Nakano Note (Nakano wa Kangaeru noda) NK 1768 138P/Shoemaker-Levy 7

The following improved orbital elements, by S. Nakano, are from 75 observations 1991 to 2006, 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 +/- 0.58 arc second. See the previous orbits in NK 625 and NK 849 (= MPC 45657). Epoch = 2005 July 9.0 TT T = 2005 July 19.90819 +/- 0.00075 (m.e.) TT Peri. = 95.64969 +/- 0.00032 Node = 309.44321 +/- 0.00012 (2000.0) Inc. = 10.07933 +/- 0.00003 q = 1.7073024 +/- 0.0000027 AU e = 0.5294665 +/- 0.0000008 a = 3.6284400 +/- 0.0000023 AU n' = 0.14260152 +/- 0.00000014 P = 6.912 +/- 0.0000067 years A1 = +0.054 +/- 0.060 A2 = -0.01028 +/- 0.00089 T = 1991 Oct. 27.47777 TT Epoch = 1991 Oct. 31.0 TT Peri. = 91.91084 e = 0.5427281 Node = 312.96862 (2000.0) a = 3.5644088 AU Inc. = 10.27826 n'= 0.14646128 q = 1.6299041 AU P = 6.729 years T = 1998 Aug. 24.56524 TT Epoch = 1998 Aug. 15.0 TT Peri. = 95.52260 e = 0.5311192 Node = 309.51806 (2000.0) a = 3.6196856 AU Inc. = 10.08890 n'= 0.14311917 q = 1.6972010 AU P = 6.887 years The predicted orbit for the 2012 return is as follows: T = 2012 June 11.73073 TT Epoch = 2012 June 2.0 TT Peri. = 95.62227 e = 0.5307024 Node = 309.40837 (2000.0) a = 3.6236574 AU Inc. = 10.08331 n'= 0.14288393 q = 1.7005737 AU P = 6.898 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 1991/ 920101 801 0.6+ 0.5- 990212 693 0.0 0.5+ 911113 675 0.1- 0.2- 920101 801 0.7+ 0.7- 2005/ 911113 675 0.0 0.9- 920106 801 0.4+ 0.4- 051028 G96 0.6+ 0.5+ 911115 675 1.4- 0.8- 920106 801 0.4+ 0.5- 051028 G96 0.0 0.7+ 911116 675 (4.6+ 0.8+) 1998/ 051028 G96 0.1+ 1.0+ 911128 372 0.5+ 1.1+ 980725 691 0.7+ 0.2- 051028 G96 0.1- 0.6+ 911128 372 0.8- 0.4- 980725 691 0.3+ 0.1+ 051029 G96 0.4+ 0.1+ 911130 675 0.3+ 1.0+ 980725 691 0.8+ 0.2- 051029 G96 0.5+ 0.3+ 911130 675 0.1- 0.3- 980726 691 0.5- 0.2+ 051029 G96 0.7+ 0.3+ 911201 675 0.3+ 0.5- 980726 691 0.9- 0.1- 051222 568 0.6- 0.3- 911203 675 0.3+ 1.6- 980726 691 0.3+ 0.0 051222 568 0.0 0.3- 911204 372 1.0- 1.0+ 981114 867 0.2- 0.2- 051222 568 0.2+ 0.1- 911204 372 (2.3- 2.2+) 981114 867 0.5- 0.5- 051230 G96 0.1- 0.5- 911205 801 1.0+ 0.1+ 981114 867 0.7+ 0.8- 051230 G96 0.2- 0.2- 911205 801 0.2+ 1.1+ 981115 360 1.1- 0.4- 051230 G96 0.1- 0.3- 911206 801 0.5- 0.3- 981115 360 0.9- 0.1- 051230 G96 0.0 0.4- 911206 801 (1.1- 3.1-) 981115 360 1.0- 0.6- 2006/ 911208 372 (0.3- 2.5+) 981123 693 0.4+ 0.4+ 060104 691 0.1+ 0.2+ 911208 372 0.8- 1.1+ 981123 693 0.6+ 0.4+ 060104 691 0.1- 0.5+ 911210 657 0.3- 0.7+ 981123 693 0.7+ 0.5+ 060104 691 0.3+ 0.3+ 911210 657 0.7+ 1.3+ 981216 360 0.5- 0.4+ 060123 215 0.7- 0.2- 911210 657 1.4+ 0.5- 981216 360 0.0 0.1+ 060220 691 0.2+ 0.2- 911211 372 (0.6+ 2.8+) 981216 360 0.3+ 0.2+ 060220 691 0.0 0.1+ 911213 372 0.5+ 0.6+ 1999/ 060220 691 0.0 0.5+ 911224 950 1.8- 0.7- 990115 693 0.1+ 0.2- 060224 G96 0.0 0.5- 911224 950 0.8- 0.7+ 990115 693 0.2+ 0.3- 060224 G96 0.4- 0.4- 911229 372 1.2+ 0.8- 990115 693 0.2+ 0.5- 060224 G96 0.5+ 0.1- 911230 372 0.6- 0.5- 990212 693 0.1+ 0.8+ 060224 G96 0.4- 0.0 1992/ 990212 693 0.0 0.8+ ( ) -------- Rejected Obs.

Managing Director of the Oriental Astronomical Association Syuichi Nakano 2009 Apr. 22

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