Nakano Note (Nakano wa Kangaeru noda) NK 3258 146P/Shoemaker-LINEAR

The following improved orbital elements, by S. Nakano, are from 134 observations 2000 to 2016, 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 +/- 0.74 arc second. Residuals in 2016 October/November observations were +12" for Right Ascension and +3" for Declination from an orbit in NK 1684 (= HICQ 2015) with the delta-T correction = -0.01 day. See the previous orbits in NK 513, NK 655, NK 1200 and NK 1684. Epoch = 2016 June 21.0 TT T = 2016 June 30.13483 +/- 0.00022 (m.e.) TT Peri. = 316.98332 +/- 0.00018 Node = 53.45306 +/- 0.00006 (2000.0) Inc. = 23.07233 +/- 0.00004 q = 1.4300964 +/- 0.0000017 AU e = 0.6460291 +/- 0.0000004 a = 4.0401524 +/- 0.0000017 AU n' = 0.12136891 +/- 0.00000007 P = 8.121 +/- 0.0000050 years A1 = +0.313 +/- 0.018 A2 = -0.03245 +/- 0.00052 T = 2000 July 14.31429 TT Epoch = 2000 June 25.0 TT Peri. = 317.77259 e = 0.6667697 Node = 55.35640 (2000.0) a = 3.9589857 AU Inc. = 21.61608 n'= 0.12512041 q = 1.3192539 AU P = 7.877 years T = 2008 May 21.34876 TT Epoch = 2008 May 14.0 TT Peri. = 316.84016 e = 0.6479272 Node = 53.56635 (2000.0) a = 4.0267554 AU Inc. = 23.07906 n'= 0.12197510 q = 1.4177112 AU P = 8.080 years The predicted orbit for the 2024 return is as follows: T = 2024 Aug. 5.45668 TT Epoch = 2024 July 29.0 TT Peri. = 317.07679 e = 0.6473951 Node = 53.37514 (2000.0) a = 4.0258962 AU Inc. = 23.12274 n'= 0.12201416 q = 1.4195505 AU P = 8.078 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 2000/ 2008/ 160814 A71 0.3- 0.2+ 000927 704 (3.0- 3.4-) 080821 461 0.1- 0.5+ 160814 A71 0.3- 0.1- 000927 704 (3.2- 3.6-) 080821 461 0.6- 0.7+ 160821 W96 1.7- 0.7- 000927 704 0.2- 1.4- 080825 461 0.0 0.2+ 160821 W96 0.6+ 0.0 000927 704 (4.0- 1.2-) 080825 461 0.2- 0.4- 160825 B96 (0.1+ 2.8-) 000928 704 (2.5- 2.1+) 080825 461 0.1- 0.3- 160825 B96 0.3- 1.3- 000928 704 1.1+ 0.4- 080903 114 (3.1- 1.5-) 160825 B96 0.8- 1.1- 000928 704 0.4+ 0.3+ 080903 114 1.7- 1.2- 160825 B96 1.1+ 0.6- 000928 684 0.1+ 0.5- 080903 114 (2.8- 1.5-) 160825 B96 1.5- 1.4- 000928 684 0.7+ 0.8- 080903 114 (2.2- 0.2-) 160825 B96 0.6+ 1.0- 000928 684 0.2- 0.1+ 080903 114 0.6+ 1.3+ 160828 585 0.5- 0.3+ 000929 046 0.6+ 0.4- 080903 114 0.3+ 0.4+ 160828 585 0.9- 0.3+ 000929 046 1.3+ 0.2+ 080903 114 0.6- 0.7+ 160828 585 1.2- 0.0 000929 046 0.3+ 0.0 080909 215 (2.5- 1.5-) 160828 585 0.3- 0.7+ 000929 046 1.1+ 0.6- 2016/ 160828 585 0.3- 1.4+ 000929 046 0.5+ 0.4- 160419 Q62 0.9- 1.1- 160828 585 0.3- 0.2- 000929 046 0.4+ 0.1- 160419 Q62 0.6- 1.1- 160828 585 0.9- 0.1+ 000929 118 0.4- 0.3+ 160419 Q62 0.2- 1.1- 160828 585 0.8+ 0.7+ 000929 118 0.6- 0.6+ 160504 Q62 0.0 0.2- 160828 585 0.4+ 1.1+ 000929 557 0.5- 0.3- 160504 Q62 0.3+ 0.1- 160902 A77 1.2+ 1.5+ 000929 557 0.1+ 0.2- 160514 Q62 0.1+ 1.2- 160902 A77 0.7+ 1.2+ 000929 557 0.4- 0.3- 160514 Q62 0.3- 1.2- 160902 A77 0.3+ 1.0+ 001001 704 0.9+ 0.2+ 160514 Q62 0.4+ 1.1- 161005 B96 1.6- 1.6+ 001001 704 0.7+ 0.1+ 160514 Q62 0.3- 1.0- 161005 B96 0.3+ 1.7+ 001001 704 1.3- 0.9+ 160614 Q62 0.1+ 0.5- 161007 C51 1.8+ 0.2+ 001002 704 (2.4+ 2.6+) 160614 Q62 0.6+ 0.2- 161008 C51 0.2+ 0.3+ 001002 704 1.2+ 0.6- 160703 Q62 0.6+ 0.1- 161008 C51 0.7- 0.5- 001002 704 1.3- 0.2+ 160703 Q62 0.3+ 0.4- 161008 C51 (2.6- 1.1+) 001106 704 1.3+ 0.3- 160703 Q62 0.6+ 0.2- 161008 C51 1.0+ 0.6+ 001106 704 0.8- 0.1- 160703 Q62 0.6+ 0.3- 161008 C51 (0.5+ 2.2+) 001106 704 0.2+ 0.1+ 160707 G40 0.6+ 0.1+ 161008 C51 (2.3+ 0.8+) 001106 402 0.5+ 1.0- 160707 G40 0.4+ 0.1- 161009 I81 (1.3+ 2.2+) 001106 402 0.3- 0.4- 160709 349 1.0+ 0.8+ 161009 I81 0.5- 1.8+ 001106 402 (9.3- 1.9+) 160709 349 0.9+ 0.6+ 161009 I81 1.2- 0.8+ 001126 705 0.0 0.5- 160728 349 0.9+ 0.5+ 161009 I81 (4.4- 0.8-) 001126 705 0.0 0.4- 160728 349 1.1+ 0.6+ 161009 C51 (2.3+ 1.2+) 001126 705 0.0 0.4- 160730 W96 0.4+ 0.5+ 161010 I81 0.6+ 0.1+ 001128 360 0.1+ 0.8- 160730 W96 1.0- 0.2- 161010 I81 0.1+ 0.5- 001128 360 1.0- 0.7- 160802 A71 0.1- 0.2- 161010 I81 0.5- 0.4- 001204 402 1.0- 0.9- 160802 A71 0.3- 0.1+ 161011 703 (2.3+ 0.2+) 001204 402 0.3+ 1.2- 160804 A71 0.0 0.6- 161011 703 0.5+ 0.2+ 001204 402 0.6- 1.1- 160804 A71 0.3- 0.3+ 161011 703 1.6- 0.3+ 001205 360 0.1- 0.6- 160804 215 1.0+ 0.1- 161025 I81 0.3+ 1.1+ 001205 360 0.3- 0.9- 160804 215 0.8+ 0.3+ 161025 I81 0.2+ 0.9+ 001229 360 0.3- 1.2- 160804 215 0.4+ 0.9+ 161025 I81 0.3- 0.9+ 001229 360 0.6- 1.0- 160808 W96 0.5- 1.1- 161031 J22 (0.4+ 2.2+) 001230 699 (1.8- 2.1-) 160808 W96 0.3- 0.6- 161031 J22 0.1- 1.2+ 001230 699 (0.8- 3.0-) 160808 367 0.2- 1.1- 161101 I81 0.2+ 1.7+ 001230 699 0.8- 0.4- 160808 367 0.4+ 0.7- 161101 I81 0.6+ 1.7+ 001230 699 (2.6- 2.0-) 160813 G40 0.1- 0.0 161101 I81 1.0+ 1.9+ 2001/ 160813 G40 0.0 0.7+ 161119 349 0.3- 1.1+ 010220 867 0.3- 0.4- 160813 D95 0.2- 0.1+ 161119 349 1.1- 0.3+ 010220 867 0.2- 1.2- 160813 D95 0.5+ 0.5- 010220 867 0.1- 0.6- 160813 D95 0.8+ 0.2- ( ) -------- Rejected Obs.

Associate of the CBAT Syuichi Nakano 2016 Dec. 5

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