Nakano Note (Nakano wa Kangaeru noda) NK 2048 P/2011 A1 = 5CM197 = E1Sf09 (Larson)

The following improved orbital elements, by S. Nakano, are from 232 observations 1995 to 2011. Perturbations by Mercury to Neptune and three minor planets, Ceres, Pallas and Vesta, were taken into account. The mean residual is +/- 0.67 arc second. The two objects were found by the author in ONS observations. The RunOff values from the initial orbit were R. A.= -0.06, Decl.= +0.03 deg for E1Sf09 and -0.12, -0.06 deg for 5CM197 with the delta-T corrections -0.17 and -0.33 day, respectively. Also the 2002 observations were found by M. Mayer on NEAT data as follows: 5CM197 C1995 12 22.08051 03 29 16.27 +16 29 06.2 20.6 Vi 691 5CM197 C1995 12 22.10238 03 29 15.53 +16 29 12.2 i 691 5CM197 C1995 12 22.12385 03 29 14.73 +16 29 17.5 i 691 PK11A010 KC2002 10 09.35197 02 37 55.17 +01 32 44.2 644 PK11A010 C2002 10 29.32087 02 22 52.08 +00 48 11.5 19.9 N 644 PK11A010 C2002 10 29.34657 02 22 50.72 +00 48 09.1 20.4 N 644 PK11A010 C2002 10 29.38506 02 22 48.76 +00 48 05.9 20.4 N 644 E1Sf09 C2004 02 29.50526 13 00 44.52 +15 09 19.9 20.4 Vc 691 E1Sf09 C2004 02 29.51568 13 00 44.17 +15 09 23.4 20.5 Vc 691 E1Sf09 C2004 02 29.52885 13 00 43.74 +15 09 27.6 20.5 Vc 691 Epoch = 2010 Nov. 20.0 TT T = 2010 Nov. 14.35931 +/- 0.00055 (m.e.) TT Peri. = 44.88929 +/- 0.00024 Node = 73.75616 +/- 0.00016 (2000.0) Inc. = 13.29322 +/- 0.00001 q = 2.2140270 +/- 0.0000013 AU e = 0.4065791 +/- 0.0000004 a = 3.7309555 +/- 0.0000008 AU n' = 0.13676469 +/- 0.00000005 P = 7.207 +/- 0.0000024 years T = 1996 May 31.97952 TT Epoch = 1996 June 6.0 TT Peri. = 45.07023 e = 0.4020253 Node = 73.89371 (2000.0) a = 3.7517001 AU Inc. = 13.27159 n'= 0.13563192 q = 2.2434218 AU P = 7.267 years T = 2003 Aug. 30.21042 TT Epoch = 2003 Aug. 29.0 TT Peri. = 44.99664 e = 0.4040126 Node = 73.88965 (2000.0) a = 3.7418896 AU Inc. = 13.28245 n'= 0.13616567 q = 2.2301192 AU P = 7.238 years The predicted orbit for the 2018 return is as follows: T = 2018 Feb. 2.22129 TT Epoch = 2018 Feb. 11.0 TT Peri. = 45.09425 e = 0.4068398 Node = 73.67979 (2000.0) a = 3.7309591 AU Inc. = 13.29090 n'= 0.13676449 q = 2.2130563 AU P = 7.207 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 1995/ 110116 J24 0.4+ 1.4+ 110209 561 0.6+ 0.8- 951222 691 0.2- 0.2+ 110116 349 1.5- 0.2- 110210 958 1.3- 0.5+ 951222 691 0.6+ 0.3+ 110116 349 0.9- 0.2+ 110210 958 0.2- 0.2- 951222 691 0.3+ 0.2- 110117 H10 0.2+ 0.2- 110210 958 0.8+ 1.5- 2002/ 110117 H10 1.0- 0.2- 110211 958 1.9- 1.2+ 021009 644 0.3- 0.4- 110121 J01 0.8+ 0.0 110211 958 0.6- 0.3- 021029 644 0.2+ 0.7- 110121 J01 0.4+ 0.1+ 110212 212 0.3- 0.2- 021029 644 0.1- 0.8- 110121 J01 0.3+ 0.1+ 110212 958 0.0 0.2+ 021029 644 0.7+ 0.5- 110126 A77 0.8+ 0.1- 110212 958 0.3+ 0.4+ 2004/ 110126 A77 0.0 0.5+ 110218 958 0.3+ 0.5- 040229 691 0.4+ 0.6+ 110126 A77 0.1- 0.3+ 110218 958 0.2+ 1.1- 040229 691 0.0 0.6+ 110127 H10 0.2- 0.1+ 110223 198 1.2+ 0.1- 040229 691 0.4- 0.5+ 110127 H10 0.1- 0.2- 110223 235 0.0 0.3- 2010/ 110127 H10 0.1- 0.2+ 110223 235 0.1- 0.7- 101211 703 1.4- 1.3+ 110127 H10 0.8- 0.7+ 110223 235 0.1- 1.1- 101211 703 0.4+ 0.4- 110127 H10 0.3+ 0.3+ 110224 H15 0.3- 0.2+ 101211 703 0.0 0.3+ 110127 H10 0.0 0.3+ 110224 H15 0.3+ 0.5- 101211 703 0.8- 0.8+ 110127 H10 0.0 0.2- 110224 H15 0.2- 0.5- 2011/ 110128 H15 0.2- 0.4+ 110224 J01 0.2+ 0.1- 110110 703 (2.5- 0.9+) 110128 H15 0.1+ 0.2- 110224 J01 0.2+ 0.2- 110110 703 1.3- 0.5+ 110129 349 0.1- 0.6+ 110225 J01 0.2+ 0.1- 110110 703 1.4- 0.4+ 110129 349 0.6- 1.1+ 110226 703 1.1- 1.7- 110110 703 1.1- 0.2+ 110130 585 0.9- 0.4- 110226 703 1.3- 1.0- 110111 G96 1.5- 0.4+ 110130 585 0.6- 0.5- 110226 703 0.4- 0.8- 110111 G96 1.3- 0.2+ 110130 585 0.4+ 0.5+ 110226 703 1.2- 1.6- 110111 G96 0.6- 0.2+ 110130 585 0.8- 0.4+ 110226 900 1.5+ 0.1+ 110111 H01 0.6+ 0.1+ 110130 212 0.3+ 0.3- 110226 900 1.1- 1.0- 110111 H01 0.7+ 0.0 110130 212 0.1+ 0.6+ 110227 B49 0.5- 0.7- 110111 H01 0.6+ 0.1+ 110130 212 0.9+ 0.3+ 110227 B49 0.7- 0.2- 110111 H01 0.7+ 0.1+ 110131 J01 0.1+ 0.2- 110228 212 0.2- 0.1- 110111 300 1.5+ 0.3- 110131 J01 0.2- 0.4- 110228 212 0.0 0.2- 110111 300 0.9+ 0.8+ 110131 J01 0.0 0.9- 110228 212 0.3+ 0.4- 110111 300 0.1+ 0.0 110131 900 0.3+ 0.1- 110301 958 0.9- 1.0- 110111 300 0.1- 0.0 110131 900 0.3- 0.4- 110301 958 0.7+ 0.1- 110111 300 0.3+ 0.1+ 110131 372 0.7+ 0.1- 110301 958 0.4+ 1.0- 110112 114 0.2+ 0.1- 110131 372 0.1- 0.6+ 110302 H45 0.1+ 0.8- 110112 114 0.1+ 0.2+ 110131 J01 0.3- 0.1+ 110302 H45 0.7+ 0.0 110112 114 0.2- 0.1- 110201 J01 0.0 0.1+ 110302 H45 0.3+ 0.2- 110112 114 1.0- 0.5- 110201 J01 0.4+ 0.2- 110302 H45 0.4+ 0.2- 110112 114 0.8+ 0.2+ 110202 400 0.6- 0.9- 110302 H45 1.0+ 0.2- 110112 J04 0.0 0.1+ 110202 400 0.1- 0.4- 110302 H45 0.5+ 0.0 110112 J04 0.1+ 0.1+ 110202 400 0.4+ 0.2- 110302 215 1.8+ 1.0+ 110112 J04 0.0 0.1+ 110203 A77 0.4+ 0.0 110303 958 1.9- 0.4- 110112 J04 0.1+ 0.2+ 110203 A77 0.3- 0.0 110303 958 0.1+ 1.9+ 110112 291 0.9- 0.3+ 110203 A77 0.6- 0.3- 110304 958 0.6+ 0.5- 110112 291 0.4- 0.3+ 110203 900 0.7- 0.2- 110304 958 0.5+ 0.3- 110112 291 0.6- 0.3+ 110203 900 0.5- 0.6- 110305 958 (2.5+ 0.3+) 110112 H36 1.7- 0.8- 110204 J40 0.5- 1.8+ 110306 958 1.7- 1.8- 110112 H36 1.6- 0.3+ 110204 J40 0.8- 1.3+ 110306 958 (2.7- 1.7+) 110112 H36 1.9- 0.5+ 110204 J40 0.9- 0.3- 110306 958 (2.8- 2.9-) 110112 372 0.2+ 0.8+ 110205 H10 0.1- 0.2+ 110307 958 1.3- 0.4- 110112 372 0.2- 0.3+ 110205 H10 0.4- 0.0 110307 958 0.7- 1.2+ 110112 372 0.8+ 0.1- 110205 H10 0.6- 0.0 110307 561 0.8+ 0.3- 110112 372 0.2- 0.6- 110205 H10 0.9- 0.8- 110307 561 0.7+ 0.1- 110113 J38 0.1+ 0.2- 110205 A71 1.0- 0.3- 110307 561 0.9+ 0.2- 110113 J38 0.1- 0.1+ 110205 A71 1.1- 0.3- 110307 561 0.8+ 0.1- 110113 J38 0.9+ 0.3+ 110206 958 0.4- 0.5- 110307 561 0.7+ 0.3- 110113 H10 0.2+ 0.2+ 110206 958 0.5+ 0.2+ 110307 561 0.7+ 0.3- 110113 H10 0.1- 0.4+ 110206 958 0.5+ 0.3- 110308 958 (2.6- 2.4-) 110113 H10 0.4+ 0.1+ 110207 958 0.3+ 0.9- 110308 958 1.6+ 1.6+ 110113 H10 0.0 0.0 110207 958 (2.0- 0.1+) 110308 561 1.1+ 0.1- 110113 H10 0.4- 0.9+ 110207 958 0.4+ 0.5+ 110308 561 0.9+ 0.2- 110113 H06 0.4+ 0.1+ 110208 704 0.4+ 0.2- 110308 561 1.0+ 0.2- 110113 H10 0.5- 0.6+ 110208 704 0.4+ 0.2- 110308 561 0.9+ 0.2- 110113 H06 0.4+ 0.4+ 110208 704 1.7- 0.0 110308 561 1.0+ 0.2- 110113 H06 0.3+ 0.4+ 110208 704 0.9- 0.1+ 110308 561 1.0+ 0.1- 110113 H10 0.0 0.0 110208 704 1.3+ 0.9+ 110310 958 0.1- 1.8- 110114 204 0.4- 0.1+ 110208 561 0.8+ 0.4- 110311 958 1.2+ 0.4+ 110114 204 0.2- 0.1+ 110208 561 0.5+ 0.3- 110311 958 1.5+ 1.0+ 110116 B49 0.1- 1.4+ 110208 561 0.7+ 0.3- 110311 704 0.1- 0.3+ 110116 B49 0.7- 0.7+ 110208 561 0.7+ 0.3- 110311 704 1.5+ 1.9+ 110116 B49 (2.0- 1.2+) 110208 561 0.6+ 0.5- 110311 704 0.9+ 0.3- 110116 J47 0.1- 1.1+ 110208 561 0.7+ 0.6- 110311 704 0.9+ 0.1- 110116 J47 0.0 1.1+ 110208 A71 1.4- 0.1+ 110311 704 0.5+ 1.0+ 110116 213 0.4+ 0.1+ 110209 A71 0.3- 0.1+ 110311 118 0.4+ 0.1+ 110116 J47 0.1+ 1.1+ 110209 958 0.7+ 0.2+ 110311 118 0.1- 0.1+ 110116 A77 1.3- 0.4+ 110209 958 1.5+ 0.7- 110312 958 (2.5- 0.1+) 110116 213 0.3+ 0.2+ 110209 958 0.3- 0.7- 110312 958 1.4- 0.5- 110116 A77 0.2- 0.5+ 110209 561 0.6+ 0.7- 110314 958 1.6- 0.1- 110116 A77 0.3+ 0.3+ 110209 561 0.9+ 0.6- 110314 958 (1.4- 2.3+) 110116 213 0.0 0.3+ 110209 561 0.9+ 0.5- 110314 958 (1.2+ 2.3-) 110116 J24 0.0 0.9+ 110209 561 0.8+ 0.4- 110116 J24 0.1+ 0.7+ 110209 561 0.6+ 0.6- ( ) -------- Rejected Obs.

Associate of Central Bureau for Astronomical Telegrams Syuichi Nakano 2011 Mar. 24

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