OAA computing section circular NK 697 57P/du Toit-Neujmin-Delporte

The following improved orbital elements, by S. Nakano, are from 111 observations 1983-1997, 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 +/- 0.94 arc second. Epoch = 1996 Mar. 18.0 TT T = 1996 Mar. 5.70804 +/- 0.00146 (m.e.) TT Peri. = 115.21395 +/- 0.00061 Node = 188.98648 +/- 0.00047 (2000.0) Inc. = 2.84567 +/- 0.00005 q = 1.7196894 +/- 0.0000019 AU e = 0.5007743 +/- 0.0000007 a = 3.4447135 +/- 0.0000017 AU n' = 0.15416096 +/- 0.00000012 P = 6.393 +/- 0.0000048 years A1 = +0.276 +/- 0.058 A2 = +0.02383 +/- 0.00178 T = 1983 June 1.32539 TT Epoch = 1983 May 26.0 TT Peri. = 115.16706 e = 0.5028539 Node = 189.14633 (2000.0) a = 3.4359816 AU Inc. = 2.84649 n'= 0.15474899 q = 1.7081848 AU P = 6.369 years T = 1989 Oct. 18.46595 TT Epoch = 1989 Oct. 1.0 TT Peri. = 115.31220 e = 0.5016795 Node = 189.05137 (2000.0) a = 3.4423326 AU Inc. = 2.84648 n'= 0.15432093 q = 1.7153849 AU P = 6.387 years The predicted orbit for the 2002 return is as follows: T = 2002 July 31.19245 TT Epoch = 2002 July 25.0 TT Peri. = 115.24563 e = 0.4991112 Node = 188.92864 (2000.0) a = 3.4528819 AU Inc. = 2.84442 n'= 0.15361424 q = 1.7295100 AU P = 6.416 years The following residuals in seconds of arc are from the above orbital elements: 1983/ 960810 118 0.8+ 0.9- 960917 118 0.2+ 0.9- 830520 675 1.3+ 0.1+ 960811 118 0.3+ 1.2- 960919 696 0.4+ 0.1- 830521 675 1.9+ 1.3- 960811 118 1.1+ 0.5- 960919 696 0.6+ 0.1+ 830609 707 1.6- 0.4+ 960813 107 1.6- 2.1- 960919 696 0.7+ 0.0 830710 707 2.0- 0.3- 960813 107 0.1+ 1.1- 960921 691 0.5+ 0.2- 830903 095 0.7- 1.1+ 960815 897 (6.3- 3.3-) 960921 691 0.3+ 0.6- 830904 801 1.1- 2.0+ 960815 367 (2.4- 1.3-) 960922 897 2.2- 1.3- 830904 688 0.5- 0.0 960815 367 (3.1- 1.7-) 960922 897 0.7- 1.4- 830904 688 (5.4- 2.4+) 960815 900 (2.8- 1.5-) 960922 897 1.7- 0.9- 830913 707 1.5+ 0.5+ 960816 472 (3.7- 1.5-) 961001 118 1.0+ 0.6+ 830914 688 1.3+ 0.9+ 960817 472 (3.1- 0.9-) 961003 118 0.5- 0.6- 830914 688 1.3- 0.1- 960817 472 (3.5- 1.1-) 961003 118 0.0 0.0 831008 801 (2.6- 4.2+) 960817 900 (2.7- 1.6-) 961003 118 0.4- 0.4- 1989/ 960817 900 (5.1- 1.8-) 961003 118 0.3- 0.6- 890522 675 0.1+ 1.3- 960818 472 (5.3- 1.5-) 961005 900 2.0- 0.3- 890522 675 0.6- 1.1- 960818 388 1.3+ 0.5- 961005 900 1.9- 0.7- 890522 675 0.3+ 1.5- 960818 388 1.5+ 0.1+ 961010 360 0.7+ 0.4- 890523 675 0.0 1.6- 960818 388 0.4+ 0.2- 961010 360 1.0+ 0.3- 890523 675 0.5- 1.2- 960818 388 1.1+ 0.4- 961010 360 0.6+ 0.2- 890523 675 0.0 1.0- 960818 388 0.9+ 0.4- 961020 897 0.8- 0.2- 890526 372 1.2- 1.0- Y 960818 388 0.5+ 0.3- 961020 897 0.8- 0.2+ 1995/ 960820 118 0.3+ 0.1+ 961020 897 0.5+ 0.7- 950523 691 0.9- 2.2- 960820 118 0.0 0.0 961103 900 0.3+ 0.1+ 950523 691 0.9- 2.1- 960821 118 1.5- 0.9+ 961103 900 0.5- 0.5+ 950523 691 0.0 2.1- 960821 118 0.0 1.4+ 961106 360 0.6+ 0.3+ 950523 691 0.6- 1.4- 960821 557 0.2+ 0.2+ 961106 360 0.5+ 0.1- 950523 691 0.8- 2.2- 960821 557 0.1+ 0.1+ 961115 696 0.7+ 0.3- 950525 691 1.2- 1.4- 960822 118 0.9+ 0.2- 961115 696 0.8+ 0.1+ 950525 691 1.0- 1.3- 960823 118 0.4+ 0.2+ 961116 897 (2.0- 3.0-) 950525 691 0.9- 2.1- 960824 118 0.7- 0.5- 961116 897 1.9+ 1.1- 950525 691 (2.7+ 3.7-) 960824 360 0.6+ 0.2- 961116 897 0.1+ 1.2- 1996/ 960824 360 0.7+ 0.1- 961116 360 0.8+ 0.4- 960724 360 1.1+ 0.2- 960825 118 0.3- 0.5- 961116 360 1.0+ 0.5- 960724 360 0.9+ 0.2- 960825 118 0.2- 0.6- 961119 900 0.5- 0.7- 960726 360 0.3- 1.0- 960825 118 0.4- 0.8- 961119 900 0.4- 0.4- 960726 360 0.1+ 0.7- 960903 388 0.1- 0.5- 961201 108 (3.5+ 1.5+) 960727 900 1.5- 1.4- 960903 388 0.6+ 0.2- 961201 108 (4.9+ 1.2+) 960801 900 (3.0- 0.8-) 960903 388 0.2- 0.3- 961201 108 2.0+ 0.5- 960801 900 (2.9- 1.1-) 960903 388 0.1+ 0.1- 961203 360 (2.7+ 0.0 ) 960804 605 (4.8- 3.7-) 960903 388 2.0- 0.5- 961203 360 (2.6+ 0.2+) 960804 605 (3.6- 1.8-) 960905 388 0.4- 0.0 1997/ 960804 605 (2.9- 0.9-) 960907 367 0.8- 0.3- 970109 360 1.4+ 1.0+ 960806 605 0.9+ 1.6+ 960910 360 0.8+ 0.1+ 970112 360 0.1- 0.1+ 960806 605 (4.7- 2.0-) 960910 360 0.4+ 0.1+ 970112 360 1.4+ 0.3- 960807 118 0.5- 0.8- 960911 897 (3.1- 1.0-) 970305 118 0.4- 1.9- 960807 118 0.6+ 1.0- 960915 900 2.0- 0.7- 970305 118 0.8+ 2.1- 960810 118 0.8+ 0.8- 960915 900 1.0- 0.2- 970305 118 1.3+ 1.8- ( ) -------- Rejected Obs.

Director, Computing Section Syuichi Nakano 1999 Oct. 31

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