK 586, NK 797 and NK 1271. Epoch = 2013 Jan. 28.0 TT T = 2013 Jan. 30.63551 +/- 0.00186 (m.e.) TT Peri. = 3.37909 +/- 0.00042 Node = 89.79378 +/- 0.00031 (2000.0) Inc. = 4.22882 +/- 0.00003 q = 3.7042944 +/- 0.0000014 AU e = 0.1096227 +/- 0.0000005 a = 4.1603648 +/- 0.0000027 AU n' = 0.11614672 +/- 0.00000012 P = 8.486 +/- 0.0000081 years Y1 = -0.012 +/- 0.000 Y2 = -0.01002 +/- 0.00000 T = 1988 Sept.13.30302 TT Epoch = 1988 Aug. 27.0 TT Peri. = 10.21510 e = 0.1414062 Node = 92.00775 (2000.0) a = 4.0421158 AU Inc. = 4.23397 n'= 0.12128049 q = 3.4705355 AU P = 8.127 years T = 1996 Oct. 31.78654 TT Epoch = 1996 Nov. 13.0 TT Peri. = 10.13285 e = 0.1387093 Node = 91.98925 (2000.0) a = 4.0516084 AU Inc. = 4.23110 n'= 0.12085452 q = 3.4896127 AU P = 8.155 years T = 2004 Dec. 27.14713 TT Epoch = 2004 Dec. 21.0 TT Peri. = 10.56518 e = 0.1402625 Node = 91.93766 (2000.0) a = 4.0400478 AU Inc. = 4.23300 n'= 0.12137363 q = 3.4733806 AU P = 8.120 years The predicted orbit for the 2021 return is as follows: T = 2021 June 15.60847 TT Epoch = 2021 July 5.0 TT Peri. = 0.99416 e = 0.1060194 Node = 89.76604 (2000.0) a = 4.1473479 AU Inc. = 4.22690 n'= 0.11669396 q = 3.7076485 AU P = 8.446 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 1989/ 890206 897 (2.3- 0.5-) 960922 691 0.8- 0.7- 890102 675 (4.7+ 1.3+) 890207 657 1.3- 0.6- 960922 691 0.0 0.3- 890103 675 (0.9- 2.1+) 890208 801 0.8+ 0.2+ 961117 691 0.1- 0.0 890103 675 0.0 0.7+ 890211 675 0.7+ 1.3+ 961117 691 0.8- 0.0 890104 010 1.1- 0.7+ 890211 675 0.5+ 0.5+ 961214 695 0.1+ 0.8+ 890106 801 0.7+ 0.6+ 890225 046 1.0+ 0.7- 961214 695 0.0 0.6+ 890107 675 0.8+ 1.7+ 890225 046 1.0+ 0.0 961214 695 0.1+ 0.7+ 890108 372 (4.9- 3.2-)Y 890301 675 0.5+ 0.6- 961214 402 0.4- 0.0 890109 400 1.0- 0.0 890303 801 1.1+ 0.9+ 961214 402 0.2+ 0.1+ 890109 400 1.0+ 0.9+ 890305 675 1.9+ 1.6- 961214 402 0.8- 0.4+ 890111 801 1.1+ 0.0 890305 046 1.3+ 0.6- 1997/ 890112 372 1.8- 0.6- 890305 046 (2.5+ 0.6-) 970111 360 0.3- 0.8+ 890112 372 0.8- 0.2- 890308 897 (2.1- 0.6-) 970111 360 0.2+ 0.5- 890113 400 0.4- 1.4+ 890310 801 0.9- 0.3- 970112 867 1.1+ 0.3- 890113 400 1.2- 0.7- 890310 373 1.6+ 1.0- 970112 867 0.0 0.8- 890114 293 0.1- 0.4+ 890310 373 0.2- 0.5- 970112 867 0.2- 0.7- 890115 674 0.5- 1.6+ 890329 373 (4.9+ 1.3+) 970116 691 0.6- 0.1- 890116 897 (2.3- 0.4+) 890329 373 (5.8+ 0.8-) 970116 691 0.8- 0.2- 890116 897 (2.3- 0.7+) 890403 801 1.5+ 1.3- 970116 402 0.4- 0.0 890125 046 1.5+ 0.1- 890405 675 1.5- 1.5- 970116 402 0.3- 0.1+ 890125 046 1.3+ 0.0 890407 675 1.1- 1.4- 970116 402 1.1- 1.1+ 890126 046 0.7- 0.9- 890408 675 0.3+ 1.2- 970201 360 0.6+ 0.4+ 890126 046 1.4- 0.2+ 890508 801 (3.8+ 1.3+) 970201 360 0.5- 0.4- 890127 887 0.3+ 1.8+ 1993/ 1998/ 890127 887 1.3- 0.1+ 930625 691 (2.7- 0.4-) 980225 954 0.4+ 0.2+ 890127 887 0.0 1.5- 930625 691 (4.3- 0.4-) 980225 954 0.4+ 0.1+ 890127 887 0.4+ 0.5- 930626 691 0.8+ 0.9- 980225 954 0.4+ 0.1+ 890127 046 (1.2- 2.2-) 930626 691 1.2+ 0.4+ 980225 954 0.4+ 0.1+ 890127 046 0.7- 1.2- 930626 691 0.2- 0.1+ 980225 954 0.4+ 0.1+ 890128 897 (2.6- 0.3+) 930626 691 0.6+ 0.4+ 980225 954 0.4+ 0.0 890128 405 (2.1- 1.0+) 930720 691 1.8- 0.0 980225 954 0.4+ 0.1+ 890128 405 (7.4- 0.4+) 930720 691 1.2- 0.0 980225 954 0.6+ 0.1+ 890128 405 (4.9- 0.0 ) 930720 691 0.9+ 0.5+ 980225 954 0.6+ 0.1+ 890128 897 1.4- 1.5- 1994/ 980225 954 0.6+ 0.1+ 890129 400 (2.2- 3.5+) 940906 691 1.6- 0.8+ 980225 954 0.6+ 0.1+ 890129 400 0.0 1.2+ 940906 691 1.0- 0.3+ 980225 954 0.6+ 0.1+ 890129 400 0.9+ 0.1+ 940906 691 0.9- 0.2- 980228 691 0.5- 0.6+ 890129 405 (0.7- 2.9-) 1995/ 980228 691 0.3- 1.1+ 890129 405 1.5+ 0.6+ 950902 691 0.2+ 0.5+ 980228 691 0.2- 0.6+ 890130 400 0.4- 0.9+ 950902 691 0.1+ 0.7+ 2001/ 890130 400 0.7- 0.0 950902 691 0.8+ 0.2+ 010727 809 0.5+ 0.2- 890131 046 (3.9+ 2.1-) 950902 691 0.4+ 0.4+ 010727 809 0.4+ 0.2- 890201 405 (0.9- 2.2-) 951021 691 0.5+ 0.2- 010727 809 0.6+ 0.1- 890201 405 0.9+ 0.5- 951021 691 0.1+ 0.2- 010727 809 0.4+ 0.4- 890201 046 (4.4- 3.4+) 951028 693 0.7+ 0.7+ 010727 809 0.5+ 0.0 890201 046 (4.8- 5.4+) 951028 693 0.5+ 0.1+ 010919 809 1.2- 0.4- 890203 400 (3.3+ 3.0+) 951028 693 0.6+ 0.5+ 010920 809 1.5- 0.0 890203 400 (3.8+ 2.9+) 951116 360 0.7+ 1.3+ 010920 809 (2.5- 0.1+) 890204 801 0.6- 0.8- 951116 360 0.5+ 0.1- 010920 809 0.8- 0.6- 890206 657 (0.5+ 2.4-) 951116 360 0.2- 0.7+ 2012/ 890206 657 (3.8+ 1.4+) 1996/ 121221 291 0.3+ 1.5- 890206 675 1.2- 1.9+ 960919 696 0.1- 0.4- 121221 291 0.0 0.7- 890206 675 0.7- 0.1+ 960919 696 0.8- 0.3- 121221 291 0.1- 0.7+ 890206 897 1.2- 1.1- 960919 696 0.1+ 0.8- ( ) -------- Rejected Obs.
Associate of the CBAT Syuichi Nakano 2018 Aug. 3