OAA computing section circular NK 856 60P/Tsuchinshan 2

The following improved orbital elements, by S. Nakano, are from 116 observations 1971 to 1999, 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. See an orbit in NK 631. Epoch = 1999 Mar. 3.0 TT T = 1999 Mar. 8.18057 +/- 0.00106 (m.e.) TT Peri. = 203.18369 +/- 0.00056 Node = 288.20012 +/- 0.00014 (2000.0) Inc. = 6.71656 +/- 0.00003 q = 1.7703895 +/- 0.0000021 AU e = 0.5063504 +/- 0.0000009 a = 3.5863282 +/- 0.0000022 AU n' = 0.14512058 +/- 0.00000013 P = 6.792 +/- 0.0000061 years A1 = +0.415 +/- 0.061 A2 = -0.00233 +/- 0.00029 T = 1971 Nov. 29.92899 TT Epoch = 1971 Nov. 25.0 TT Peri. = 203.11825 e = 0.5055209 Node = 288.38116 (2000.0) a = 3.5898132 AU Inc. = 6.72848 n'= 0.14490932 q = 1.7750877 AU P = 6.802 years T = 1978 Sept.20.99429 TT Epoch = 1978 Sept. 9.0 TT Peri. = 203.13181 e = 0.5041373 Node = 288.38830 (2000.0) a = 3.5989689 AU Inc. = 6.71758 n'= 0.14435669 q = 1.7845945 AU P = 6.828 years T = 1985 July 21.17126 TT Epoch = 1985 Aug. 3.0 TT Peri. = 203.10286 e = 0.5023843 Node = 288.35493 (2000.0) a = 3.6054934 AU Inc. = 6.70567 n'= 0.14396503 q = 1.7941501 AU P = 6.846 years T = 1992 May 20.07205 TT Epoch = 1992 May 18.0 TT Peri. = 203.09957 e = 0.5043931 Node = 288.34293 (2000.0) a = 3.5959504 AU Inc. = 6.71774 n'= 0.14453850 q = 1.7821777 AU P = 6.819 years The predicted orbit for the 2005 return is as follows: T = 2005 Dec. 24.05540 TT Epoch = 2005 Dec. 16.0 TT Peri. = 203.34902 e = 0.5071131 Node = 288.12466 (2000.0) a = 3.5837619 AU Inc. = 6.71843 n'= 0.14527649 q = 1.7663893 AU P = 6.784 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 1971/ 981115 360 0.8- 1.0- 990122 355 0.1- 0.6+ 710919 693 0.0 0.3- 981115 360 0.9- 0.4- 990124 627 1.9+ 0.0 710922 691 1.6- 1.5+ 981122 561 0.0 0.4- 990124 627 0.0 0.6+ 710922 691 0.8- 1.1+ 981122 561 0.6+ 0.8- 990124 627 0.2+ 1.1+ 711015 691 2.3+ 1.2+ 981122 561 0.2- 1.4+ 990205 897 0.5+ 0.1- 711015 691 2.1+ 1.1+ 981123 360 1.2- 0.4- 990212 693 0.0 0.9- 711122 693 1.1+ 0.2+ 981123 360 1.4- 0.3+ 990212 693 0.1- 0.8- 711122 693 1.4+ 0.4+ 981123 360 1.8- 0.4+ 990212 693 0.0 0.7- 711216 693 1.5+ 0.2+ 981125 561 0.4- 0.2+ 990214 360 0.2- 0.9- 711216 693 1.8+ 0.2- 981125 561 0.4- 0.3+ 990214 360 0.1+ 0.6- 711228 370 0.2- 2.0+ Y 981125 561 0.0 0.1+ 990303 402 0.5- 0.9- 1972/ 981216 360 0.2- 0.4- 990303 402 0.2+ 0.7- 720113 370 (4.7- 3.3+) 981216 360 0.2+ 0.3- 990303 402 0.6- 0.3- 720113 370 (0.6- 4.4+) 981218 561 0.3- 0.2- 990303 118 0.8+ 0.6- 720115 380 1.7- 1.6+ Y 981218 561 0.2- 0.1+ 990303 118 0.2+ 0.4- 720115 380 (1.5+ 4.6+)Y 981221 360 0.4- 0.2+ 990303 118 0.5+ 0.4- 720117 370 (4.0- 4.2+)Y 981221 360 0.2- 0.1- 990308 118 0.2+ 0.3- 720122 806 0.7- 0.1+ 981222 504 1.5- 0.4- 990308 118 1.0+ 0.2- 720122 370 (7.0- 4.1+)Y 981222 504 1.0- 0.3- 990310 704 1.7+ 0.2- 720126 806 (3.4- 1.0+) 981222 504 1.2- 0.1+ 990310 704 (2.5+ 0.2+) 720310 691 0.0 0.5- 981222 504 0.5- 0.3+ 990310 704 (2.5+ 0.2-) 720310 691 0.4+ 0.5- 981226 897 0.6- 1.0+ 990310 704 0.3+ 0.6- 720409 805 (0.9- 3.5+) 981226 897 0.2- 0.5- 990316 360 0.2- 0.4- 720417 691 1.3+ 0.1+ 981226 897 0.8- 0.3+ 990316 360 0.3+ 0.6- 720417 691 1.6+ 0.1+ 981227 504 1.1- 0.0 990406 402 0.2- 0.1- 720419 805 0.8- 2.1+ 981227 504 0.3- 0.2+ 990406 402 0.2+ 0.9- 720518 691 0.4+ 0.4+ 981227 504 0.2- 0.0 990406 402 1.6+ 0.9- 1978/ 1999/ 990407 704 (4.4+ 0.4+) 781029 372 (9.7- 2.9-)Y 990116 704 0.1- 0.6+ 990407 704 1.7+ 0.6- 781029 372 (8.6- 2.0+)Y 990116 704 (0.2+ 2.2+) 990407 704 (3.4+ 3.7-) 781201 801 1.2- 1.0+ 990116 704 0.3- 0.9+ 990407 704 1.1+ 1.9- 1985/ 990116 704 1.5- 0.4+ 990407 704 (2.4+ 0.6-) 850410 675 2.1- 0.4- 990116 704 (4.8- 0.4-) 990407 360 0.6+ 0.6- 850410 675 0.9- 0.0 990117 402 0.9- 0.9+ 990407 360 0.5+ 0.2- 850508 675 2.3- 0.5- 990117 402 0.0 0.1+ 990412 693 0.6- 1.0- 850508 675 1.2- 0.2- 990117 402 0.1- 0.8+ 990412 693 0.2+ 0.9- 1991/ 990118 118 0.4- 0.1- 990412 693 0.2- 0.8- 911203 691 0.7+ 0.7+ 990118 118 0.8+ 0.0 990415 118 (2.5+ 0.1-) 911203 691 1.2+ 0.5+ 990119 704 (2.5- 2.0+) 990415 118 0.8+ 0.4- 911203 691 0.5- 0.2- 990119 704 0.1+ 0.5+ 990415 118 (2.2+ 1.0-) 911213 691 1.1+ 0.5+ 990119 704 1.8+ 1.9- 990428 118 (2.3+ 0.1-) 911213 691 1.7+ 0.5+ 990119 704 (0.2+ 3.1+) 990428 118 1.3+ 0.4- 911213 691 0.1- 0.2+ 990120 504 0.1- 0.6- 990428 118 (2.5+ 1.0-) 1992/ 990120 504 0.2- 0.1- 990508 704 (1.8+ 2.2-) 920128 691 1.6+ 0.2+ 990120 504 0.3- 0.0 990508 704 (3.6+ 1.1-) 920129 691 2.2+ 0.7+ 990120 504 0.1+ 0.3+ 990508 704 (3.9+ 2.2-) 920129 691 1.7+ 0.5+ 990121 360 0.3- 0.5+ 990508 704 (3.2+ 0.5+) 920129 691 1.1+ 0.1- 990121 360 0.1- 0.6+ 990508 704 0.6+ 1.3+ 1998/ 990122 355 0.3+ 0.8+ 990515 693 0.1+ 0.9- 981115 360 0.0 0.1+ 990122 355 1.0+ 0.4+ 990515 693 0.3- 1.0- ( ) -------- Rejected Obs.

Director, Computing Section Syuichi Nakano 2002 May 8

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