OAA computing section circular NK 698 46P/Wirtanen

The following improved orbital elements, by S. Nakano, are from 238 observations 1985-1997, 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 +/- 0.67 arc second. Epoch = 1997 Mar. 13.0 TT T = 1997 Mar. 14.14996 +/- 0.00007 (m.e.) TT Peri. = 356.34158 +/- 0.00013 Node = 82.20565 +/- 0.00010 (2000.0) Inc. = 11.72253 +/- 0.00001 q = 1.0637602 +/- 0.0000006 AU e = 0.6567446 +/- 0.0000002 a = 3.0990344 +/- 0.0000009 AU n' = 0.18066103 +/- 0.00000007 P = 5.456 +/- 0.0000022 years A1 = +0.475 +/- 0.019 A2 = -0.16879 +/- 0.00038 T = 1986 Mar. 19.13780 TT Epoch = 1986 Mar. 31.0 TT Peri. = 356.06463 e = 0.6520140 Node = 82.33652 (2000.0) a = 3.1169020 AU Inc. = 11.67917 n'= 0.17910980 q = 1.0846384 AU P = 5.503 years T = 1991 Sept.20.62562 TT Epoch = 1991 Sept.21.0 TT Peri. = 356.16855 e = 0.6522448 Node = 82.29321 (2000.0) a = 3.1151280 AU Inc. = 11.68197 n'= 0.17926282 q = 1.0833018 AU P = 5.498 years The predicted orbit for the 2002 return is as follows: T = 2002 Aug. 26.70138 TT Epoch = 2002 Sept. 3.0 TT Peri. = 356.39701 e = 0.6578323 Node = 82.17444 (2000.0) a = 3.0942633 AU Inc. = 11.73814 n'= 0.18107904 q = 1.0587571 AU P = 5.443 years The following residuals in seconds of arc are from the above orbital elements: 1985/ 960822 809 0.1+ 0.0 970212 950 1.0- 1.2- 851113 474 1.0- 1.3- 960822 809 0.2- 0.1+ 970213 711 0.5+ 0.5- 851113 474 1.1+ 0.4+ 960823 809 0.4+ 0.3+ 970213 711 0.9+ 0.3- 851209 474 0.0 0.4+ 960823 809 0.1+ 0.5+ 970214 950 0.5- 0.4- 851209 474 (4.4- 2.5+) 960910 809 0.3+ 0.2+ 970214 950 0.9- 0.2- 851210 474 (7.7- 1.0-) 960910 809 0.9+ 0.1- 970214 950 1.1- 0.9- 1986/ 960911 809 0.7+ 0.1+ 970214 950 0.7- 1.1- 860331 984 (7.5+ 11.3+) 960911 809 0.3+ 0.1+ 970223 897 0.7+ 0.6- 860401 984 (2.4+ 9.8+) 960912 809 0.9+ 0.4+ 970223 897 0.5+ 0.8- 1991/ 960912 809 0.8+ 0.0 970224 360 0.1- 0.8- 910708 372 (0.3+ 5.1+)Y 960913 809 (2.6- 0.2-) 970224 360 0.1- 0.6- 910708 372 (3.0- 0.2+)Y 960913 809 1.0+ 0.3- 970302 057 (1.5+ 2.5+) 910708 372 1.6- 0.0 Y 960914 809 (2.4- 0.3-) 970305 897 0.1+ 0.8- 910708 372 (4.8- 3.6-)Y 960914 809 0.7+ 0.4+ 970305 897 0.8+ 0.8- 910709 372 (4.3- 2.9-) 960915 809 (2.3- 0.0 ) 970307 360 0.5- 0.0 910709 372 0.8- 1.2- 960915 809 0.5+ 0.3+ 970307 360 0.2- 0.0 910816 657 0.3+ 0.9- 960916 809 0.6- 0.1+ 970307 605 (2.0+ 1.2+) 910816 657 0.0 1.0+ 960916 809 0.8+ 0.1- 970307 605 (2.4+ 0.0 ) 910905 657 0.7+ 1.3+ 960917 809 1.0+ 0.1+ 970309 046 0.1+ 0.3- 910905 657 0.7+ 1.1+ 960919 696 0.9+ 0.0 970309 046 0.9- 0.5- 911005 056 (0.8- 2.7+) 960919 696 1.1+ 0.0 970309 046 0.0 0.5- 911005 056 0.8- 0.3+ 960919 696 0.9+ 0.1- 970317 711 0.9+ 0.5- 911008 056 1.0- 1.2- 960919 711 (3.6- 1.0-) 970317 711 1.0+ 0.4- 911017 056 0.3+ 1.3- 960919 711 (2.8- 0.7-) 970317 711 1.1+ 0.3- 911017 056 1.7+ 0.1- 960920 711 (3.0- 0.3-) 970317 711 1.1+ 0.6- 911109 900 (7.9+ 4.4+) 960920 711 (2.6- 0.5-) 970322 605 (3.3+ 0.5+) 911109 900 (6.4- 0.6+) 960921 711 (3.1- 0.3-) 970322 605 (3.0+ 0.3-) 911110 411 (5.1+ 2.1+) 960921 711 (3.2- 0.1-) 970322 605 1.5+ 0.2+ 911110 411 0.8- 0.3+ 960922 711 (4.0- 0.2+) 970423 897 0.5- 0.5- 911206 411 2.1+ 1.6+ 960922 711 (2.8- 0.0 ) 970423 897 1.0+ 0.8- 1995/ 961002 809 0.4+ 0.2+ 970423 897 0.5+ 0.6- 950626 809 0.1- 1.4- 961002 809 0.3+ 0.1+ 970423 118 0.3+ 0.4- 1996/ 961003 809 0.6+ 0.0 970423 118 0.3- 0.5- 960320 809 0.8- 0.4- 961003 809 0.6+ 0.2+ 970423 118 0.0 0.4- 960425 809 0.7+ 0.2+ 961003 809 0.5+ 0.2+ 970424 118 0.6- 0.2- 960425 809 1.4+ 0.9+ Y 961004 809 0.6+ 0.2+ 970424 118 1.5- 0.2+ 960425 809 0.4+ 1.5- Y 961004 360 0.5+ 0.3+ 970424 118 0.1+ 0.2- 960425 809 0.5- 0.0 961004 360 0.1+ 0.2+ 970424 118 0.6- 0.3+ 960425 809 0.2- 0.0 961004 360 0.1+ 1.0+ 970426 861 0.2- 1.3- 960425 809 0.8- 0.2+ 961011 711 0.4+ 0.9+ 970427 861 0.8+ 0.5- 960511 809 0.0 0.0 961011 711 1.3+ 0.9+ 970427 861 1.2- 1.0+ 960511 809 0.5- 0.2- 961012 711 0.2+ 0.4+ 970429 950 (4.3+ 0.3+) 960511 809 0.2- 0.3- 961012 711 1.2+ 1.1+ 970429 950 (4.5+ 0.6+) 960511 809 0.5- 0.5- 961016 360 1.3+ 0.1- 970429 950 (4.3+ 0.5+) 960512 809 0.5- 0.1- 961016 360 0.2+ 0.3- 970429 950 (4.5+ 0.5+) 960512 809 0.2- 0.3- 961016 360 1.1+ 0.3- 970430 967 (5.8+ 0.4-) 960512 809 0.2- 0.2- 961101 809 0.9+ 0.2+ 970430 967 1.2- 0.0 960512 809 0.2- 0.2- 961102 809 0.6+ 0.2+ 970501 967 1.7+ 0.3- 960513 809 0.2+ 0.1- 961102 809 0.5+ 0.7+ 970501 967 0.6- 0.1+ 960513 809 0.1- 0.2- 961103 809 0.9+ 0.2+ 970501 967 (3.5+ 0.1+) 960513 809 0.0 0.3- 961104 809 0.4+ 0.1- 970501 967 0.3- 0.5- 960513 809 0.0 0.5- 961104 809 0.4+ 0.2- 970503 118 0.0 0.1- 960613 568 0.6- 0.6+ 961105 809 0.5+ 0.6- 970503 118 0.6+ 0.1- 960613 568 0.5- 0.9+ 961105 809 0.5+ 0.1- 970504 360 0.9- 0.2+ 960613 568 0.5- 0.6+ 961118 711 (2.4+ 0.7+) 970504 360 0.6- 0.2- 960613 568 0.3- 0.4+ 961118 711 (2.1+ 1.1+) 970504 118 0.3- 0.1+ 960614 568 0.8- 0.7+ 961203 360 (2.2+ 0.4+) 970504 118 0.0 0.2- 960614 568 0.4- 0.6+ 961203 360 (2.6+ 0.7+) 970509 950 (4.0+ 0.0 ) 960615 675 0.7- 0.0 961205 711 (3.4+ 1.4+) 970509 950 (4.0+ 0.0 ) 960615 675 0.6- 0.0 961205 711 (3.3+ 0.8+) 970509 950 (3.8+ 0.1-) 960615 675 0.7- 0.0 961206 809 0.9+ 0.3- 970509 950 (4.1+ 0.0 ) 960615 675 0.7- 0.0 961206 809 1.1- 1.0- 970509 950 (3.4+ 0.0 ) 960615 675 0.6- 0.2- 961206 897 (2.4+ 0.4-) 970509 950 (3.9+ 0.1-) 960616 675 0.7- 0.1+ 961206 897 (3.2+ 1.1-) 970509 950 (3.7+ 0.0 ) 960616 675 0.5- 0.0 961206 897 (2.2+ 1.8-) 970509 950 (3.7+ 0.2+) 960616 675 0.6- 0.0 961207 809 0.6+ 0.2- 970509 950 (3.7+ 0.1-) 960617 675 0.9- 0.0 961208 809 0.2+ 0.1- 970509 950 (3.5+ 0.0 ) 960617 675 0.8- 0.0 961208 809 1.2+ 0.2- 970509 950 (3.9+ 0.0 ) 960617 675 0.8- 0.2- 961209 809 0.5+ 0.2- 970509 950 (3.5+ 0.0 ) 960617 675 0.8- 0.2- 961210 809 0.9+ 0.1+ 970510 118 0.6+ 0.1+ 960618 809 0.3- 0.6- 961211 809 0.3+ 0.4- 970510 118 0.5+ 0.0 960618 809 0.2- 0.1+ 961227 867 1.6+ 0.8+ 970510 950 (4.1+ 0.1-) 960618 809 1.2- 0.3+ 961227 867 1.6+ 1.4+ 970510 950 (3.9+ 0.1-) 960619 809 0.2+ 0.9- 961228 360 0.7- 1.5+ 970510 950 (4.0+ 0.0 ) 960619 809 0.4+ 0.8- 961228 360 0.8- 1.2+ 970510 950 (3.7+ 0.1-) 960619 809 0.3- 0.8- 961230 897 (3.5+ 1.8+) 970510 950 (4.1+ 0.1-) 960709 809 0.1- 0.0 961230 897 (1.0+ 3.0+) 970511 950 (3.8+ 0.6-) 960709 809 0.1+ 0.2- 1997/ 970511 950 (4.3+ 0.5-) 960710 809 0.5- 0.5+ 970103 897 1.4+ 0.3+ 970511 950 (3.6+ 0.1-) 960710 809 0.6- 0.5+ 970103 897 1.5+ 1.1+ 970511 950 (4.4+ 0.0 ) 960711 809 0.1+ 0.1+ 970109 954 0.8+ 0.4+ 970511 950 (3.8+ 0.2-) 960711 809 0.5- 0.1- 970109 954 0.6+ 0.3+ 970512 950 (4.3+ 0.3-) 960712 809 0.1+ 0.1- 970109 954 1.0+ 0.6+ 970512 950 (3.7+ 0.0 ) 960712 809 0.0 0.1- 970110 954 0.4- 0.3+ 970512 950 (3.9+ 0.1+) 960810 421 (2.2- 1.6-) 970110 954 0.7+ 1.0+ 970512 950 (4.4+ 0.4+) 960810 360 0.4- 0.2- 970110 954 0.2- 0.8+ 970514 711 0.7- 0.0 960810 360 1.0- 0.4- 970110 954 1.8- 0.0 970514 711 0.7- 0.0 960810 421 1.8- 1.7- 970112 360 0.9+ 0.4+ 970514 118 0.8- 0.0 960810 360 1.0- 0.7+ 970112 360 0.6+ 0.3+ 970514 118 0.9- 0.1- 960810 421 1.0- 1.4+ 970114 627 1.0+ 0.3- 970517 118 0.1- 0.5- 960817 568 0.6- 0.1- 970114 627 1.0+ 0.5+ 970517 118 0.3+ 0.3+ 960817 568 0.7- 0.2- 970114 627 0.5+ 0.8+ 970517 118 0.0 0.3- 960817 568 0.8- 0.3- 970126 897 1.6+ 0.8+ 970518 897 1.3+ 0.7+ 960817 568 0.7- 0.3- 970126 897 0.9+ 0.3- 970518 897 0.7- 0.4- 960817 568 0.6- 0.4- 970126 897 0.5+ 0.4- 970519 118 0.3- 0.2+ 960817 568 0.7- 0.3- 970208 967 (3.9+ 4.1+) 970519 118 0.9+ 0.1- 960818 809 1.2+ 0.6+ 970209 897 0.1+ 0.1- 970519 118 0.1+ 0.3+ 960818 809 0.4- 0.1+ 970209 360 1.1- 0.2- 970525 360 0.5- 0.1- 960819 809 0.8- 0.4- 970209 360 1.1- 0.3- 970525 360 0.4- 0.1+ 960819 809 0.0 0.2+ 970211 711 0.4+ 0.0 970525 118 0.6+ 0.5+ 960819 360 0.3- 0.3- 970211 711 0.4+ 0.2- 970525 118 1.0+ 0.1+ 960819 360 1.1- 0.1- 970212 950 (2.0- 0.1+) 970528 897 1.6+ 1.0- 960819 360 0.2- 0.7- 970212 950 1.5- 0.1+ 970609 118 0.4+ 0.1- 960820 809 (2.2- 0.1+) 970212 950 0.0 0.1- 970609 118 1.1+ 0.6- 960820 809 0.1- 0.3+ 970212 950 0.5+ 0.1- 970627 118 (2.8+ 1.1-) 960821 809 0.5+ 0.8+ 970212 950 0.2+ 0.1- 970627 118 (1.4+ 6.1-) 960821 809 0.2+ 0.2+ 970212 950 0.3- 0.2- 971230 568 1.0- 0.8+ ( ) -------- Rejected Obs.

Director, Computing Section Syuichi Nakano 1999 Oct. 31

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