OAA computing section circular NK 730 72P/Denning-Fujikawa

The following improved orbital elements, by S. Nakano, are from 34 observations 1881-1978, 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 +/- 1.62 arc seconds. Epoch = 1978 Oct. 19.0 TT T = 1978 Oct. 2.14112 +/- 0.00089 (m.e.) TT Peri. = 334.31259 +/- 0.00218 Node = 41.53630 +/- 0.00105 (2000.0) Inc. = 8.64346 +/- 0.00024 q = 0.7797161 +/- 0.0000112 AU e = 0.8198585 +/- 0.0000024 a = 4.3283525 +/- 0.0000196 AU n' = 0.10945110 +/- 0.00000074 P = 9.005 +/- 0.0000613 years A1 = -0.001 +/- 0.035 A2 = +0.02365 +/- 0.00036 T = 1881 Sept.13.83183 TT Epoch = 1881 Aug. 28.0 TT Peri. = 312.66425 e = 0.8286674 Node = 67.48256 (2000.0) a = 4.2339603 AU Inc. = 6.86120 n'= 0.11313159 q = 0.7254155 AU P = 8.712 years [ T = 1890 May 18.05092 TT Epoch = 1890 June 2.0 TT Peri. = 312.66537 e = 0.8269220 Node = 66.94204 (2000.0) a = 4.2563217 AU Inc. = 6.93081 n'= 0.11224123 q = 0.7366758 AU P = 8.781 years ] [ T = 1899 Mar. 16.53391 TT Epoch = 1899 Mar. 7.0 TT Peri. = 313.19686 e = 0.8249781 Node = 66.50699 (2000.0) a = 4.2746870 AU Inc. = 6.96115 n'= 0.11151867 q = 0.7481639 AU P = 8.838 years ] [ T = 1908 Jan. 12.59486 TT Epoch = 1908 Jan. 20.0 TT Peri. = 313.32889 e = 0.8256398 Node = 66.32422 (2000.0) a = 4.2636545 AU Inc. = 6.97705 n'= 0.11195180 q = 0.7434115 AU P = 8.804 years ] [ T = 1916 Oct. 9.54672 TT Epoch = 1916 Oct. 24.0 TT Peri. = 330.80092 e = 0.8254921 Node = 48.37779 (2000.0) a = 4.2478529 AU Inc. = 8.24912 n'= 0.11257705 q = 0.7412840 AU P = 8.755 years ] [ T = 1925 June 30.88690 TT Epoch = 1925 June 19.0 TT Peri. = 330.17265 e = 0.8231472 Node = 48.20762 (2000.0) a = 4.2886097 AU Inc. = 8.22562 n'= 0.11097606 q = 0.7584526 AU P = 8.881 years ] [ T = 1934 May 26.76589 TT Epoch = 1934 June 12.0 TT Peri. = 330.18746 e = 0.8224114 Node = 48.18181 (2000.0) a = 4.3019464 AU Inc. = 8.21537 n'= 0.11046039 q = 0.7639765 AU P = 8.923 years ] [ T = 1943 Apr. 23.30671 TT Epoch = 1943 Apr. 26.0 TT Peri. = 330.29467 e = 0.8230955 Node = 48.04612 (2000.0) a = 4.2901353 AU Inc. = 8.23658 n'= 0.11091687 q = 0.7589443 AU P = 8.886 years ] [ T = 1952 Jan. 3.69570 TT Epoch = 1951 Dec. 20.0 TT Peri. = 335.60480 e = 0.8262110 Node = 41.77019 (2000.0) a = 4.2352382 AU Inc. = 9.05885 n'= 0.11308039 q = 0.7360378 AU P = 8.716 years ] [ T = 1960 Sept.15.15395 TT Epoch = 1960 Sept.23.0 TT Peri. = 334.19801 e = 0.8198963 Node = 41.71227 (2000.0) a = 4.3276813 AU Inc. = 8.63280 n'= 0.10947657 q = 0.7794312 AU P = 9.003 years ] [ T = 1969 Sept.23.77628 TT Epoch = 1969 Sept.16.0 TT Peri. = 334.23218 e = 0.8193336 Node = 41.65062 (2000.0) a = 4.3404081 AU Inc. = 8.62365 n'= 0.10899541 q = 0.7841660 AU P = 9.043 years ] The predicted orbit for the 2005 return is as follows: T = 2005 June 19.96323 TT Epoch = 2005 July 9.0 TT Peri. = 337.59163 e = 0.8168887 Node = 36.36729 (2000.0) a = 4.3509499 AU Inc. = 9.10800 n'= 0.10859953 q = 0.7967080 AU P = 9.076 years The following residuals in seconds of arc are from the above orbital elements: 1881/ 811022 802 1.1- 3.1- 781013 323(12.8- 16.3-) 811010 996 2.8- 4.7+ 811027 802 6.7+ 5.6- 781014 020 (4.1+ 2.6+) 811011 996 2.9- 4.1+ 811028 802 7.1- 0.7+ 781014 020 2.2+ 2.3- 811011 802 (2.4- 9.8+) 811029 522(13.2+ 5.4-) 781016 372 (3.5- 4.5-) 811011 802 4.6+ 3.0+ 811029 996 (1.8+ 9.9-) 781028 801 1.4+ 0.5+ 811012 802 (9.4+ 10.8+) 811031 007 0.8- 2.8- 781029 372 1.4+ 2.9+ 811013 996 5.0+ 2.9+ 811120 522 (3.4+ 22.5-) 781029 372 1.0- 1.7- 811018 007 (9.4+ 4.4+) 811125 522 5.4- 2.7+ 781031 372 (2.2- 4.1+)Y 811018 034 5.9+ 4.9- 811125 522 1.4- 1.2- 781101 801 0.5+ 1.3- 811019 007 6.6+ 0.5- 1978/ 781102 801 0.3+ 1.5+ 811019 522(14.8+ 0.4-) 781010 688 0.5+ 1.9- 781102 372 3.0- 1.1- 811019 522(17.6+ 5.4-) 781011 372 1.9- 2.8+ 781103 801 0.7+ 1.1+ 811019 802 0.8- 1.6- 781011 372 0.2- 2.6+ 781104 801 1.0+ 0.4+ 811020 522 (8.3+ 1.6-) 781011 885 (4.2+ 5.9+)Y 781108 372(16.1- 18.3+) 811020 522(11.7+ 7.7-) 781011 323(14.0+ 6.9-) 781109 372 1.4- 3.0+ Y 811021 802 2.4- 1.9- 781012 063 0.7- 0.9+ 781126 801 1.3+ 2.9- 811022 034 (0.5+ 12.6-) 781012 323 1.3- 1.6- 781203 801 1.4- 1.4- 811022 996 0.3+ 1.3+ 781013 688 1.0+ 2.2- 781229 801 0.3+ 1.1+ ( ) -------- Rejected Obs.

Director, Computing Section Syuichi Nakano 2000 Oct. 4

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