Nakano Note (Nakano wa Kangaeru noda) NK 2506 100P/Hartley 1

The following improved orbital elements, by T. Kobayashi, are from 167 observations 1985 to 2010, 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 +/- 0.62 arc second. See the previous orbits in NK 713, NK 921 and NK 1328 (= MPC 56805). Epoch = 2009 Nov. 25.0 TT T = 2009 Dec. 6.14751 +/- 0.00018 (m.e.) TT Peri. = 181.70795 +/- 0.00010 Node = 37.84476 +/- 0.00004 (2000.0) Inc. = 25.65422 +/- 0.00003 q = 1.9824082 +/- 0.0000027 AU e = 0.4186340 +/- 0.0000007 a = 3.4099142 +/- 0.0000070 AU n' = 0.15652687 +/- 0.00000058 P = 6.297 +/- 0.0000187 years A1 = +0.235 +/- 0.017 A2 = -0.00290 +/- 0.00072 T = 1985 June 11.65127 TT Epoch = 1985 June 24.0 TT Peri. = 174.14399 e = 0.5120765 Node = 41.06311 (2000.0) a = 3.1557950 AU Inc. = 24.93217 n'= 0.17580892 q = 1.5397867 AU P = 5.606 years T = 1991 May 17.67546 TT Epoch = 1991 May 24.0 TT Peri. = 178.75614 e = 0.4506913 Node = 38.94897 (2000.0) a = 3.3102904 AU Inc. = 25.72461 n'= 0.16364583 q = 1.8183712 AU P = 6.023 years T = 1997 May 28.51370 TT Epoch = 1997 June 1.0 TT Peri. = 178.93132 e = 0.4506075 Node = 38.90306 (2000.0) a = 3.3103506 AU Inc. = 25.72322 n'= 0.16364136 q = 1.8186820 AU P = 6.023 years T = 2003 Aug. 18.01329 TT Epoch = 2003 Aug. 29.0 TT Peri. = 181.53101 e = 0.4191427 Node = 37.89215 (2000.0) a = 3.4082569 AU Inc. = 25.66365 n'= 0.15664105 q = 1.9797110 AU P = 6.292 years The predicted orbit for the 2016 return is as follows: T = 2016 Apr. 2.02242 TT Epoch = 2016 Apr. 2.0 TT Peri. = 181.86144 e = 0.4134793 Node = 37.72505 (2000.0) a = 3.4279401 AU Inc. = 25.58917 n'= 0.15529384 q = 2.0105579 AU P = 6.347 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 1985/ 970306 118 1.0- 0.4+ 030227 246 0.0 0.5- 850613 413 (3.5+ 3.9-) 970308 402 0.5- 0.4- 030227 246 1.2- 0.1- 850613 413 (5.3- 6.4+) 970308 402 0.3- 0.2- 030227 246 0.7+ 0.8- 850613 413 (1.5+ 6.9-) 970308 402 0.5- 0.3- 030227 246 0.8+ 0.3- 850613 413 0.0 1.1- 970311 360 0.3+ 0.2+ 030227 246 0.3+ 0.7- 850613 413 (2.7+ 3.0-) 970311 360 0.3+ 0.2+ 030227 246 0.2+ 0.3- 850613 413 (1.1- 1.7+) 970317 118 1.0- 0.0 030227 246 0.4+ 0.3- 850613 413 0.8- 0.2- 970317 118 0.9- 0.4- 030227 246 0.2+ 0.3- 850621 413 (1.4+ 1.8-) 970331 118 0.3- 0.2- 030311 360 (1.6- 0.4+) 850621 413 0.1- 0.6+ 970331 897 0.4+ 1.1- 030311 360 1.1- 0.3+ 850621 413 (1.6- 3.4+) 970331 897 0.7+ 0.8- 030311 360 0.9+ 0.5+ 850710 413 (1.2+ 2.6-) 970402 118 0.6- 0.2+ 030320 204 0.7- 0.5- 850710 413 (1.2+ 1.8-) 970402 118 0.1+ 0.0 030320 204 0.5+ 0.3+ 850727 675 (1.3- 2.0+) 970407 360 0.2- 0.7+ 030324 704 0.3+ 0.5- 850727 675 1.4- 0.6+ 970407 360 0.3- 0.7+ 030324 704 0.4- 0.8+ 850728 675 (1.8- 0.0 ) 970409 118 0.7+ 0.4+ 030324 704 0.6- 0.9+ 850728 675 0.9- 0.0 970409 118 0.2+ 1.0+ 030324 704 0.3+ 1.4+ 850728 675 0.5- 0.1- 970409 118 0.4+ 0.6+ 030325 204 0.6+ 0.4- 850729 675 0.5+ 0.5- 970411 867 0.5- 0.1- 030325 204 0.2+ 0.0 850729 675 0.2- 0.5- 970411 867 0.3- 0.1+ 030325 204 0.2+ 0.9- 850814 474 1.1+ 0.9+ 970412 360 0.5- 0.1- 030326 360 0.7+ 0.5- 850814 474 0.5+ 0.1- 970412 360 0.6- 0.1- 030326 360 0.4+ 0.2+ 1991/ 970415 691 0.1+ 0.5- 030421 170 (2.0+ 1.4+) 910312 675 0.2- 1.1- 970415 691 0.2+ 0.6- 030421 170 (2.0+ 1.3+) 910312 675 0.7- 0.1- 970415 691 0.2+ 0.5- 030421 170 (2.2+ 1.3+) 910315 103 (4.5- 3.0+) 970424 897 0.8+ 0.1- 030421 170 (2.3+ 0.6+) 910316 474 1.1- 0.3+ 970424 897 1.2+ 0.7+ 030421 170 (2.3+ 0.2+) 910316 474 0.2+ 1.4- 970425 402 0.4+ 0.2+ 030423 213 (2.1+ 1.0+) 910316 413 (3.4- 2.4+) 970425 402 0.4+ 0.0 030423 213 0.6- 0.9- 910318 402 0.0 1.1- 970425 402 0.3+ 0.3+ 030423 213 (2.7- 1.3-) 910318 402 1.1- 0.7+ 970428 360 0.3- 0.2+ 030430 213 0.6+ 1.0+ 910320 372 1.1- 0.8- 970428 360 0.1- 0.4+ 030430 213 (0.4+ 2.6+) 910411 657 (0.7+ 1.5+) 970502 118 1.0+ 0.1+ 030430 213 0.4+ 0.9+ 910412 657 (2.1- 1.4-) 970502 118 0.4+ 0.2+ 030430 442 (1.7- 2.8+) 910412 657 0.8- 1.0- 970503 954 0.2+ 0.1- 030502 360 1.2+ 0.4+ 910414 675 (1.8- 1.0+) 970503 954 0.2+ 0.3- 030502 360 1.2+ 0.5+ 910414 400 0.6- 0.1+ 970503 954 0.4+ 0.1- 030503 213 1.0+ 0.5+ 910414 400 0.2+ 1.0- 970504 563 (2.6+ 0.8+) 030520 H41 (5.1- 12.4+) 910416 675 0.9- 0.7- 970504 563 (2.7+ 3.1+) 030523 360 0.1+ 0.2+ 910419 657 (1.8- 1.3-) 970504 563 (1.9+ 0.3-) 030523 360 0.6+ 0.2+ 910420 675 0.1- 0.8- 970504 563 (1.6+ 0.6-) 030528 704 (2.0+ 0.8+) 910511 801 0.4- 0.1+ 970509 897 1.3+ 0.5- 030528 704 (2.5+ 0.2-) 910511 801 0.3- 0.0 970509 897 0.5- 0.3- 030528 704 1.0+ 1.0+ 910512 801 0.9- 0.1- 970514 954 0.1- 0.3+ 030528 704 0.2- 1.3+ 910512 801 0.4- 0.1+ 970514 954 0.3- 0.2+ 030604 703 (2.5+ 0.1-) 910515 675 (1.6+ 1.3+) 970515 118 0.2+ 0.1+ 030604 703 (1.7+ 0.9-) 910515 675 0.8+ 0.4+ 970515 118 0.0 0.1+ 030604 703 (3.1+ 0.4-) 910517 675 0.8+ 0.3- 970521 954 (3.0+ 0.2+) 030604 703 (2.2+ 0.9-) 910517 675 (1.7+ 1.2+) 970522 954 (3.8+ 1.1-) 030605 360 1.2+ 0.4+ 910609 801 (1.1- 2.0-) 970522 954 (4.7+ 0.3-) 030605 360 1.4+ 0.4+ 910609 801 (3.6+ 0.4-) 970526 360 0.4+ 0.6- 030611 620 0.7+ 1.2+ 910614 801 1.3+ 0.1+ 970526 360 0.7+ 0.7- 030619 620 0.8+ 1.4+ 910614 801 0.3+ 0.8+ 970527 897 (2.8+ 0.2+) 030619 620 0.7+ 1.3+ 1997/ 970602 691 0.1- 0.1- 030622 448 0.8+ 0.6+ 970112 118 0.9- 0.2+ 970602 691 0.2+ 0.0 030622 448 1.5+ 1.1+ 970112 118 0.7- 0.6+ 970602 691 0.2+ 0.2- 030622 448 1.0+ 0.9+ 970113 118 0.5- 0.6+ 970610 118 1.3+ 0.6- 2010/ 970113 118 0.6- 0.4+ 970610 118 (1.6+ 0.3-) 100416 C51 0.3- 0.2- 970116 402 0.8- 0.7+ 970629 360 0.5+ 0.1- 100416 C51 0.4+ 0.2- 970116 402 0.4- 0.5+ 970629 360 0.3+ 0.3- 100416 C51 0.4+ 0.6- 970116 402 0.4+ 0.6+ 2003/ 100416 C51 0.4+ 0.7- 970118 360 0.6- 1.0- 030115 H43 (0.7+ 9.4+) 100416 C51 0.7+ 0.3+ 970118 360 (1.5- 0.1+) 030124 H43 (1.8- 3.6+) 100417 C51 0.2- 1.0- 970119 360 0.1+ 0.0 030202 360 0.1+ 0.1+ 100417 C51 0.7+ 0.1+ 970119 360 0.8- 0.5+ 030202 360 1.0- 0.1+ 100417 C51 0.6- 0.4- 970120 402 1.3- 0.3+ 030202 360 0.1- 0.1+ 100417 C51 0.0 0.7- 970120 402 1.0- 1.0+ 030205 H43 (3.2+ 6.2+) 100418 C51 0.2- 0.9- 970120 402 1.0- 0.4+ 030208 H41 (1.6- 6.3+) 100418 C51 0.1- 1.2- 970204 360 0.1+ 0.3- 030212 H43 (1.4+ 6.9+) 100418 C51 (1.6+ 0.2+) 970204 360 0.4- 0.0 030212 H43 (2.2- 6.3+) 100512 415 0.8- 0.7- 970208 046 0.5- 0.6- 030227 246 0.1+ 0.2+ 100512 415 (2.7- 3.1-) 970208 046 0.3- 0.7- 030227 246 0.5- 0.7+ 100711 829 0.8+ 0.2+ 970208 046 0.4- 0.8- 030227 246 0.6- 0.2+ 100711 829 0.6- 0.5- 970305 360 0.2- 0.1- 030227 246 0.3- 0.3+ 100711 829 0.5+ 0.5- 970305 360 0.0 0.0 030227 246 1.0- 0.1- 100712 829 0.7+ 1.2+ 970306 118 0.6- 0.4+ 030227 246 0.4- 0.6+ 100712 829 0.8- 0.6- ( ) -------- Rejected Obs.

Associate of the CBAT Syuichi Nakano 2013 June 12

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