OAA computing section circular NK 938 52P/Harrington-Abell

The following improved orbital elements, by S. Nakano, are from 428 observations 1975 to 1999, 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 +/- 0.76 arc second. See an orbit on MPC 32595. Epoch = 1999 Jan. 22.0 TT T = 1999 Jan. 27.87623 +/- 0.00025 (m.e.) TT Peri. = 138.89983 +/- 0.00015 Node = 337.28779 +/- 0.00006 (2000.0) Inc. = 10.21845 +/- 0.00001 q = 1.7559850 +/- 0.0000007 AU e = 0.5429098 +/- 0.0000002 a = 3.8416598 +/- 0.0000006 AU n' = 0.13089580 +/- 0.00000003 P = 7.530 +/- 0.0000016 years A1 = +0.369 +/- 0.022 A2 = +0.00609 +/- 0.00028 T = 1976 Apr. 21.82605 TT Epoch = 1976 Apr. 12.0 TT Peri. = 138.44799 e = 0.5400943 Node = 337.48943 (2000.0) a = 3.8615734 AU Inc. = 10.17052 n'= 0.12988459 q = 1.7759598 AU P = 7.588 years T = 1983 Dec. 1.67183 TT Epoch = 1983 Dec. 12.0 TT Peri. = 138.56784 e = 0.5388380 Node = 337.42992 (2000.0) a = 3.8707871 AU Inc. = 10.16089 n'= 0.12942112 q = 1.7850599 AU P = 7.616 years T = 1991 July 6.92983 TT Epoch = 1991 July 3.0 TT Peri. = 138.66504 e = 0.5404377 Node = 337.34405 (2000.0) a = 3.8610349 AU Inc. = 10.18260 n'= 0.12991177 q = 1.7743862 AU P = 7.587 years The predicted orbit for the 2006 return is as follows: T = 2006 Aug. 14.77487 TT Epoch = 2006 Aug. 13.0 TT Peri. = 139.08469 e = 0.5428550 Node = 337.17785 (2000.0) a = 3.8436692 AU Inc. = 10.22047 n'= 0.13079317 q = 1.7571140 AU P = 7.536 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 1975/ 980930 046 0.4+ 0.8+ 990121 113 0.0 1.9- 751006 691 0.9- 1.0+ Y 981001 372 0.2+ 0.6+ 990121 113 (0.0 2.4-) 751006 691 (8.1- 4.0+)Y 981002 897 0.8- 0.5+ 990121 113 0.1+ 1.6- 751007 801 (3.0- 0.4-) 981002 897 0.3- 0.5+ 990121 113 0.1+ 1.2- 751101 691 1.1- 1.1+ 981002 372 0.6+ 0.4+ 990121 113 (0.4- 2.5-) 751101 691 (3.5- 1.0+) 981002 900 0.0 0.6+ 990122 046 0.7+ 0.5+ 751204 801 0.7- 1.4+ 981002 900 0.5- 0.6+ 990122 046 0.7+ 0.5+ 751205 691 1.7+ 2.6+ Y 981002 360 0.8+ 0.9+ 990122 046 0.7+ 0.6+ 751205 691 0.5- 0.9- Y 981002 360 0.4+ 0.9+ 990122 360 0.3+ 0.5+ 1976/ 981006 758 (5.2- 0.9+) 990122 360 0.4+ 0.4+ 760102 801 0.2+ 1.2+ 981006 758 (5.2- 0.6+) 990122 587 0.4+ 0.0 760126 691 (3.7+ 0.8+) 981006 758 (4.7- 0.5+) 990122 610 0.2+ 0.3+ 760126 691 (3.3+ 1.0+) 981006 758 (4.2- 0.7+) 990122 610 0.1- 0.1+ 760224 801 0.1- 0.8+ 981018 372 0.4+ 1.1+ 990122 610 0.2- 0.0 760225 691 2.6+ 1.0+ 981018 900 0.9- 0.9- 990122 610 0.2- 0.1- 1983/ 981018 900 0.8- 0.4+ 990122 610 0.4- 0.2- 830917 675 0.6+ 0.9+ 981021 372 0.1- 0.3- 990124 610 0.8+ 0.2+ 830918 675 1.9+ 0.2- 981023 561 0.4+ 0.6+ 990124 610 0.7+ 0.3+ 831203 707 0.6- 1.0+ 981023 561 0.3+ 0.5+ 990124 610 0.6+ 0.3+ 1984/ 981023 561 0.3+ 0.6+ 990124 610 0.4+ 0.3+ 840108 707 1.3+ 1.1- 981025 046 0.2+ 0.3+ 990124 610 0.3+ 0.3+ 840201 323 0.5- 0.8- 981025 046 0.3+ 0.5+ 990126 372 0.2- 0.2+ 840206 323 0.4+ 0.7+ 981025 046 0.1+ 0.4+ 990128 355 1.0+ 0.0 840208 801 0.6+ 1.2+ 981025 046 0.1- 0.4+ 990128 355 0.9+ 0.6- 840227 323 1.0- 1.8+ 981026 561 0.7+ 0.4+ 990128 355 0.9+ 0.0 840301 801 0.7- 1.3+ 981026 561 0.6+ 0.5+ 990130 504 0.7+ 0.2- 840326 323 1.5- 0.6+ 981026 561 0.7+ 0.4+ 990130 504 0.8+ 0.5- 840402 801 1.9+ 0.8+ 981026 561 0.8+ 0.4+ 990130 504 1.1+ 0.1- 1990/ 981029 143 1.6- 0.7- 990130 504 1.4+ 0.4- 900918 675 0.1+ 0.6+ 981029 143 2.0- 0.9- 990205 610 1.0+ 1.2- 900918 675 0.0 0.2- 981029 143 1.9- 0.3- 990205 610 0.7+ 1.0- 901022 691 0.3- 0.5+ 981029 351 0.6+ 0.7- 990205 610 0.7+ 1.0- 901022 691 0.1- 0.4+ 981029 351 (2.6- 1.5-) 990205 610 0.5+ 1.0- 901022 691 0.0 0.7+ 981029 360 0.0 0.3- 990205 610 0.4+ 0.8- 901023 691 0.2+ 0.4+ 981029 360 0.3+ 0.3- 990206 355 0.8+ 0.4- 901023 691 1.0+ 0.2+ 981029 504 0.9- 0.9- 990206 355 0.9+ 0.5- 901023 691 0.6+ 0.2+ 981029 504 0.6- 1.2- 990206 355 0.8+ 0.6- 901023 586 (2.6+ 1.9+) 981029 504 1.0- 1.2- 990206 351 0.4+ 0.1+ 901023 586 1.4+ 1.5+ 981029 504 1.3- 0.7- 990206 351 0.3+ 0.5- 1998/ 981029 504 1.4- 0.9- 990206 351 0.3+ 0.7- 980721 910 0.5+ 0.6+ 981029 504 1.3- 0.7- 990208 900 0.6+ 0.1- 980721 910 0.5+ 0.5+ 981103 402 0.3- 1.2+ 990208 402 0.7+ 0.1- 980721 910 0.5+ 0.5+ 981103 402 0.5- 1.0+ 990208 352 0.5+ 0.5- 980721 910 0.7+ 0.8+ 981103 402 0.3- 1.2+ 990208 402 0.7+ 0.1- 980722 046 0.3- 0.0 981110 372 0.5- 0.6+ 990208 402 0.7+ 0.0 980722 046 0.6- 0.6+ 981110 504 0.8- 0.5+ 990208 900 0.1+ 0.4- 980722 046 0.4+ 0.5+ 981110 504 1.0- 0.3- 990208 352 1.6+ 1.1- 980722 046 0.4+ 0.3+ 981110 504 1.0- 0.3+ 990209 897 0.8+ 0.3- 980722 046 0.1- 0.4+ 981111 605 1.8- 1.4- 990209 897 0.8+ 0.2- 980722 046 0.1- 0.5+ 981111 605 (4.6- 1.4-) 990212 693 0.4+ 0.2+ 980722 106 0.2+ 0.1+ 981111 605 (3.5- 0.0 ) 990212 693 0.4+ 0.3+ 980722 106 0.5- 0.1- 981111 372 1.1- 0.3+ 990212 693 0.5+ 0.2+ 980722 106 0.0 0.3+ 981112 897 0.5- 0.4+ 990212 613 1.5+ 1.2- 980722 106 0.0 0.3+ 981113 351 1.5- 0.8+ 990213 613 1.0+ 0.7- 980722 658 0.2- 0.4+ 981113 351 0.2- 0.0 990213 372 0.6+ 0.1- 980722 658 0.1+ 0.4+ 981113 351 0.3- 0.3- 990214 360 0.1+ 0.1+ 980722 658 0.1- 0.5+ 981114 352 1.3- 0.1+ 990214 360 0.4+ 0.1+ 980723 094 0.6+ 0.5+ 981114 352 (2.6- 0.3+) 990216 696 (5.7+ 4.4-) 980723 094 1.0+ 0.3+ 981114 352 (2.5- 0.4-) 990216 696 (6.7+ 5.8-) 980723 094 0.9- 0.1+ 981115 360 0.4+ 0.0 990216 402 0.3+ 0.0 980723 118 0.8+ 0.5+ 981115 360 0.3+ 0.1- 990216 402 0.4+ 0.1+ 980723 118 0.7+ 0.5+ 981115 143 1.1- 0.1- 990216 402 0.3+ 0.2+ 980723 138 1.0+ 0.9+ 981115 143 1.4- 0.0 990217 696 (7.7+ 4.7-) 980723 138 0.9+ 0.5+ 981115 143 0.8- 0.2- 990217 696 (6.2+ 3.8-) 980723 138 1.4+ 0.8+ 981119 351 2.1- 0.2- 990217 896 (2.5+ 2.6-) 980723 138 1.2+ 0.4+ 981119 351 0.7- 0.4+ 990217 896 (1.7+ 3.8-) 980723 138 0.9+ 0.4+ 981119 351 2.0- 0.5+ 990217 372 1.1- 1.6+ 980723 867 0.3+ 0.3+ 981122 693 0.8+ 0.7+ 990218 696(10.1+ 5.2-) 980723 867 0.3- 0.4+ 981122 693 1.0- 0.8+ 990218 696 (3.0+ 1.0-) 980723 867 0.1- 0.3+ 981122 693 1.1- 0.8+ 990221 372 0.2- 0.7+ 980725 118 0.6- 0.5+ 981122 900 0.5- 0.2- 990225 351 1.3+ 0.4+ 980725 691 0.1+ 0.6+ 981122 900 0.2- 0.1+ 990225 351 1.5+ 0.3+ 980725 691 0.2+ 0.7+ 981123 897 0.7- 0.3+ 990225 351 0.9+ 0.2+ 980725 691 0.1- 0.8+ 981123 897 1.0- 0.1+ 990226 587 1.0+ 0.5+ 980727 046 0.4- 0.9+ 981123 897 0.9- 0.2+ 990226 587 0.4+ 0.6+ 980727 046 0.3- 0.9+ 981123 360 0.0 0.1+ 990226 587 0.6+ 0.6+ 980727 046 0.3- 0.6+ 981123 360 0.0 0.2+ 990227 758 1.4+ 1.6+ 980727 046 0.5- 0.9+ 981124 046 0.4- 0.3+ 990227 758 0.3+ 0.3+ 980728 355 1.1- 0.2+ 981124 046 0.3- 0.2+ 990228 900 0.5+ 0.6+ 980728 355 (2.4- 0.1+) 981124 046 0.4- 0.2+ 990228 900 1.3+ 0.7+ 980728 355 2.2- 0.2+ 981126 351 1.5- 0.4- 990228 504 0.4- 0.7+ 980730 372 1.3- 0.1+ 981126 351 (2.5- 0.2+) 990228 504 0.1+ 0.3+ 980802 372 0.5+ 0.7+ 981126 352 2.2- 0.2+ 990228 504 0.1+ 0.4+ 980803 372 0.3- 0.8+ 981126 352 (2.3- 0.2-) 990228 504 0.7+ 0.0 980804 372 0.6+ 1.0+ 981126 352 1.7- 0.2- 990303 402 0.6+ 0.2+ 980804 897 0.3+ 0.9+ 981128 897 0.8- 0.1+ 990303 402 0.5+ 0.3+ 980804 360 0.6+ 0.8+ 981128 897 0.6- 0.1+ 990303 402 0.6+ 0.2+ 980804 360 0.7+ 0.9+ 981204 046 0.1- 0.8- 990303 903 1.2+ 0.1- 980804 897 0.5- 1.3+ 981204 046 0.1- 0.8- 990303 903 1.7+ 0.1- 980804 372 0.2- 1.1+ 981204 046 0.1- 0.9- 990306 351 0.3+ 0.5- 980806 143 1.6- 0.8+ 981205 900 1.8- 1.2- 990306 351 0.9+ 0.0 980806 143 1.5- 1.1+ 981205 900 1.1- 0.7- 990306 351 1.6+ 0.2- 980806 046 0.1+ 1.0+ 981209 351 1.3- 0.6- 990310 017 0.1- 0.6+ 980806 046 0.4+ 1.0+ 981209 351 0.9- 1.1- 990310 017 0.2- 0.6+ 980806 046 0.4+ 1.0+ 981209 351 2.2- 0.3- 990310 017 0.1- 0.5+ 980806 143 (2.8- 0.4+) 981210 900 0.4- 0.9- 990310 017 0.2- 0.7+ 980807 118 0.2+ 0.8+ 981210 900 0.4- 0.6- 990310 017 0.2- 0.6+ 980807 118 0.4- 0.4+ 981211 372 0.4- 0.4- 990310 017 0.0 0.5+ 980807 118 0.6+ 0.4+ 981214 504 1.6- 0.3- 990316 402 0.7+ 0.2+ 980809 118 0.7+ 0.4+ 981214 504 1.3- 0.2- 990316 402 0.5+ 0.3+ 980809 118 1.1+ 0.6+ 981216 360 0.3- 0.7- 990316 402 0.7+ 0.4+ 980810 355 0.8- 0.6+ 981216 360 0.2- 0.7- 990316 351 1.7+ 0.3- 980810 355 0.1+ 0.4+ 981217 704 (3.5- 2.3-) 990316 351 0.4- 0.4+ 980810 355 0.8- 0.2+ 981217 704 (3.8- 2.4-) 990316 897 1.2+ 0.6+ 980811 143 1.2- 0.1+ 981217 704 (3.4- 2.3-) 990316 897 0.9+ 0.1- 980811 143 0.7- 0.0 981217 704 (3.7- 2.3-) 990316 360 0.1+ 0.6+ 980811 143 0.6- 0.4+ 981217 704 (3.9- 2.2-) 990316 360 0.1+ 0.4+ 980816 372 0.5+ 1.2+ 981217 355 0.6- 0.9- 990316 372 0.4+ 0.1+ 980820 118 0.4+ 0.5+ 981217 355 0.8- 0.7- 990322 897 0.5+ 1.1+ 980820 118 0.5+ 0.4+ 981217 355 0.8- 0.7- 990322 897 0.8+ 1.0+ 980820 118 0.6+ 0.8+ 981219 504 1.1- 1.2- 990327 402 0.4- 0.2- 980820 372 0.7+ 0.2+ 981220 897 0.7- 0.8- 990327 402 0.3+ 0.2- 980822 143 1.6- 0.4+ 981220 897 0.7- 1.0- 990327 402 0.1+ 0.3+ 980822 143 2.0- 0.3+ 981222 351 0.7- 0.5- 990331 351 1.1+ 0.1+ 980822 143 (2.4- 0.2+) 981222 351 0.7- 0.9- 990331 351 1.0+ 0.9+ 980822 351 (4.2- 0.2+) 981222 351 1.9- 0.6- 990331 351 2.2+ 1.0- 980822 351 0.9- 0.4+ 981223 761 0.6- 0.0 990406 704 0.4- 1.2+ 980822 351 1.5- 1.2+ 981223 761 (2.2- 2.6-) 990406 704 0.6+ 0.3- 980822 402 0.1- 0.4+ 981225 540 0.1- 0.4- 990406 704 1.0+ 0.4- 980822 402 0.0 0.4+ 981225 540 0.0 0.2- 990406 704 0.5+ 0.9+ 980822 402 0.0 0.4+ 981225 540 1.0- 0.5- 990406 704 (3.3+ 0.3-) 980825 372 0.4+ 0.0 981225 540 0.2- 0.6+ 990407 897 0.9+ 0.6- 980825 360 1.2+ 0.2- 981225 540 0.1- 0.3+ 990407 360 0.6- 0.1- 980825 360 1.1+ 0.1- 981225 540 0.2+ 0.1+ 990407 897 0.5+ 0.1- 980826 143 1.1- 0.4- 981227 504 0.5- 0.7- 990407 360 0.6- 0.3+ 980826 143 2.0- 0.4- 981227 504 0.7- 0.5- 990408 402 0.6+ 0.6+ 980826 143 1.9- 0.3- 981228 360 0.3+ 0.0 990408 402 1.0+ 0.6+ 980830 758 (3.9- 0.9+) 981228 360 0.2+ 0.1- 990408 402 0.7+ 1.1+ 980830 758 (3.5- 0.7+) 1999/ 990411 351 1.3- 0.7- 980830 758 (3.3- 0.5+) 990105 351 0.7- 0.8- 990411 351 2.2- 0.7+ 980830 758 (4.8- 0.5+) 990105 351 1.0- 0.9- 990416 504 1.4+ 0.2+ 980830 422 (2.8- 1.0+) 990105 351 0.6- 0.1- 990416 504 1.2+ 0.6+ 980901 046 0.7+ 0.3+ 990105 900 0.6- 0.2+ 990416 504 1.1+ 0.7+ 980901 046 0.5+ 0.3+ 990105 900 0.2- 0.2- 990416 504 1.0+ 0.5+ 980901 046 0.5+ 0.3+ 990109 355 0.2- 0.5- 990419 118 0.4+ 0.8+ 980901 372 0.8+ 0.7+ 990109 355 0.3- 0.6- 990419 118 1.3+ 0.4+ 980902 372 1.0+ 1.0+ 990109 355 0.3- 0.5- 990420 900 0.5+ 0.2- 980902 867 0.5+ 0.3+ 990109 372 0.1+ 0.1+ 990420 900 1.1- 0.4- 980902 352 0.9+ 0.3- 990112 896 (2.9- 5.0-) 990429 897 1.2- 0.2- 980902 867 1.1+ 0.3+ 990113 118 0.0 0.0 990429 897 0.7- 0.7+ 980902 352 0.3+ 0.1- 990113 118 0.5+ 0.3- 990429 046 0.6+ 1.3+ 980902 360 0.9+ 0.3+ 990115 896 1.8- 1.1- 990429 046 1.4- 1.0+ 980902 352 1.3- 0.1- 990115 896 0.8+ 0.2+ 990429 046 0.5+ 0.8+ 980902 360 1.0+ 0.4+ 990115 896 0.2- 0.3- 990429 046 0.6- 1.2+ 980905 118 0.7+ 0.2- 990115 108 1.4+ 0.7- 990429 046 0.6- 0.4+ 980905 118 0.9+ 0.2- 990115 108 1.4+ 1.0- 990506 360 0.3- 0.4+ 980908 629 (3.3- 1.4+) 990116 118 0.1+ 0.1- 990506 360 1.2- 1.1+ 980908 629 0.8- 1.2+ 990116 118 0.2+ 0.7- 990507 903 0.2+ 1.5+ 980908 629 1.1- 0.8+ 990117 402 0.1+ 0.0 990507 903 0.7- 0.6- 980919 351 1.0+ 1.0- 990117 402 0.1+ 0.1- 990508 704 0.7- 0.8+ 980919 351 1.5+ 0.6+ 990117 402 0.3+ 0.0 990508 704 0.3+ 0.9+ 980919 351 1.4- 0.9+ 990118 351 0.3+ 0.4- 990508 704 0.1+ 1.1+ 980919 355 2.2- 0.1- 990118 351 0.3- 0.4- 990508 704 0.3+ 0.2- 980919 355 1.7- 0.1+ 990118 351 0.2- 0.2+ 990508 704 1.3+ 0.5- 980919 355 1.8- 0.2- 990118 118 0.1- 0.2+ 990518 699 0.8- 2.1+ 980919 900 0.9- 0.1+ 990118 118 0.2- 0.1- 990518 699 (1.4+ 2.7+) 980919 900 0.5- 0.3- 990119 372 0.9- 0.9+ 990518 699 2.2- 0.6+ 980923 605 (4.8- 0.7+) 990120 610 0.4- 0.2- 990605 703 1.3+ 0.2- 980923 605 (4.5- 0.8+) 990120 610 0.4- 0.2- 990605 703 0.2+ 0.8+ 980923 605 (2.7- 0.9-) 990120 610 0.2- 0.2- 990605 703 1.8+ 1.1+ 980930 046 0.5+ 0.8+ 990120 610 0.2- 0.3- 990605 703 (2.0- 2.8+) 980930 046 0.4+ 0.8+ 990120 610 0.1- 0.3- ( ) -------- Rejected Obs.

Director, Computing Section Syuichi Nakano 2003 Apr. 20

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