Nakano Note (Nakano wa Kangaeru noda) NK 2101 27P/Crommelin

The following improved orbital elements, by S. Nakano, are from 253 observations 1873 to 2011, including planetary perturbations by Mercury to Neptune and three minor planets, Ceres, Pallas, Vesta, and non-gravitational effect of style II. See the prediction in NK 1607. The parameter A1 was assumed as same value in NK 1607 (A1 = -0.000143). The mean residual is +/- 1.86 arc seconds. The delta-T correction to the prediction in NK 1607 (HICQ 2011/2012) was +0.006 day with RunOff values -9" for R. A. and -1" for Decl. on 2011 May 12 observation. Epoch = 2011 July 18.0 TT T = 2011 Aug. 3.80886 +/- 0.00016 (m.e.) TT Peri. = 195.98227 +/- 0.00008 Node = 250.63646 +/- 0.00006 (2000.0) Inc. = 28.95674 +/- 0.00005 q = 0.7478714 +/- 0.0000006 AU e = 0.9187476 +/- 0.0000001 a = 9.2043032 +/- 0.0000021 AU n' = 0.03529537 +/- 0.00000001 P = 27.925 +/- 0.0000094 years A1 = -0.0001 assumed A2 = -0.000269 +/- 0.000006 [ T = 1818 Feb. 6.76073 TT Epoch = 1818 Feb. 20.0 TT Peri. = 195.60063 e = 0.9184793 Node = 252.05725 (2000.0) a = 9.1543281 AU Inc. = 29.17146 n'= 0.03558479 q = 0.7462673 AU P = 27.697 years ] [ T = 1845 Sept.29.75005 TT Epoch = 1845 Sept.26.0 TT Peri. = 195.81192 e = 0.9187812 Node = 251.60953 (2000.0) a = 9.2424059 AU Inc. = 28.87299 n'= 0.03507733 q = 0.7506573 AU P = 28.098 years ] T = 1873 Dec. 2.42003 TT Epoch = 1873 Nov. 18.0 TT Peri. = 196.02758 e = 0.9190735 Node = 251.58643 (2000.0) a = 9.2363380 AU Inc. = 28.79439 n'= 0.03511190 q = 0.7474641 AU P = 28.070 years [ T = 1901 May 14.80224 TT Epoch = 1901 May 16.0 TT Peri. = 195.92660 e = 0.9190243 Node = 251.28441 (2000.0) a = 9.1213636 AU Inc. = 29.02534 n'= 0.03577787 q = 0.7386090 AU P = 27.548 years ] T = 1928 Nov. 4.96692 TT Epoch = 1928 Nov. 10.0 TT Peri. = 195.88193 e = 0.9190484 Node = 251.07321 (2000.0) a = 9.2032904 AU Inc. = 28.89397 n'= 0.03530119 q = 0.7450209 AU P = 27.920 years T = 1956 Oct. 25.20726 TT Epoch = 1956 Oct. 14.0 TT Peri. = 195.96900 e = 0.9191691 Node = 251.13676 (2000.0) a = 9.1965765 AU Inc. = 28.88021 n'= 0.03533986 q = 0.7433671 AU P = 27.889 years T = 1984 Feb. 20.17125 TT Epoch = 1984 Mar. 1.0 TT Peri. = 195.84307 e = 0.9191953 Node = 250.89927 (2000.0) a = 9.0900818 AU Inc. = 29.10121 n'= 0.03596271 q = 0.7345214 AU P = 27.406 years The predicted orbit for the 2039 return is as follows: T = 2039 May 27.24691 TT Epoch = 2039 May 12.0 TT Peri. = 195.97291 e = 0.9191343 Node = 250.67223 (2000.0) a = 9.1564357 AU Inc. = 29.32559 n'= 0.03557250 q = 0.7404416 AU P = 27.707 years The following residuals in seconds of arc are from the above orbital elements: (two decimals in units of degrees) Date Code Residual(") Date Code Residual(") Date Code Residual(") 1818/ Not included 840208 168 0.7+ 1.7- 840302 330 0.5+ 1.3+ 180223 500(0.67- 0.76-) 840208 168 2.2+ 2.0- 840302 330 3.0+ 2.4- 180224 500(0.52- 1.79-) 840208 168 1.4+ 0.5- 840302 323 2.0+ 0.7- 180226 500(0.13- 1.19-) 840208 168 3.3+ 2.2- 840302 168 0.4+ 2.0- 180227 500(0.34+ 1.23-) 840208 056 1.7+ 0.7+ 840302 168 0.7+ 0.3- 1873/ Included < 6".5 840208 493 2.7+ 0.6+ 840302 114 0.3+ 2.6+ 731111 522 4.9- 1.3- 840208 801 3.0+ 0.6+ 840303 051 0.5+ 2.5+ 731112 534(12.8- 3.2+) 840209 022 (0.6- 5.4+) 840303 801 3.1+ 0.3+ 731112 516(16.4- 1.3+) 840209 022 (4.4- 1.4+) 840304 330 3.2+ 0.1+ 731112 545 (7.8- 1.7+) 840210 168 0.5- 1.5+ 840304 026 2.2+ 1.2+ 731112 539 (8.3- 4.3+) 840210 168 1.4+ 0.8+ 840304 022 (5.4- 3.4+) 731112 522 6.5- 4.1+ 840210 168 (0.6+ 6.7+) 840304 022 1.7- 1.7- 731112 545 0.2+ 5.0- 840210 168 (3.0- 4.5+) 840304 026 (4.7+ 1.3+) 731112 539 3.6- 1.2- 840210 022 3.2+ 1.3+ 840305 190 (4.7+ 0.5+) 731113 545 (8.8- 1.7-) 840210 022 0.9+ 3.3+ 840305 022 0.0 0.8+ 731113 534 (7.2- 3.7-) 840211 114 0.4+ 2.3+ 840305 022 (5.9+ 0.1+) 731113 545(10.3- 1.9-) 840211 114 2.6+ 0.2- 840305 026 2.3+ 0.8- 731113 522 0.6- 3.1- 840211 069 0.9+ 0.9+ 840306 688 3.0+ 1.7+ 731113 520(18.2- 2.6-) 840211 069 2.1+ 0.3+ 840306 688 0.6+ 2.3+ 731114 522 1.0- 4.0- 840211 493 2.0+ 0.7+ 840306 688 2.8+ 1.2+ 731114 786 (3.8- 7.7-) 840212 024 (3.5- 1.9+) 840306 688 2.8+ 0.4+ 731115 545 (7.8- 4.9+) 840212 493 2.9+ 0.4+ 840306 323 1.7+ 0.2- 1928/ Included < 5".0 840213 168 (9.7+ 2.7+) 840306 114 2.4+ 0.5+ 281124 662 0.3+ 2.1+ 840213 168 (1.7+ 3.6-) 840306 046 0.2+ 2.2+ 281125 754 (7.5+ 1.1+) 840213 168 (2.1+ 3.5+) 840306 046 (6.0- 3.5+) 281125 662 2.9- 2.4+ 840213 026 2.0+ 0.8+ 840306 022 0.2- 0.7+ 281130 078 (2.3- 6.4+) 840214 069 0.6+ 0.8+ 840306 022 (4.0- 1.0+) 281201 078 3.1+ 4.3+ 840214 069 2.1+ 0.3- 840306 022 1.2- 0.3+ 281205 754 1.2- 2.6+ 840214 069 (4.5+ 2.3+) 840306 801 2.4+ 1.1- 281206 754 (5.5+ 1.6+) 840215 069 1.7+ 2.7- 840307 051 0.8+ 0.1+ 281208 078 (1.3+ 7.6+) 840215 069 (5.4- 1.5+) 840308 168 (0.2+ 6.9+) 281208 754 0.1- 4.3+ 840216 069 2.7+ 0.1- 840309 323 1.6+ 2.4+ 281209 754 2.5- 2.4+ 840217 069 1.2+ 0.2+ 840309 323 (3.8+ 0.7-) 281210 754 1.1- 4.6+ 840217 069 (7.5+ 0.0 ) 840309 168 1.2- 1.4+ 281212 078 (8.7+ 8.3+) 840217 069 2.6+ 0.4- 840310 102 (3.4- 5.9+) 281216 078 4.5+ 1.6+ 840218 168 3.1+ 1.5- 840311 675 2.9+ 0.2- 1956/ Included < 4".0 840218 168 1.4+ 0.0 840311 190 3.3+ 2.1+ 560930 056 (8.0+ 8.1+) 840218 061 (7.3- 6.4+) 840311 190 0.0 2.6+ 560930 056(11.9+ 2.7-) 840218 061 (4.5- 5.5-) 840311 022 1.1- 2.6+ 561001 056 (7.5+ 1.1-) 840218 061 (6.0- 0.3-) 840311 022 (2.1+ 6.0+) 561001 056 3.6+ 0.5+ 840218 061 2.9- 3.0- 840312 323 (4.4- 8.5+) 561002 056 (3.5+ 4.8+) 840218 046 0.3- 1.3+ 840313 323 (3.5+ 1.3-) 561002 056 3.1+ 1.6+ 840218 046 1.1+ 0.5+ 840313 210 (7.0+ 3.0-) 561003 754 2.7+ 0.4+ 840218 017 3.3- 2.5+ Y 840313 210 (7.9+ 7.5-) 561003 754 3.6+ 1.4+ 840218 017 (3.6+ 2.0+)Y 840314 051 (3.5+ 0.9+) 561005 754 (5.6+ 4.7-) 840218 494 2.9+ 0.9+ 840320 809 3.4+ 0.4+ 561005 754 2.3+ 0.1- 840219 168 (5.1+ 3.1+) 840320 809 (4.3+ 0.1+) 561006 801 2.3+ 0.0 840219 168 2.0- 0.1- 840320 323 2.0+ 0.7- 561006 801 (4.5+ 1.6-) 840219 017 2.2- 3.2+ 840320 323 (5.5+ 2.2+) 561008 056 2.1+ 1.0- 840219 017 1.1- 1.7+ Y 840320 190(10.0+ 3.2+) 561008 801 1.0+ 2.4+ 840220 707 (5.4+ 0.1+) 840321 675 3.2+ 0.8- 561008 754 (5.2+ 2.3+) 840220 372 0.9+ 0.9+ 840321 323 (3.8+ 1.4+) 561008 754 3.7+ 1.3+ 840220 372 1.2+ 0.8+ 840322 675 2.8+ 0.2- 561013 754 (1.6+ 4.5+) 840220 323 (4.0+ 0.6-) 840322 210 (5.2- 1.4-) 561013 754 0.8+ 3.5+ 840220 186 (6.8+ 5.7+) 840323 688 (5.7+ 2.6+) 561016 330 (4.2+ 3.2+) 840221 688 (3.6+ 3.7-) 840323 688 (3.8+ 2.5+) 561016 330 (5.7+ 3.0+) 840221 688 3.2+ 0.7- 840323 688 (5.4+ 0.9+) 561017 754 1.5+ 2.9+ 840221 688 0.8- 1.4+ 840323 688 (7.9+ 1.0+) 561017 754 3.4+ 1.3+ 840221 102 1.5+ 1.4- Y 840323 323 (0.4- 6.5+) 561017 330 3.6+ 2.6+ 840221 046 2.0+ 0.8- 840323 210 (4.8+ 7.1+) 561017 330 3.7+ 1.0+ 840221 046 2.1+ 0.9- 840324 808 (0.6+ 3.6+) 561021 330 3.4+ 1.8+ 840222 675 2.6+ 0.6+ 840324 210 1.8+ 0.3- 561021 330 2.4+ 2.5+ 840222 168 (3.8+ 1.0-) 840325 323 (4.8+ 3.5-) 561107 076 3.3+ 3.9+ 840222 168 (6.0+ 0.2-) 840325 210 (8.0+ 25.1+) 561110 822 2.3+ 3.7+ 840222 168 1.7+ 0.3- 840325 071(11.2- 10.4+) 561110 822 (1.5+ 5.2+) 840222 168 3.2+ 0.7+ 840326 808 (8.3+ 0.0 ) 561112 330 (1.8+ 4.4+) 840222 102 (3.5- 0.3+) 840326 413 1.8+ 0.4- 561112 330 2.1+ 3.1+ 840222 051 0.9+ 3.1+ 840326 413 1.6+ 0.1+ 1983/ Included < 3".5 840222 051 (0.1- 4.9+) 840326 372 3.2+ 0.4+ 830809 493 1.1- 0.3+ 840222 051 3.4- 3.4+ 840326 381 (4.7+ 3.0+) 830809 493 0.8- 1.5+ 840223 190 1.4+ 0.7+ 840326 413 0.0 1.6- 830810 493 0.2- 0.8+ 840223 123 3.2+ 3.2+ 840326 323 (3.6+ 1.3+) 830813 695 0.5- 0.4+ 840223 102 (4.9+ 0.4-)Y 840326 323 2.3+ 0.4+ 830818 493 1.4- 1.0+ 840223 069 (5.6+ 1.2+) 840326 210 (4.6+ 1.9+) 830818 493 0.1- 0.3+ 840223 069 0.8+ 0.5- 840326 210 0.7- 0.4- 830830 675 0.4- 0.8+ 840224 323 0.8+ 0.2+ 840327 811 (5.2- 3.6+) 830831 675 0.5- 0.1- 840224 186 (2.6- 6.2+) 840327 323 2.7+ 1.1- 830904 500 0.1- 1.0+ 840224 123 2.3+ 1.3+ 840328 801 (6.8+ 5.4+) 830904 500 1.2- 1.0+ 840224 102 (6.2- 7.7+)Y 840328 330 (4.8- 3.7-) 830904 500 0.0 0.8+ 840224 114 1.1+ 1.3+ 840328 330 (6.4- 0.3+) 830927 493 1.6- 0.0 840224 123 1.7- 2.5+ 840328 330 (4.5+ 0.3-) 831027 707 0.8- 0.3+ 840224 102 1.2+ 0.2+ Y 840328 114 (6.2+ 4.7+) 1984/ Included < 3".5 840224 114 0.4- 2.0+ 840328 071 (1.1+ 8.0+) 840101 801 0.2- 2.2+ 840224 123 0.8+ 2.4+ 840329 323 (4.1+ 3.7-) 840103 707 1.1- 0.2- 840225 675 (3.9+ 1.4-) 840329 119 (5.2+ 3.3+) 840104 372 (8.1- 5.7+)Y 840225 168 0.3+ 1.9+ 840329 095 1.4- 1.5- 840106 190(12.6+ 3.5+) 840225 168 1.4+ 0.7+ 840329 095 0.8- 0.9- 840120 017 (0.0 3.6+)Y 840225 168 3.0+ 0.4+ 840330 323 (3.9+ 1.1+) 840122 494 0.0 1.4- 840225 123 2.7+ 0.3+ 840330 119 (6.2+ 0.3+) 840122 494 0.7+ 0.9- 840225 123 3.1+ 0.3- 840330 119(10.7+ 7.8+) 840123 707 (3.5+ 2.1+) 840225 095 3.3+ 0.0 840330 114 (5.0+ 1.2-) 840124 381 (4.4+ 1.0+) 840225 095 1.1+ 0.3+ 840330 095 2.5+ 0.8+ 840127 372 3.1+ 1.0+ Y 840225 123 0.8+ 0.7+ 840330 095 0.2+ 1.0+ 840127 168 (3.7+ 0.6-) 840226 095 1.9+ 0.4+ 840331 119 (9.3+ 2.2+) 840129 168 3.3- 0.2+ 840226 095 3.2+ 0.6+ 840331 119 (4.9+ 1.5+) 840129 168 0.0 0.0 840227 323 3.1+ 1.1+ 840401 808 (3.6+ 3.2+) 840130 168 (4.3+ 3.4+) 840227 123 1.9+ 2.1+ 840401 474 2.0+ 0.2- 840130 168 (6.0- 7.2+) 840227 114 2.8+ 1.4+ 840401 474 3.3+ 2.0- 840130 168 (5.7+ 3.8+) 840227 123 0.9- 0.4+ 840402 801 (2.9+ 3.8+) 840130 056 2.5+ 2.4- 840227 102 (2.7- 3.9-)Y 840403 808 (5.0- 4.5+) 840131 801 0.8- 1.9+ 840227 123 2.6+ 2.5+ 840403 323 0.0 0.7- 840201 095 (5.1- 1.1+) 840227 102 (0.7+ 4.3+) 840403 114 (4.4+ 1.7+) 840201 493 2.6+ 1.1+ 840227 102 (4.0+ 3.5+) 840404 323 1.4+ 1.5+ 840201 493 2.3+ 1.8+ 840227 114 0.2- 0.6+ 840405 323 1.6+ 0.9+ 840201 801 0.0 0.2+ 840227 102 0.2+ 2.5+ 840406 323 3.1+ 0.6+ 840202 114 0.3+ 1.8+ 840227 102 (5.1+ 5.2+) 840406 323 2.0+ 0.2- 840202 095 (0.8+ 5.2+) 840227 069 (3.6+ 0.3-) 840408 675 1.8+ 1.3+ 840202 095 1.5+ 1.3+ 840227 046 (5.1- 3.4+) 840409 323 (5.4+ 0.7+) 840202 095 1.6+ 1.5+ 840228 323 0.8+ 0.3- 840418 323 (8.0+ 6.4+) 840202 095 (5.0- 4.3+) 840228 123 1.9+ 0.0 840421 675 0.3- 0.1+ 840203 168 (5.4- 1.0-) 840228 114 (6.5+ 2.8-) 840423 474 0.2- 2.6+ 840203 168 1.9- 0.6+ 840228 123 1.1+ 0.6+ 840423 474 2.8- 2.9+ 840203 168 0.2+ 1.8+ 840228 114 2.8+ 1.0+ 840426 323 (4.1+ 10.3+) 840203 168 (5.3- 1.9+) 840228 051 0.1- 2.5+ 840427 323 2.5- 0.6+ 840203 114 (3.7+ 0.2+) 840228 051 3.2+ 0.9- 840503 323 (0.7+ 14.3+) 840203 095 2.2- 2.0+ 840229 805 2.8+ 2.1- 840507 675 3.0- 0.5+ 840203 095 2.6- 0.8+ 840229 805 1.1+ 0.4- 840526 474 1.6- 0.3+ 840203 095 (5.7- 2.2+) 840229 805 0.7+ 0.6- 840527 474 1.4- 1.0+ 840204 186 1.0- 3.0+ 840229 372 1.0+ 0.5+ 840527 474 2.6- 0.6+ 840204 114 2.2+ 0.6- 840229 372 (3.6+ 1.8+) 2011/ 840205 114 0.9+ 0.2+ 840229 372 3.2+ 0.2+ 110512 372 1.2- 0.2- 840205 493 3.1+ 0.3+ 840229 372 2.1+ 0.0 110512 372 1.2- 0.1+ 840206 168 0.8- 2.9+ 840229 372 1.7+ 2.2+ 110529 H15 1.2- 0.7+ 840206 168 1.7- 3.2- 840229 372 2.8+ 0.9+ 110529 H15 0.8- 0.5+ 840206 168 (4.2- 1.8-) 840229 372 1.9+ 0.6+ 110529 H15 0.8- 1.1+ 840206 168 3.1- 2.8- 840229 330 2.0+ 0.1- 110530 H15 1.0- 1.2+ 840206 095 1.7+ 0.8+ 840229 330 (6.2+ 3.3+) 110530 H15 0.9- 0.9+ 840206 095 1.1+ 2.3+ 840229 323 0.6+ 0.5+ 110530 H06 (0.7- 2.1+) 840206 022 (5.2+ 0.9+) 840229 168 (7.4+ 1.9+) 110530 H15 0.9- 0.9+ 840206 022 (6.5+ 2.6+) 840229 168 (7.0+ 1.1+) 110530 H06 (1.0- 2.1+) 840207 330 (1.4+ 5.3+) 840229 168 1.2+ 0.4+ 110531 H15 0.2- 1.3- 840207 330 2.1+ 1.2+ 840301 323 0.7+ 1.0+ 110531 H15 0.4+ 1.0+ 840207 168 3.0+ 0.5- 840301 323 1.6+ 3.2+ 110531 H15 1.1- 1.3+ 840207 168 (3.1+ 4.8+) 840301 168 1.3- 1.5- 110603 D95 (1.6- 2.0+) 840207 168 0.6+ 0.2- 840301 168 1.0- 2.2- 110603 D95 0.4- 1.2+ 840207 168 0.8+ 2.0- 840301 061 (6.5- 1.2+) 110603 349 0.4+ 1.1+ 840207 168 1.1+ 2.0+ 840301 061 3.3- 0.8- 110603 D95 (0.2- 2.2+) 840207 168 (0.1+ 4.3-) 840301 061 0.9- 3.2+ 110603 349 0.6- 0.2+ 840207 186 (0.0 6.0+) 840302 801 (4.0+ 1.8+) 110605 H06 (2.4- 0.5+) 840208 330 (8.7- 0.5+) 840302 330 2.1- 0.4+ 110605 H06 (2.2- 0.5+) ( ) -------- Rejected Obs.

Associate of Central Bureau for Astronomical Telegrams Syuichi Nakano 2011 June 10

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