Nakano Note (Nakano wa Kangaeru noda) NK 4262 72P/Denning-Fujikawa

The following improved orbital elements, by S. Nakano, are from 60 observations 1881 to 2014, including planetary perturbations by Mercury to Neptune and three minor planets, Ceres, Pallas, Vesta, and non-gravitational effect of style II. The weighting mean residual is +/- 1.08 arc seconds. The recovery was made by Hidetaka Sato, Tokyo, Japan. Residuals from the prediction in NK 730 (= NK 2163, HICQ 2014) were -0.19 deg for Right Ascension and -0.13 deg for Declination with delta-T correction = +0.23 day. The comet has passed 0.52 AU and 0.55 AU from Jupiter on 1909 Aug. 27 and 2016 Mar. 7 UT, respectively. See the previous orbits in NK 343, NK 344, NK 358, NK 487, NK 730 and NK 2727. Epoch = 2014 July 2.0 TT T = 2014 July 11.62929 +/- 0.00011 (m.e.) TT Peri. = 337.84077 +/- 0.00032 Node = 36.11678 +/- 0.00024 (2000.0) Inc. = 9.16955 +/- 0.00007 q = 0.7841509 +/- 0.0000025 AU e = 0.8190857 +/- 0.0000006 a = 4.3343784 +/- 0.0000195 AU n' = 0.10922293 +/- 0.00000074 P = 9.024 +/- 0.0000610 years A1 = -0.144 +/- 0.008 A2 = +0.02415 +/- 0.00008 T = 1881 Sept.13.85601 TT Epoch = 1881 Aug. 28.0 TT Peri. = 312.67990 e = 0.8286842 Node = 67.45811 (2000.0) a = 4.2340562 AU Inc. = 6.86342 n'= 0.11312775 q = 0.7253606 AU P = 8.712 years [ T = 1890 May 18.03926 TT Epoch = 1890 June 2.0 TT Peri. = 312.68169 e = 0.8269397 Node = 66.91808 (2000.0) a = 4.2564109 AU Inc. = 6.93300 n'= 0.11223770 q = 0.7366156 AU P = 8.781 years ] [ T = 1899 Mar. 16.47731 TT Epoch = 1899 Mar. 7.0 TT Peri. = 313.21307 e = 0.8249960 Node = 66.48348 (2000.0) a = 4.2747844 AU Inc. = 6.96332 n'= 0.11151486 q = 0.7481042 AU P = 8.838 years ] [ T = 1908 Jan. 12.49781 TT Epoch = 1908 Jan. 20.0 TT Peri. = 313.34582 e = 0.8256587 Node = 66.30082 (2000.0) a = 4.2637774 AU Inc. = 6.97924 n'= 0.11194696 q = 0.7433523 AU P = 8.804 years ] [ T = 1916 Oct. 9.40215 TT Epoch = 1916 Oct. 24.0 TT Peri. = 330.80433 e = 0.8255135 Node = 48.36813 (2000.0) a = 4.2479391 AU Inc. = 8.25132 n'= 0.11257363 q = 0.7412078 AU P = 8.755 years ] [ T = 1925 June 30.70967 TT Epoch = 1925 June 19.0 TT Peri. = 330.17622 e = 0.8231682 Node = 48.19802 (2000.0) a = 4.2887229 AU Inc. = 8.22776 n'= 0.11097166 q = 0.7583827 AU P = 8.882 years ] [ T = 1934 May 26.57104 TT Epoch = 1934 June 12.0 TT Peri. = 330.19199 e = 0.8224323 Node = 48.17219 (2000.0) a = 4.3020539 AU Inc. = 8.21751 n'= 0.11045625 q = 0.7639059 AU P = 8.923 years ] [ T = 1943 Apr. 23.09879 TT Epoch = 1943 Apr. 26.0 TT Peri. = 330.29973 e = 0.8231173 Node = 48.03650 (2000.0) a = 4.2902617 AU Inc. = 8.23873 n'= 0.11091196 q = 0.7588730 AU P = 8.886 years ] [ T = 1952 Jan. 3.49992 TT Epoch = 1951 Dec. 20.0 TT Peri. = 335.59893 e = 0.8262318 Node = 41.77241 (2000.0) a = 4.2353818 AU Inc. = 9.05974 n'= 0.11307464 q = 0.7359745 AU P = 8.716 years ] [ T = 1960 Sept.14.97982 TT Epoch = 1960 Sept.23.0 TT Peri. = 334.19181 e = 0.8199105 Node = 41.71468 (2000.0) a = 4.3278827 AU Inc. = 8.63323 n'= 0.10946892 q = 0.7794061 AU P = 9.004 years ] [ T = 1969 Sept.23.68722 TT Epoch = 1969 Sept.16.0 TT Peri. = 334.22655 e = 0.8193478 Node = 41.65291 (2000.0) a = 4.3406076 AU Inc. = 8.62409 n'= 0.10898790 q = 0.7841402 AU P = 9.043 years ] T = 1978 Oct. 2.13924 TT Epoch = 1978 Oct. 19.0 TT Peri. = 334.30791 e = 0.8198725 Node = 41.53859 (2000.0) a = 4.3285485 AU Inc. = 8.64390 n'= 0.10944367 q = 0.7796908 AU P = 9.006 years [ T = 1987 Aug. 2.21924 TT Epoch = 1987 July 24.0 TT Peri. = 338.45258 e = 0.8215468 Node = 36.50267 (2000.0) a = 4.2778629 AU Inc. = 9.39538 n'= 0.11139451 q = 0.7633982 AU P = 8.848 years ] [ T = 1996 May 29.94072 TT Epoch = 1996 June 6.0 TT Peri. = 337.57570 e = 0.8178123 Node = 36.39003 (2000.0) a = 4.3370020 AU Inc. = 9.12799 n'= 0.10912384 q = 0.7901484 AU P = 9.032 years ] [ = 2005 June 20.16803 TT Epoch = 2005 July 9.0 TT Peri. = 337.59085 e = 0.8169062 Node = 36.36877 (2000.0) a = 4.3510861 AU Inc. = 9.10912 n'= 0.10859443 q = 0.7966571 AU P = 9.076 years ] The predicted orbit for the 2023 return is as follows: T = 2023 June 15.84727 TT Epoch = 2023 June 25.0 TT Peri. = 346.73340 e = 0.8186937 Node = 26.70211 (2000.0) a = 4.3077792 AU Inc. = 10.94851 n'= 0.11023612 q = 0.7810274 AU P = 8.941 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 1881/ 781011 372 0.4- 2.3+ 140617 Q62 0.3+ 1.4- 811010 996(17.1- 16.2+) 781011 885 (3.9+ 5.7+)Y 140618 Q62 0.8- 0.7- 811011 996(15.9- 14.2+) 781011 323(13.7+ 7.2-) 140618 Q62 0.8- 1.0- 811011 802(15.2- 19.7+) 781012 063 1.0- 0.6+ 140620 Q62 0.2+ 0.7- 811011 802 8.2- 12.9+ 781012 323 1.6- 1.8- 140620 Q62 0.3+ 0.1- 811012 802 (2.2- 19.4+) 781013 688 0.7+ 2.2- 140620 Q62 0.7+ 0.3+ 811013 996 5.8- 10.5+ 781013 323(13.1- 16.3-) 140625 Q62 0.1- 0.1- 811018 007 3.2+ 6.5+ 781014 020 (3.8+ 2.7+) 140625 Q62 0.3- 0.3- 811018 034 0.2- 3.0- 781014 020 1.9+ 2.2- 140625 Q62 0.2- 0.5- 811019 007 1.2+ 0.5+ 781016 372 (3.9- 4.2-) 140625 Q62 0.4- 0.3- 811019 522 9.4+ 0.5+ 781028 801 0.9+ 1.4+ 140701 372 0.5+ 0.3+ 811019 802 6.0- 0.9- 781029 372 0.4- 0.9+ 140701 372 0.5+ 0.2+ 811020 522 3.7+ 1.6- 781029 372 0.0 0.3+ 140701 Q62 0.1+ 0.2- 811021 802 6.2- 3.0- 781031 372 0.4- 1.2+ 140701 Q62 0.9- 0.1- 811022 034 2.8- 14.4- 781101 801 0.0 0.4- 140708 Q62 1.2+ 0.3+ 811022 996 3.0- 0.5- 781102 801 0.2- 2.4+ 140708 Q62 0.5+ 0.6+ 811022 802 4.3- 5.1- 781102 372 1.4- 0.6+ 140708 Q62 0.7+ 1.2+ 811027 802 6.4+ 11.6- 781103 801 0.2+ 2.0+ 140711 D95 1.3- 1.0+ 811028 802 7.0- 6.0- 781104 801 0.5+ 1.3+ 140711 D95 0.2- 2.3+ 811029 522 13.7+ 12.7- 781108 372(16.5- 19.1+) 140715 349 0.9- 2.3+ 811029 996 (2.3+ 17.2-) 781109 372 (1.8- 3.8+)Y 140715 349 0.3+ 1.1+ 811031 007 0.7+ 11.5- 781126 801 1.1+ 2.7- 140725 372 (2.9+ 1.0+) 811120 522(12.7+ 42.7-) 781203 801 1.5- 1.5- 140725 372 (2.8+ 0.8+) 811125 522 (6.0+ 20.0-) 781229 801 0.6+ 0.0 140802 349 1.9+ 0.5- 1978/ 2014/ 140802 349 1.0+ 0.4+ 781010 688 0.3+ 2.5- 140617 Q62 0.6- 0.3- 781011 372 1.2- 0.8+ 140617 Q62 0.6- 0.3- ( ) -------- Rejected Obs.

Associate of the CBAT Syuichi Nakano 2020 Dec. 4

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