OAA computing section circular NK 921 100P/Hartley 1

The following improved orbital elements, by S. Nakano, are from 1 observations 1985 to 2003, 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 +/- 0.71 arc second. See a prediction on NK 713 (= MPC 40670), also NK 505 and NK 607. Epoch = 2003 Aug. 29.0 TT T = 2003 Aug. 18.01340 +/- 0.00067 (m.e.) TT Peri. = 181.53107 +/- 0.00017 Node = 37.89215 +/- 0.00003 (2000.0) Inc. = 25.66358 +/- 0.00003 q = 1.9797099 +/- 0.0000011 AU e = 0.4191431 +/- 0.0000002 a = 3.4082574 +/- 0.0000006 AU n' = 0.15664102 +/- 0.00000004 P = 6.292 +/- 0.0000018 years A1 = +0.232 +/- 0.025 A2 = -0.00283 +/- 0.00099 T = 1985 June 11.65140 TT Epoch = 1985 June 24.0 TT Peri. = 174.14401 e = 0.5120770 Node = 41.06313 (2000.0) a = 3.1557955 AU Inc. = 24.93208 n'= 0.17580888 q = 1.5397852 AU P = 5.606 years T = 1991 May 17.67552 TT Epoch = 1991 May 24.0 TT Peri. = 178.75617 e = 0.4506918 Node = 38.94898 (2000.0) a = 3.3102908 AU Inc. = 25.72454 n'= 0.16364580 q = 1.8183700 AU P = 6.023 years T = 1997 May 28.51377 TT Epoch = 1997 June 1.0 TT Peri. = 178.93137 e = 0.4506079 Node = 38.90308 (2000.0) a = 3.3103510 AU Inc. = 25.72315 n'= 0.16364133 q = 1.8186808 AU P = 6.023 years The predicted orbit for the 2009 return is as follows: T = 2009 Dec. 6.14779 TT Epoch = 2009 Nov. 25.0 TT Peri. = 181.70801 e = 0.4186344 Node = 37.84477 (2000.0) a = 3.4099147 AU Inc. = 25.65415 n'= 0.15652684 q = 1.9824071 AU P = 6.297 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 1985/ 970112 118 0.5- 0.7+ 970503 954 0.2+ 0.0 850613 413 (5.0- 6.2+) 970113 118 0.3- 0.7+ 970503 954 0.3+ 0.2- 850613 413 (3.8+ 4.1-) 970113 118 0.4- 0.5+ 970503 954 0.4+ 0.0 850613 413 (1.7+ 7.1-) 970116 402 0.6- 0.8+ 970504 563 (2.6+ 0.9+) 850613 413 0.3+ 1.4- 970116 402 0.1- 0.7+ 970504 563 (2.7+ 3.2+) 850613 413 (2.9+ 3.3-) 970116 402 0.6+ 0.7+ 970504 563 (2.0+ 0.2-) 850613 413 0.8- 1.4+ 970118 360 0.4- 0.8- 970504 563 1.7+ 0.5- 850613 413 0.5- 0.5- 970118 360 1.3- 0.3+ 970509 897 1.4+ 0.4- 850621 413 1.6+ 2.0- 970119 360 0.4+ 0.1+ 970509 897 0.4- 0.2- 850621 413 0.1+ 0.4+ 970119 360 0.6- 0.6+ 970514 954 0.1- 0.3+ 850621 413 (1.4- 3.2+) 970120 402 1.1- 0.5+ 970514 954 0.2- 0.3+ 850710 413 1.3+ 2.0- 970120 402 0.8- 1.2+ 970515 118 0.3+ 0.2+ 850710 413 (1.3+ 2.8-) 970120 402 0.8- 0.5+ 970515 118 0.0 0.2+ 850727 675 1.3- 1.8+ 970204 360 0.3+ 0.2- 970521 954 (3.0+ 0.2+) 850727 675 1.4- 0.5+ 970204 360 0.2- 0.1+ 970522 954 (3.8+ 1.0-) 850728 675 1.9- 0.2- 970208 046 0.3- 0.4- 970522 954 (4.7+ 0.2-) 850728 675 0.9- 0.1- 970208 046 0.1- 0.5- 970526 360 0.4+ 0.5- 850728 675 0.5- 0.3- 970208 046 0.2- 0.7- 970526 360 0.7+ 0.6- 850729 675 0.4+ 0.6- 970305 360 0.0 0.1+ 970527 897 (2.8+ 0.3+) 850729 675 0.3- 0.7- 970305 360 0.2+ 0.1+ 970602 691 0.1- 0.1- 850814 474 1.0+ 0.7+ 970306 118 0.4- 0.5+ 970602 691 0.2+ 0.1+ 850814 474 0.4+ 0.2- 970306 118 0.8- 0.5+ 970602 691 0.2+ 0.2- 1991/ 970308 402 0.3- 0.2- 970610 118 1.3+ 0.6- 910312 675 0.1- 1.0- 970308 402 0.2- 0.1- 970610 118 1.6+ 0.3- 910312 675 0.5- 0.0 970308 402 0.3- 0.2- 970629 360 0.4+ 0.0 910315 103 (4.4- 3.1+) 970311 360 0.5+ 0.3+ 970629 360 0.2+ 0.3- 910316 474 1.0- 0.3+ 970311 360 0.5+ 0.3+ 2003/ 910316 474 0.4+ 1.3- 970317 118 0.8- 0.1+ 030115 H43 (0.9+ 9.5+) 910316 413 (3.2- 2.5+) 970317 118 0.7- 0.3- 030124 H43 (1.5- 3.8+) 910318 402 0.2+ 1.0- 970331 118 0.2- 0.0 030202 360 0.3+ 0.3+ 910318 402 1.0- 0.8+ 970331 897 0.6+ 1.0- 030202 360 0.8- 0.3+ 910320 372 0.9- 0.7- 970331 897 0.8+ 0.7- 030202 360 0.1+ 0.3+ 910411 657 0.8+ 1.6+ 970402 118 0.4- 0.3+ 030205 H43 (3.4+ 6.4+) 910412 657 2.0- 1.4- 970402 118 0.2+ 0.1+ 030208 H41 (1.3- 6.5+) 910412 657 0.7- 1.0- 970407 360 0.1- 0.9+ 030212 H43 (1.7+ 7.1+) 910414 675 1.7- 1.1+ 970407 360 0.2- 0.8+ 030212 H43 (2.0- 6.5+) 910414 400 0.5- 0.1+ 970409 118 0.8+ 0.5+ 030227 246 0.3+ 0.3+ 910414 400 0.2+ 0.9- 970409 118 0.3+ 1.1+ 030227 246 0.2- 0.8+ 910416 675 0.8- 0.7- 970409 118 0.5+ 0.7+ 030227 246 0.3- 0.3+ 910419 657 1.7- 1.3- 970411 867 0.3- 0.0 030227 246 0.0 0.5+ 910420 675 0.0 0.8- 970411 867 0.2- 0.2+ 030227 246 0.7- 0.1+ 910511 801 0.4- 0.1+ 970412 360 0.4- 0.0 030227 246 0.2- 0.8+ 910511 801 0.3- 0.0 970412 360 0.5- 0.0 030227 246 0.3+ 0.3- 910512 801 0.9- 0.0 970415 691 0.2+ 0.4- 030227 246 0.9- 0.0 910512 801 0.4- 0.1+ 970415 691 0.3+ 0.5- 030227 246 1.0+ 0.7- 910515 675 1.6+ 1.4+ 970415 691 0.4+ 0.3- 030227 246 1.1+ 0.2- 910515 675 0.8+ 0.4+ 970424 897 0.9+ 0.0 030227 246 0.5+ 0.6- 910517 675 0.8+ 0.2- 970424 897 1.2+ 0.8+ 030227 246 0.5+ 0.1- 910517 675 1.7+ 1.3+ 970425 402 0.5+ 0.3+ 030227 246 0.6+ 0.1- 910609 801 1.2- 1.9- 970425 402 0.5+ 0.1+ 030227 246 0.5+ 0.1- 910609 801 (3.6+ 0.4-) 970425 402 0.4+ 0.4+ 030311 360 1.4- 0.5+ 910614 801 1.2+ 0.1+ 970428 360 0.2- 0.3+ 030311 360 0.9- 0.5+ 910614 801 0.2+ 0.8+ 970428 360 0.0 0.4+ 030311 360 1.2+ 0.7+ 1997/ 970502 118 1.1+ 0.1+ 970112 118 0.7- 0.3+ 970502 118 0.4+ 0.3+ ( ) -------- Rejected Obs.

Director, Computing Section Syuichi Nakano 2003 Mar. 17

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