Nakano Note (Nakano wa Kangaeru noda) NK 2727 72P/Denning
The following improved orbital elements, by S. Nakano, are from 43 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 mean residual is +/- 1.35 arc seconds. The residuals of recovery observatyons made by Hidetaka Sato from the prediction in NK 730 (= NK 2163, HICQ 2014) were -0.19 deg for R. A. and -0.13 deg for Decl. with delta-T correction = +0.23 day. The comet has passed 0.52 AU from Jupiter on 1909 Aug. 27 UT. See the previous orbits in NK 343, NK 344, NK 358, NK 487 and NK 730. Epoch = 2014 July 2.0 TT T = 2014 July 11.62965 +/- 0.00014 (m.e.) TT Peri. = 337.84103 +/- 0.00039 Node = 36.11683 +/- 0.00031 (2000.0) Inc. = 9.16957 +/- 0.00008 q = 0.7841539 +/- 0.0000034 AU e = 0.8190854 +/- 0.0000008 a = 4.3343877 +/- 0.0000063 AU n' = 0.10922258 +/- 0.00000024 P = 9.024 +/- 0.0000197 years A1 = -0.155 +/- 0.007 A2 = +0.02406 +/- 0.00011 T = 1881 Sept.13.84617 TT Epoch = 1881 Aug. 28.0 TT Peri. = 312.68011 e = 0.8286843 Node = 67.45755 (2000.0) a = 4.2340672 AU Inc. = 6.86349 n'= 0.11312731 q = 0.7253622 AU P = 8.712 years [ T = 1890 May 18.03161 TT Epoch = 1890 June 2.0 TT Peri. = 312.68196 e = 0.8269398 Node = 66.91753 (2000.0) a = 4.2564224 AU Inc. = 6.93308 n'= 0.11223725 q = 0.7366174 AU P = 8.781 years ] [ T = 1899 Mar. 16.47171 TT Epoch = 1899 Mar. 7.0 TT Peri. = 313.21337 e = 0.8249961 Node = 66.48294 (2000.0) a = 4.2747961 AU Inc. = 6.96340 n'= 0.11151441 q = 0.7481060 AU P = 8.838 years ] [ T = 1908 Jan. 12.49374 TT Epoch = 1908 Jan. 20.0 TT Peri. = 313.34618 e = 0.8256588 Node = 66.30027 (2000.0) a = 4.2637895 AU Inc. = 6.97931 n'= 0.11194648 q = 0.7433541 AU P = 8.804 years ] [ T = 1916 Oct. 9.39944 TT Epoch = 1916 Oct. 24.0 TT Peri. = 330.80427 e = 0.8255137 Node = 48.36805 (2000.0) a = 4.2479494 AU Inc. = 8.25138 n'= 0.11257322 q = 0.7412091 AU P = 8.755 years ] [ T = 1925 June 30.70795 TT Epoch = 1925 June 19.0 TT Peri. = 330.17618 e = 0.8231683 Node = 48.19793 (2000.0) a = 4.2887333 AU Inc. = 8.22782 n'= 0.11097126 q = 0.7583841 AU P = 8.882 years ] [ T = 1934 May 26.56999 TT Epoch = 1934 June 12.0 TT Peri. = 330.19203 e = 0.8224323 Node = 48.17210 (2000.0) a = 4.3020631 AU Inc. = 8.21757 n'= 0.11045590 q = 0.7639073 AU P = 8.923 years ] [ T = 1943 Apr. 23.09791 TT Epoch = 1943 Apr. 26.0 TT Peri. = 330.29980 e = 0.8231174 Node = 48.03641 (2000.0) a = 4.2902718 AU Inc. = 8.23879 n'= 0.11091157 q = 0.7588743 AU P = 8.886 years ] [ T = 1952 Jan. 3.49910 TT Epoch = 1951 Dec. 20.0 TT Peri. = 335.59897 e = 0.8262319 Node = 41.77239 (2000.0) a = 4.2353913 AU Inc. = 9.05980 n'= 0.11307426 q = 0.7359761 AU P = 8.716 years ] [ T = 1960 Sept.14.97860 TT Epoch = 1960 Sept.23.0 TT Peri. = 334.19189 e = 0.8199104 Node = 41.71465 (2000.0) a = 4.3278934 AU Inc. = 8.63327 n'= 0.10946852 q = 0.7794085 AU P = 9.004 years ] [ T = 1969 Sept.23.68693 TT Epoch = 1969 Sept.16.0 TT Peri. = 334.22667 e = 0.8193477 Node = 41.65288 (2000.0) a = 4.3406179 AU Inc. = 8.62413 n'= 0.10898751 q = 0.7841426 AU P = 9.043 years ] T = 1978 Oct. 2.13936 TT Epoch = 1978 Oct. 19.0 TT Peri. = 334.30810 e = 0.8198723 Node = 41.53856 (2000.0) a = 4.3285573 AU Inc. = 8.64393 n'= 0.10944333 q = 0.7796932 AU P = 9.006 years [ T = 1987 Aug. 2.21947 TT Epoch = 1987 July 24.0 TT Peri. = 338.45271 e = 0.8215467 Node = 36.50273 (2000.0) a = 4.2778726 AU Inc. = 9.39541 n'= 0.11139413 q = 0.7634006 AU P = 8.848 years ] [ T = 1996 May 29.94061 TT Epoch = 1996 June 6.0 TT Peri. = 337.57588 e = 0.8178120 Node = 36.39008 (2000.0) a = 4.3370122 AU Inc. = 9.12801 n'= 0.10912346 q = 0.7901514 AU P = 9.032 years ] [ T = 2005 June 20.16844 TT Epoch = 2005 July 9.0 TT Peri. = 337.59109 e = 0.8169058 Node = 36.36882 (2000.0) a = 4.3510946 AU Inc. = 9.10914 n'= 0.10859412 q = 0.7966601 AU P = 9.076 years ] The predicted orbit for the 2023 return is as follows: T = 2023 June 15.84323 TT Epoch = 2023 June 25.0 TT Peri. = 346.73351 e = 0.8186936 Node = 26.70232 (2000.0) a = 4.3077846 AU Inc. = 10.94852 n'= 0.11023591 q = 0.7810287 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/ 811029 522 14.0+ 16.0- 781029 372 1.2+ 3.5+ 811010 996 13.4- 8.0+ 811029 996 (2.6+ 20.6-) 781029 372 1.2- 1.0- 811011 996 12.5- 6.4+ 811031 007 0.8+ 14.6- 781031 372 (2.4- 4.8+)Y 811011 802 11.9- 12.0+ 811120 522(11.7+ 43.3-) 781101 801 0.3+ 0.6- 811011 802 4.9- 5.1+ 811125 522 (8.7+ 24.1-) 781102 801 0.1+ 2.1+ 811012 802 0.8+ 11.9+ 1978/ 781102 372 3.3- 0.4- 811013 996 3.0- 3.4+ 781010 688 0.8+ 2.3- 781103 801 0.5+ 1.7+ 811018 007 4.9+ 0.8+ 781011 372 1.6- 2.7+ 781104 801 0.8+ 1.0+ 811018 034 1.5+ 8.6- 781011 372 0.0 2.4+ 781108 372(16.3- 18.8+) 811019 007 2.7+ 4.9- 781011 885 (4.4+ 5.8+)Y 781109 372 1.6- 3.4+ Y 811019 522 13.7+ 9.9- 781011 323(14.2+ 7.0-) 781126 801 1.3+ 3.2- 811019 802 4.5- 6.2- 781012 063 0.5- 0.8+ 781203 801 1.3- 1.9- 811020 522 8.4+ 12.8- 781012 323 1.1- 1.6- 781229 801 0.7+ 0.5- 811021 802 5.1- 7.9- 781013 688 1.1+ 2.1- 2014/ 811022 034 (1.7- 19.1-) 781013 323(12.6- 16.2-) 140617 Q62 0.2+ 0.1+ 811022 996 2.0- 5.2- 781014 020 (4.3+ 2.8+) 140617 Q62 0.2+ 0.1+ 811022 802 3.3- 9.8- 781014 020 2.3+ 2.1- 140617 Q62 1.1+ 1.0- 811027 802 6.9+ 15.2- 781016 372 (3.5- 4.2-) 140618 Q62 0.1+ 0.2- 811028 802 6.6- 9.5- 781028 801 1.2+ 1.2+ 140618 Q62 0.1+ 0.6- ( ) -------- Rejected Obs. Following observations were not included to improve: 2014/ 140625 Q62 0.6+ 0.2+ 140701 Q62 1.0+ 0.3+ 140620 Q62 1.0+ 0.3- 140625 Q62 0.7+ 0.0 140701 Q62 0.0 0.3+ 140620 Q62 1.2+ 0.4+ 140625 Q62 0.5+ 0.2+ 140708 Q62 2.0+ 0.7+ 140620 Q62 1.6+ 0.7+ 140701 372 1.4+ 0.7+ 140708 Q62 1.4+ 1.0+ 140625 Q62 0.8+ 0.4+ 140701 372 1.3+ 0.6+ 140708 Q62 1.6+ 1.5+
Associate of the CBAT Syuichi Nakano 2014 June 18