Nakano Note (Nakano wa Kangaeru noda) NK 3941 100P/Hartley 1

The following improved orbital elements, by S. Nakano, are from 373 observations 1985 to 2016, 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 +/- 0.72 arc second. The comet has passed 0.36 AU from Jupiter on 1988 Feb. 5 UT and 0.76 AU from Jupiter on 1999 Nov. 25 UT. See the previous orbits in NK 505, NK 607, NK 713 (= MPC 40670), NK 921 and NK 1328 (= MPC 56805) and NK 2506. Epoch = 2016 Apr. 2.0 TT T = 2016 Apr. 2.02284 +/- 0.00054 (m.e.) TT Peri. = 181.86138 +/- 0.00023 Node = 37.72513 +/- 0.00002 (2000.0) Inc. = 25.58918 +/- 0.00002 q = 2.0105576 +/- 0.0000007 AU e = 0.4134793 +/- 0.0000002 a = 3.4279399 +/- 0.0000018 AU n' = 0.15529386 +/- 0.00000012 P = 6.347 +/- 0.0000051 years A1 = +0.252 +/- 0.017 A2 = -0.00322 +/- 0.00085 T = 1985 June 11.65134 TT Epoch = 1985 June 24.0 TT Peri. = 174.14407 e = 0.5120783 Node = 41.06325 (2000.0) a = 3.1557906 AU Inc. = 24.93210 n'= 0.17580928 q = 1.5397787 AU P = 5.606 years T = 1991 May 17.67601 TT Epoch = 1991 May 24.0 TT Peri. = 178.75632 e = 0.4506916 Node = 38.94905 (2000.0) a = 3.3102899 AU Inc. = 25.72461 n'= 0.16364586 q = 1.8183702 AU P = 6.023 years T = 1997 May 28.51406 TT Epoch = 1997 June 1.0 TT Peri. = 178.93142 e = 0.4506076 Node = 38.90315 (2000.0) a = 3.3103500 AU Inc. = 25.72322 n'= 0.16364141 q = 1.8186810 AU P = 6.023 years T = 2003 Aug. 18.01367 TT Epoch = 2003 Aug. 29.0 TT Peri. = 181.53106 e = 0.4191427 Node = 37.89222 (2000.0) a = 3.4082569 AU Inc. = 25.66365 n'= 0.15664105 q = 1.9797109 AU P = 6.292 years T = 2009 Dec. 6.14803 TT Epoch = 2009 Nov. 25.0 TT Peri. = 181.70795 e = 0.4186340 Node = 37.84483 (2000.0) a = 3.4099142 AU Inc. = 25.65422 n'= 0.15652687 q = 1.9824081 AU P = 6.297 years The predicted orbit for the 2022 return is as follows: T = 2022 Aug. 10.95728 TT Epoch = 2022 Aug. 9.0 TT Peri. = 181.97246 e = 0.4121260 Node = 37.68699 (2000.0) a = 3.4320846 AU Inc. = 25.56620 n'= 0.15501264 q = 2.0176333 AU P = 6.358 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 1985/ 030205 H43 (3.1+ 6.2+) 160227 G45 0.6- 0.2+ 850613 413 (3.9+ 3.9-) 030208 H41 (1.6- 6.3+) 160227 G45 1.2- 0.5+ 850613 413 (5.0- 6.4+) 030212 H43 (1.4+ 7.0+) 160227 G45 1.0- 0.7+ 850613 413 (1.8+ 7.0-) 030212 H43 (2.3- 6.3+) 160304 J22 1.0- 0.3- 850613 413 0.3+ 1.2- 030227 246 0.0 0.2+ 160304 J22 0.0 0.2+ 850613 413 (3.0+ 3.1-) 030227 246 0.5- 0.7+ 160304 J22 0.5+ 0.0 850613 413 0.4- 0.3- 030227 246 0.7- 0.2+ 160304 F51 0.1+ 0.2+ 850613 413 0.7- 1.6+ 030227 246 0.4- 0.3+ 160304 F51 0.2+ 0.1+ 850621 413 1.6+ 1.7- 030227 246 1.1- 0.1- 160304 F51 0.2+ 0.2+ 850621 413 0.2+ 0.6+ 030227 246 0.5- 0.6+ 160316 G45 1.3- 0.8+ 850621 413 (1.4- 3.5+) 030227 246 0.1- 0.5- 160316 G45 0.6- 0.2+ 850710 413 1.2+ 2.2- 030227 246 1.3- 0.1- 160316 G45 0.9- 0.5+ 850710 413 1.2+ 1.4- 030227 246 0.7+ 0.8- 160316 G45 0.1- 0.6+ 850727 675 1.6- 2.6+ 030227 246 0.7+ 0.3- 160316 G45 0.6- 0.6+ 850727 675 1.6- 1.2+ 030227 246 0.2+ 0.7- 160316 G45 0.6- 0.6+ 850728 675 2.2- 0.6+ 030227 246 0.1+ 0.3- 160316 G45 1.0- 0.8+ 850728 675 1.2- 0.6+ 030227 246 0.3+ 0.3- 160317 F51 0.1+ 0.1- 850728 675 0.8- 0.5+ 030227 246 0.1+ 0.3- 160317 F51 0.1+ 0.1- 850729 675 0.1+ 0.1+ 030311 360 1.7- 0.3+ 160317 F51 0.3+ 0.5+ 850729 675 0.6- 0.1+ 030311 360 1.2- 0.3+ 160317 F51 0.1+ 0.0 850814 474 0.6+ 1.6+ 030311 360 0.8+ 0.5+ 160318 215 0.3- 0.1+ 850814 474 0.1- 0.6+ 030320 204 0.8- 0.5- 160318 215 0.5- 0.1+ 1991/ 030320 204 0.4+ 0.3+ 160318 215 0.6- 0.0 910312 675 0.3- 1.3- 030324 704 0.2+ 0.6- 160318 W96 0.0 0.7+ 910312 675 0.7- 0.2- 030324 704 0.5- 0.8+ 160318 W96 0.3- 0.2+ 910315 103 (4.5- 2.8+) 030324 704 0.7- 0.9+ 160318 W96 0.5- 0.3+ 910316 474 1.1- 0.1+ 030324 704 0.2+ 1.4+ 160319 I40 0.0 0.0 910316 474 0.2+ 1.6- 030325 204 0.5+ 0.4- 160319 I40 0.1- 0.0 910316 413 (3.4- 2.2+) 030325 204 0.1+ 0.0 160319 I40 0.0 0.0 910318 402 0.0 1.3- 030325 204 0.1+ 0.9- 160319 I40 0.1- 0.0 910318 402 1.2- 0.5+ 030326 360 0.6+ 0.5- 160319 G45 1.3- 0.3+ 910320 372 1.1- 1.0- 030326 360 0.3+ 0.1+ 160319 G45 0.8- 0.6+ 910411 657 0.6+ 1.2+ 030421 170 1.9+ 1.4+ 160319 G45 1.8- 0.9+ 910412 657 2.1- 1.7- 030421 170 1.9+ 1.2+ 160319 G45 1.6- 0.2+ 910412 657 0.9- 1.3- 030421 170 (2.1+ 1.2+) 160319 G45 0.4- 0.5+ 910414 675 1.9- 0.7+ 030421 170 (2.3+ 0.5+) 160319 G45 0.1- 0.6+ 910414 400 0.6- 0.2- 030421 170 (2.2+ 0.1+) 160403 T05 0.3- 0.3+ 910414 400 0.1+ 1.3- 030423 213 (2.0+ 0.9+) 160403 T05 0.8- 0.8+ 910416 675 1.0- 1.0- 030423 213 0.6- 1.0- 160403 T05 1.3- 1.3+ 910419 657 1.8- 1.7- 030423 213 (2.8- 1.4-) 160403 T05 0.2- 0.8+ 910420 675 0.1- 1.1- 030430 213 0.5+ 0.9+ 160406 Q68 0.3- 0.2+ 910511 801 0.4- 0.2- 030430 213 (0.4+ 2.5+) 160406 Q68 0.4- 0.2+ 910511 801 0.4- 0.3- 030430 213 0.4+ 0.8+ 160408 Q68 0.0 0.3- 910512 801 0.9- 0.4- 030430 442 (1.8- 2.7+) 160408 Q68 0.3- 0.2+ 910512 801 0.4- 0.2- 030502 360 1.1+ 0.3+ 160409 W88 0.3+ 0.2- 910515 675 1.6+ 1.1+ 030502 360 1.1+ 0.4+ 160409 W88 0.0 0.1- 910515 675 0.7+ 0.1+ 030503 213 0.9+ 0.4+ 160412 F51 0.2+ 0.2- 910517 675 0.8+ 0.5- 030520 H41 (5.2- 12.2+) 160412 F51 0.2+ 0.2- 910517 675 1.6+ 1.0+ 030523 360 0.0 0.0 160413 J22 0.2+ 0.1+ 910609 801 1.1- 2.2- 030523 360 0.5+ 0.0 160413 J22 0.0 0.2+ 910609 801 (3.6+ 0.6-) 030528 704 (2.0+ 0.7+) 160413 J22 0.0 0.3- 910614 801 1.3+ 0.1- 030528 704 (2.4+ 0.4-) 160415 367 0.7+ 0.5+ 910614 801 0.3+ 0.6+ 030528 704 1.0+ 0.8+ 160415 367 0.4+ 0.2+ 1997/ 030528 704 0.3- 1.2+ 160419 T05 1.2+ 0.1+ 970112 118 0.9- 0.2+ 030604 703 (2.4+ 0.3-) 160419 T05 0.2+ 1.1+ 970112 118 0.7- 0.6+ 030604 703 1.6+ 1.0- 160419 T05 1.2- 1.4+ 970113 118 0.6- 0.6+ 030604 703 (3.1+ 0.6-) 160419 T05 0.5- 0.3+ 970113 118 0.7- 0.4+ 030604 703 (2.1+ 1.0-) 160421 Q68 0.5- 0.6+ 970116 402 0.9- 0.7+ 030605 360 1.1+ 0.3+ 160421 Q68 0.4- 0.1+ 970116 402 0.4- 0.5+ 030605 360 1.4+ 0.2+ 160421 Q68 0.3+ 0.2+ 970116 402 0.3+ 0.6+ 030611 620 0.7+ 1.1+ 160427 T05 1.5- 0.2+ 970118 360 0.6- 1.0- 030619 620 0.8+ 1.2+ 160427 T05 0.8+ 0.0 970118 360 1.6- 0.1+ 030619 620 0.6+ 1.1+ 160427 T05 1.1- 1.4+ 970119 360 0.1+ 0.0 030622 448 0.7+ 0.4+ 160427 T05 1.3+ 1.4+ 970119 360 0.9- 0.5+ 030622 448 1.4+ 0.9+ 160427 T05 0.2- 0.3- 970120 402 1.4- 0.3+ 030622 448 1.0+ 0.7+ 160429 585 0.3- 1.1+ 970120 402 1.1- 1.0+ 2010/ 160429 585 0.2- 0.9+ 970120 402 1.0- 0.4+ 100416 C51 1.2- 0.5- 160429 585 0.2- 0.6+ 970204 360 0.0 0.4- 100416 C51 0.4- 0.7- 160429 585 0.6- 0.3+ 970204 360 0.5- 0.0 100416 C51 0.4- 0.5- 160429 585 0.2+ 0.1- 970208 046 0.6- 0.6- 100416 C51 0.6- 0.3- 160429 585 0.6- 0.0 970208 046 0.3- 0.7- 100416 C51 0.5- 0.9- 160429 585 0.5+ 0.5- 970208 046 0.4- 0.8- 100416 C51 0.5- 0.9- 160429 585 0.8+ 0.2- 970305 360 0.3- 0.1- 100416 C51 0.3- 0.0 160429 585 0.3+ 0.1+ 970305 360 0.1- 0.1- 100416 C51 0.1- 0.0 160429 585 0.7- 0.8+ 970306 118 0.7- 0.3+ 100416 C51 0.2- 0.4- 160429 585 0.3- 0.2- 970306 118 1.1- 0.3+ 100417 C51 0.9- 0.4- 160429 585 0.2- 0.2- 970308 402 0.6- 0.4- 100417 C51 1.0- 1.3- 160501 Q68 0.5+ 0.4- 970308 402 0.5- 0.3- 100417 C51 0.2- 0.1- 160501 Q68 0.0 0.1- 970308 402 0.6- 0.4- 100417 C51 1.5- 0.7- 160503 T05 0.1+ 1.3+ 970311 360 0.2+ 0.1+ 100417 C51 0.8- 1.0- 160503 T05 0.5+ 0.7+ 970311 360 0.2+ 0.1+ 100418 C51 1.0- 1.2- 160503 T05 0.3+ 1.4+ 970317 118 1.1- 0.1- 100418 C51 0.9- 1.5- 160503 T05 0.5+ 0.9+ 970317 118 1.0- 0.5- 100418 C51 0.8+ 0.1- 160503 T05 0.2- 0.6- 970331 118 0.5- 0.3- 100512 415 0.5- 0.6- 160504 Q68 0.2+ 0.2+ 970331 897 0.3+ 1.3- 100512 415 (2.4- 3.0-) 160504 Q68 0.1+ 0.2+ 970331 897 0.6+ 1.0- 100711 829 1.1+ 0.3+ 160508 D95 0.2- 0.2+ 970402 118 0.7- 0.1+ 100711 829 0.3- 0.4- 160508 D95 0.3- 0.7+ 970402 118 0.1- 0.2- 100711 829 0.9+ 0.3- 160508 D95 0.3- 0.6+ 970407 360 0.4- 0.6+ 100712 829 1.0+ 1.3+ 160510 Y00 0.2+ 1.0+ 970407 360 0.5- 0.5+ 100712 829 0.5- 0.5- 160510 Y00 (0.2- 2.0+) 970409 118 0.5+ 0.3+ 2015/ 160510 Y00 0.2- 1.8+ 970409 118 0.0 0.8+ 151229 Q21 0.0 0.1+ 160512 T05 0.9+ 0.6+ 970409 118 0.2+ 0.5+ 151229 Q21 (1.3- 3.0+) 160512 T05 1.8+ 1.1+ 970411 867 0.6- 0.3- 2016/ 160512 T05 0.3+ 0.8+ 970411 867 0.4- 0.1- 160205 160 (0.7+ 3.2+) 160512 T05 0.2+ 1.3+ 970412 360 0.7- 0.3- 160205 160 (1.4+ 2.3+) 160512 T05 1.1+ 1.2+ 970412 360 0.8- 0.3- 160205 160 0.7+ 0.4+ 160512 T05 0.6+ 1.3+ 970415 691 0.1- 0.6- 160206 160 0.2- 1.4+ 160512 T05 1.4+ 0.3+ 970415 691 0.0 0.7- 160206 160 0.2- 1.0+ 160512 T05 0.4+ 0.5+ 970415 691 0.1+ 0.6- 160206 160 0.3- 0.3+ 160512 D81 (2.0- 0.8-) 970424 897 0.7+ 0.2- 160206 H06 0.2- 0.2+ 160512 349 0.1- 0.2+ 970424 897 1.0+ 0.5+ 160206 H06 0.5- 0.4+ 160512 D81 1.8- 0.8+ 970425 402 0.3+ 0.0 160206 H06 0.8- 0.7+ 160512 349 0.2+ 0.5+ 970425 402 0.3+ 0.1- 160209 I40 0.2- 0.1+ 160512 900 0.5+ 0.3+ 970425 402 0.1+ 0.1+ 160209 I40 0.1- 0.3+ 160512 900 0.7+ 1.2+ 970428 360 0.5- 0.0 160209 I40 0.0 0.0 160513 Q62 0.3- 0.7- 970428 360 0.2- 0.2+ 160209 I40 0.0 0.3+ 160513 Q62 0.4- 0.1- 970502 118 0.9+ 0.1- 160210 G45 0.7- 0.9+ 160513 Q68 0.4+ 0.0 970502 118 0.2+ 0.0 160210 G45 0.5- 0.8+ 160513 Q68 0.5+ 0.2+ 970503 954 0.0 0.3- 160210 G45 0.6- 0.2+ 160515 Q68 0.7+ 0.2- 970503 954 0.1+ 0.5- 160210 G45 (0.4+ 2.2-) 160515 Q68 1.2+ 0.5- 970503 954 0.2+ 0.2- 160213 G45 0.7- 0.3+ 160527 Y00 1.8+ 0.1- 970504 563 (2.5+ 0.6+) 160213 G45 0.7- 0.4+ 160527 Y00 1.6+ 0.1- 970504 563 (2.5+ 2.9+) 160213 G45 0.2+ 0.5+ 160527 Y00 1.3+ 0.6+ 970504 563 1.8+ 0.5- 160213 G45 1.0- 0.9+ 160527 J22 0.5+ 0.7- 970504 563 1.5+ 0.7- 160213 G45 0.3- 0.8+ 160527 J22 0.1+ 1.1- 970509 897 1.2+ 0.6- 160213 G45 0.3- 0.3+ 160527 J22 0.5+ 0.8- 970509 897 0.6- 0.5- 160213 G45 0.5- 0.7+ 160530 Y00 1.5+ 0.6+ 970514 954 0.2- 0.1+ 160213 F51 0.0 0.1+ 160530 Y00 1.2+ 0.5- 970514 954 0.4- 0.0 160213 F51 0.1+ 0.1+ 160530 Y00 0.9+ 1.1- 970515 118 0.1+ 0.0 160213 F51 0.0 0.1+ 160530 Q62 0.2- 0.3- 970515 118 0.1- 0.1- 160213 F51 0.0 0.0 160530 Q62 0.2+ 0.2- 970521 954 (2.9+ 0.0 ) 160217 G45 0.5- 0.1+ 160602 900 1.0+ 1.3- 970522 954 (3.7+ 1.3-) 160217 G45 1.4- 0.4+ 160602 900 1.1+ 0.2- 970522 954 (4.6+ 0.4-) 160217 G45 0.1- 0.5+ 160607 F51 0.0 1.4- 970526 360 0.3+ 0.7- 160217 G45 0.1- 0.0 160607 F51 0.1+ 0.8- 970526 360 0.6+ 0.8- 160218 I40 0.1- 0.0 160607 F51 0.1+ 0.8- 970527 897 (2.7+ 0.0 ) 160218 I40 0.4- 0.2+ 160607 J22 0.1+ 0.7- 970602 691 0.1- 0.3- 160218 I40 0.1- 0.1+ 160607 J22 0.9+ 0.6- 970602 691 0.2+ 0.1- 160218 349 0.3- 0.7- 160607 J22 1.0+ 0.7- 970602 691 0.1+ 0.3- 160218 349 0.6- 0.3- 160607 W88 0.8+ 0.8- 970610 118 1.3+ 0.7- 160220 A77 (3.5- 1.5-) 160607 W88 1.1+ 1.2- 970610 118 1.5+ 0.4- 160220 A77 (2.0- 2.6-) 160607 W88 0.5+ 0.9- 970629 360 0.4+ 0.1- 160220 W88 0.6- 0.5+ 160611 Q68 0.5+ 0.9- 970629 360 0.2+ 0.4- 160220 W88 0.3- 0.1+ 160611 Q68 1.1+ 0.1- 2003/ 160225 I40 0.3- 0.0 160702 W98 (2.0+ 0.5-) 030115 H43 (0.6+ 9.4+) 160225 I40 0.2- 0.1+ 160702 W98 (3.6+ 0.2-) 030124 H43 (1.8- 3.6+) 160225 I40 0.5- 0.1+ 160702 W98 (3.1+ 0.3-) 030202 360 0.0 0.1+ 160225 I40 0.5- 0.1+ 160714 W96 0.4+ 0.6- 030202 360 1.1- 0.1+ 160225 I40 0.5- 0.0 160714 W96 0.9+ 0.6- 030202 360 0.2- 0.2+ 160227 G45 0.7- 1.2+ ( ) -------- Rejected Obs.

Associate of the CBAT Syuichi Nakano 2019 Nov. 23

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