OAA computing section circular NK 722A 55P/Tempel-Tuttle
The following improved orbital elements, by S. Nakano, are from 375 observations 1865-1998, 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 +/- 1.83 arc seconds. See previous computations on NK 646 (1997), NK 646R (1998) and NK 722 (1999). Epoch = 1998 Mar. 8.0 TT T = 1998 Feb. 28.09663 +/- 0.00008 (m.e.) TT Peri. = 172.49693 +/- 0.00028 Node = 235.25854 +/- 0.00016 (2000.0) Inc. = 162.48614 +/- 0.00003 q = 0.9765860 +/- 0.0000012 AU e = 0.9055014 +/- 0.0000001 a = 10.3343975 +/- 0.0000017 AU n' = 0.02966718 +/- 0.00000001 P = 33.222 +/- 0.0000082 years A1 = +0.1290 +/- 0.0691 A2 = +0.009438 +/- 0.000036 T = 1866 Jan. 11.62864 TT Epoch = 1865 Dec. 30.0 TT Peri. = 170.90707 e = 0.9060647 Node = 233.25252 (2000.0) a = 10.3958070 AU Inc. = 162.69046 n'= 0.02940470 q = 0.9765332 AU P = 33.519 years [ T = 1899 July 2.00318 TT Epoch = 1899 July 5.0 TT Peri. = 172.21185 e = 0.9063564 Node = 234.59385 (2000.0) a = 10.3858912 AU Inc. = 162.85280 n'= 0.02944682 q = 0.9725722 AU P = 33.471 years ] [ T = 1932 July 12.71171 TT Epoch = 1932 Aug. 1.0 TT Peri. = 172.69186 e = 0.9050928 Node = 235.06138 (2000.0) a = 10.3107665 AU Inc. = 162.70792 n'= 0.02976923 q = 0.9785664 AU P = 33.108 years ] T = 1965 Apr. 30.00947 TT Epoch = 1965 Apr. 30.0 TT Peri. = 172.56585 e = 0.9044350 Node = 235.11534 (2000.0) a = 10.2717963 AU Inc. = 162.70654 n'= 0.02993881 q = 0.9816238 AU P = 32.921 years The predicted orbit for the 2031 return is as follows: T = 2031 May 20.99418 TT Epoch = 2031 May 14.0 TT Peri. = 172.86762 e = 0.9077748 Node = 235.61055 (2000.0) a = 10.4567092 AU Inc. = 162.57498 n'= 0.02914819 q = 0.9643722 AU P = 33.814 years The following residuals in seconds of arc (or two decimals in units of degrees) are from the above orbital elements: 1366/ 971205 402 1.2+ 0.6+ 980123 143 0.0 0.1- 661025 500(8.81+ 7.97+)X 971205 402 0.9+ 0.1+ 980123 504 0.1- 0.5- 661026 (24.44+ 9.97-)X 971205 402 0.6+ 0.5- 980123 143 0.0 0.6- 661027 500(6.02+11.86-)X 971205 402 0.5+ 0.1- 980123 143 0.1+ 0.2- 661028 500(2.62+ 4.13-)X 971205 372 0.7- 1.2+ 980123 143 0.0 0.4- 661029 500(1.02+ 2.19-)X 971209 402 0.2- 0.3+ 980123 504 0.1+ 0.3- 1699/ 971209 402 0.4+ 0.5+ 980123 143 0.3- 0.3- 991026 500(2.04- 3.89-)Y 971209 402 0.3+ 0.3+ 980123 143 0.4- 0.4- 1865/ 971210 897 0.8- 0.3- 980123 143 0.0 0.1- 651221 545(31.1- 0.6+) 971210 897 0.0 0.0 980123 143 0.3- 0.5- 651221 545(21.8- 10.5+) 971210 897 0.2- 0.0 980123 143 0.1- 0.4- 651221 545 (0.6+ 24.3-) 971218 897 0.9+ 0.3+ 980123 143 0.1+ 0.3- 651222 545(10.6+ 28.9-) 971218 897 0.2- 0.8- 980123 143 0.1- 0.1- 651222 545(10.7- 32.5+) 971218 897 1.0+ 0.0 980123 143 0.2- 0.1- 651222 545 5.2+ 1.7+ 971221 897 0.1+ 0.4- 980123 143 0.0 0.3- 651222 055 (8.2- 48.3-) 971221 897 0.5+ 0.7+ 980123 143 0.2- 0.0 651222 534 (1.5+ 35.7-) 971221 897 0.2- 0.2- 980123 143 0.5- 0.4- 651223 534 (7.9- 39.0-) 971224 360 0.6+ 0.1- 980123 143 0.0 0.0 651223 534 (3.7+ 33.0-) 971224 360 0.4+ 0.0 980123 143 0.1- 0.5- 651225 534 (0.7+ 19.1-) 971225 402 0.9+ 0.3+ 980123 143 0.0 0.3- 651225 548 (3.0- 24.3-) 971225 402 0.6+ 0.0 980123 143 0.1+ 0.2- 651226 548 (3.3- 19.8-) 971225 402 0.7+ 0.1+ 980123 143 0.1- 0.5- 651226 055 (1.5+ 16.0-) 971227 355 0.6+ 0.5- 980123 143 0.1- 0.6- 651226 548 2.1- 3.6+ 971227 355 0.7+ 0.5- 980123 143 0.0 0.2- 651226 534 (2.4+ 22.5-) 971227 355 0.9+ 0.4- 980123 118 0.1+ 1.0- 651226 055 2.9+ 9.3- 971227 360 0.5+ 0.5- 980123 118 0.1- 0.7- 651227 055 7.5+ 3.5+ 971227 360 0.5+ 0.6- 980125 897 0.0 0.6+ 651229 548 7.1+ 2.5- 971227 897 0.7+ 0.1- 980125 897 0.2+ 0.4+ 651229 548 1.9- 1.3- 971227 897 0.3+ 0.7- 980125 758 0.3+ 0.4- 1866/ 971227 897 0.6+ 0.8- 980125 758 0.1+ 0.0 660102 035 (9.8+ 12.7-) 971228 372 0.6+ 0.8+ 980126 758 1.4+ 0.0 660102 548 (4.0+ 10.7+) 971230 568 0.2- 0.8- 980126 118 (1.9+ 2.2-) 660102 547 1.4- 4.7+ 971230 372 0.8- 1.0+ 980126 118 1.8+ 0.9- 660102 520 4.2- 4.6+ 971231 897 0.1+ 0.4- 980126 118 1.1+ 0.5- 660102 055 (6.9+ 12.7-) 971231 897 0.2+ 0.5- 980126 145 (0.1- 2.2-) 660102 548 2.3+ 7.8- 971231 897 0.5+ 0.7- 980126 145 0.2+ 0.7- 660103 531 (6.2- 10.8-) 1998/ 980126 145 (2.6- 2.5-) 660103 013 1.7- 5.7+ 980101 046 0.5- 0.2+ 980126 970 0.9- 0.0 660104 548 4.8+ 3.5- 980101 046 0.5- 0.1- 980126 970 0.3+ 0.2+ 660104 055 7.1+ 4.2- 980101 046 0.4- 0.1+ 980126 970 0.4+ 0.0 660104 055 3.2+ 8.3- 980101 758 0.1- 0.1+ 980126 970 1.1- 0.7+ 660104 520 5.1- 1.4+ 980101 758 0.8- 0.1- 980127 360 0.5+ 0.2+ 660104 520 2.9- 5.1+ 980101 372 0.2- 0.1- 980127 360 0.6+ 0.4+ 660104 534 1.1+ 2.1- 980102 966 0.0 1.5- 980127 360 0.5+ 0.3+ 660104 013 8.3+ 2.0+ 980102 966 0.4- 0.2- 980127 758 (2.3+ 0.4-) 660104 534 2.6- 1.0+ 980102 355 0.5+ 0.4- 980128 758 0.5+ 0.1- 660105 548 3.4- 5.9+ 980102 355 0.1+ 0.3+ 980128 758 0.4+ 0.5- 660105 035 (4.0+ 12.5+) 980102 355 0.1+ 0.5- 980128 758 0.2- 0.0 660105 055 2.9+ 3.0- 980102 867 0.4+ 0.3- 980129 758 0.7+ 0.2+ 660105 520 6.0- 1.3+ 980102 867 0.5+ 0.2- 980129 758 0.2- 0.2- 660105 534 7.4- 2.7+ 980102 867 0.2+ 0.4- 980129 403 0.5+ 0.0 660106 787 6.0- 2.9- 980105 352 0.3+ 0.3+ 980129 403 (2.0- 0.5-) 660106 547 (1.2+ 16.1+) 980105 352 0.5- 1.1- 980129 360 0.2- 1.0- 660106 534 0.3+ 3.8- 980105 352 0.1- 0.0 980129 360 0.1- 0.8- 660106 787 0.3- 9.5+ 980105 372 0.9- 1.8+ 980129 372 0.0 0.3- 660107 787(10.8- 3.6+) 980105 897 0.5+ 0.1- 980129 126 0.6+ 1.4+ 660107 055(10.1+ 10.4+) 980105 897 0.7+ 0.2- 980129 126 1.2- 1.1+ 660107 531 (2.6+ 17.8-) 980105 897 0.3+ 0.5- 980130 402 0.2+ 0.1- 660107 531 (1.8- 23.1-) 980106 372 0.2- 0.5+ 980130 402 0.4+ 0.0 660107 531 (6.4- 25.1-) 980106 587 0.2- 0.7- 980130 402 0.4+ 0.0 660107 058 7.9+ 2.5+ 980106 587 0.1+ 0.4- 980130 758 0.4+ 0.6+ 660107 055 9.9+ 4.2- 980107 561 0.6- 0.1- 980130 758 0.4+ 0.9+ 660107 545 2.2+ 4.3+ 980107 561 0.7- 0.2- 980131 758 0.2+ 0.5+ 660107 013 1.4+ 7.3- 980107 561 0.7- 0.2- 980131 355 0.2- 0.1+ 660108 055 5.2+ 3.3- 980107 897 0.1+ 0.4- 980131 355 0.3- 0.1+ 660109 787(13.8- 4.3-) 980107 897 0.1+ 0.1+ 980131 355 0.2- 0.3+ 660109 058 2.1- 0.4- 980107 897 0.5- 0.2- 980131 897 0.5+ 0.6+ 660109 055 2.0+ 0.2+ 980108 587 0.1+ 0.4- 980131 897 0.1- 0.7+ 660109 520 9.0- 4.8+ 980108 587 0.1+ 0.0 980131 605 (1.7- 2.0+) 660110 787(10.9- 9.4+) 980108 517 0.4- 0.9- 980131 605 0.9- 1.3+ 660110 058 8.5+ 1.3- 980108 517 0.2- 0.8- 980131 605 1.0- 1.4+ 660110 058 5.7+ 2.7+ 980108 517 0.5+ 0.6- 980131 758 0.1+ 0.1+ 660110 545 1.7- 9.0- 980108 517 0.9+ 0.7- 980131 758 0.7- 0.5+ 660110 545 4.6+ 7.3- 980109 403 0.0 0.5+ 980131 758 0.1+ 1.0+ 660111 058 1.9- 6.1+ 980109 403 0.6- 1.2+ 980201 046 0.4- 0.3- 660111 055 (3.7+ 16.3+) 980109 897 0.9+ 0.2- 980201 046 0.2- 0.6+ 660112 534 2.0- 0.0 980109 897 0.5+ 0.3+ 980201 046 0.0 0.0 660113 545 4.6- 6.2+ 980109 605 0.7+ 0.3- 980201 126 1.0- 0.2- 660114 787(14.0- 15.8-) 980109 605 0.4+ 1.2- 980201 126 1.4- 1.3+ 660114 787(10.7- 9.8-) 980109 605 0.9+ 0.1- 980201 126 (2.8+ 1.2+) 660114 066 8.6+ 2.4- 980109 143 (1.6+ 2.8-) 980203 691 (0.1+ 2.5-) 660115 789 3.8+ 1.9+ 980109 143 (1.1+ 3.7-) 980203 118 0.2+ 0.5+ 660115 066 1.1+ 2.0+ 980109 143 (1.0+ 2.1-) 980203 118 0.3+ 0.2+ 660115 545(12.9+ 7.6+) 980109 143 (1.0+ 2.6-) 980203 118 0.0 0.3+ 660115 013 4.7- 6.0- 980109 143 (1.2+ 2.3-) 980204 897 0.3- 0.0 660116 066 1.6- 4.6- 980109 143 (1.5+ 2.8-) 980204 897 0.5+ 0.3+ 660116 066 6.1+ 4.9+ 980109 143 (1.4+ 3.0-) 980205 046 0.3- 0.1+ 660116 055 5.0+ 3.9+ 980109 143 (0.7+ 2.3-) 980205 046 0.2- 0.0 660117 787 4.5- 4.6- 980109 143 (1.2+ 2.3-) 980205 046 0.1- 0.1- 660117 066 3.5+ 3.5- 980109 143 (1.3+ 3.2-) 980205 758 0.3- 0.7+ 660118 531(11.9- 5.0-) 980109 143 (0.7+ 2.1-) 980206 758 0.1- 0.6+ 660119 787 (0.3+ 18.7+) 980109 143 (0.9+ 2.4-) 980206 758 0.2+ 0.7+ 660119 066 0.1- 7.9+ 980109 143 (0.8+ 3.8-) 980206 355 0.5- 0.1+ 660119 055 4.6- 1.1- 980109 143 (0.9+ 1.8-) 980206 355 0.3- 0.2- 660119 531(33.9+ 1.4-) 980109 143 (1.2+ 2.4-) 980206 355 0.2+ 0.2- 660120 066 5.9+ 5.2- 980109 143 (1.4+ 2.7-) 980208 900 0.7- 0.3+ 660120 055 0.8- 3.7+ 980109 143 (0.8+ 2.3-) 980208 900 0.2+ 0.6+ 660120 055 (2.3+ 11.1+) 980109 143 (0.8+ 2.4-) 980208 046 0.0 0.3- 660120 531(22.4- 4.1-) 980109 143 (1.2+ 2.0-) 980208 046 0.0 0.3- 660121 066 (9.5+ 98.4-) 980109 143 (0.9+ 2.1-) 980208 046 0.2- 0.3- 660121 066 (6.0+ 23.6+) 980109 145 0.6+ 0.5+ 980209 605 0.5+ 0.4- 660121 534 0.2- 2.3- 980109 145 (2.7+ 0.5-) 980209 605 0.8+ 1.8+ 660122 066 0.2+ 1.4+ 980110 355 0.3+ 0.4+ 980209 605 0.5+ 1.6+ 660122 055 (8.0+ 11.3+) 980110 355 1.2+ 0.0 980211 758 0.5+ 0.9+ 660123 066 7.5+ 8.8- 980110 355 0.6+ 0.1+ 980211 758 0.6+ 1.1+ 660123 534 (5.3- 14.1-) 980110 145 0.1+ 0.1+ 980211 758 1.1+ 1.0+ 660124 035(20.0+ 1.7+) 980110 145 0.7+ 0.2- 980211 360 0.1- 0.1- 660128 534 (6.2- 14.2+) 980110 145 0.5+ 0.4+ 980211 360 0.0 0.0 660201 055(11.6+ 31.4-) 980110 145 0.2+ 0.3- 980211 360 0.0 0.3+ 660203 066 4.7+ 4.4+ 980110 145 0.0 0.4- 980212 504 0.8- 0.6- 660208 066 1.0+ 8.4+ 980114 504 0.0 0.9- 980212 504 0.8- 0.2- 660208 066 4.0+ 4.2+ 980114 504 0.1+ 0.0 980212 504 0.7- 0.8- 660208 066(13.3- 16.6-) 980114 504 0.2+ 0.8- 980212 504 0.8- 0.7- 1965/ 980114 504 0.2+ 0.9- 980212 504 0.6- 0.5- 650630 074 3.4- 1.4- 980114 504 0.4+ 0.8- 980212 504 1.0- 0.2- 650630 675 2.6+ 0.6+ 980114 504 0.1+ 0.1+ 980213 867 0.5- 0.3+ 650701 074 3.5- 4.1- 980114 504 0.1- 0.4- 980213 867 0.9- 0.4+ 650726 675 3.4+ 4.0+ 980114 504 0.1+ 0.0 980213 867 0.6- 0.5+ 1996/ 980115 970 0.6- 0.9- 980213 470 0.5- 0.3- 960512 809 1.6- 0.7+ 980115 970 0.9- 0.7- 980213 470 0.1- 0.3- 960512 809 1.1- 0.7+ 980115 970 0.7- 1.2- 980213 619 1.0+ 0.5+ 960512 809 1.4- 0.8+ 980115 970 1.0- 0.4- 980213 619 0.7+ 0.4+ 1997/ 980116 897 0.7- 0.4+ 980213 619 0.3+ 0.2+ 970304 568 0.1- 1.0+ 980116 897 0.1- 1.1+ 980214 587 0.4- 0.1+ 970304 568 (2.3+ 0.1-) 980116 897 0.0 1.2+ 980214 587 0.3- 0.0 970304 568 1.0+ 0.2+ 980116 355 0.3- 0.3+ 980214 619 0.1- 0.6- 970304 568 0.8+ 0.3+ 980116 355 0.0 0.0 980214 619 0.2- 0.0 970307 809 1.0- 0.2+ 980116 355 0.4- 0.3+ 980214 619 0.6+ 0.3+ 970415 568 0.3+ 0.5+ 980117 504 0.1+ 0.1+ 980215 403 0.3+ 0.6+ 970415 568 0.7+ 0.3+ 980117 504 0.1- 0.2- 980215 403 0.6- 0.4+ 970415 568 0.2- 0.6+ 980117 504 0.0 0.2+ 980217 372 0.3+ 0.2- 970417 568 0.7+ 0.1- 980117 504 0.1- 0.3- 980217 897 0.1- 0.5- 970618 568 0.5- 0.5+ 980117 504 0.3- 0.1+ 980217 897 0.3- 0.3- 970618 568 0.1- 0.2- 980117 504 0.2- 0.4+ 980217 758 0.1- 0.9- 971107 867 0.3- 0.0 980117 504 0.3- 0.0 980218 758 0.5- 0.2- 971107 867 0.2+ 1.4+ 980118 897 0.3+ 0.8+ 980218 758 0.2- 0.1- 971107 867 (0.0 2.3+) 980118 897 0.6+ 0.6+ 980219 758 0.1- 0.4+ 971108 867 0.3+ 0.0 980119 735 0.3+ 1.0- 980219 758 0.1- 1.0+ 971108 867 0.2- 0.4- 980119 735 0.3+ 1.1- 980219 758 0.3+ 0.6+ 971109 360 0.7+ 0.2+ 980119 735 0.2+ 0.7- 980221 758 0.1+ 1.1+ 971109 360 0.2- 0.9+ 980120 897 0.2- 0.1+ 980221 758 0.6+ 0.8+ 971109 360 0.6- 0.2- 980120 897 0.2- 0.4- 980222 900 0.2- 0.8- 971202 897 1.6- 1.5+ 980120 897 0.1- 0.2- 980222 900 0.8- 0.3- 971202 897 0.6- 0.8+ 980121 758 0.0 0.8+ 980227 118 1.8- 1.0- 971202 897 0.6+ 0.4+ 980121 758 0.9- 0.4+ 980227 118 0.2+ 1.3- 971202 897 0.9- 0.9+ 980121 758 0.5- 1.1+ 980302 897 0.2+ 0.1+ 971203 864 0.0 0.6- 980123 504 0.0 0.1- 980302 897 0.0 0.6- 971203 864 0.5+ 0.1- 980123 504 0.3+ 0.1+ 980302 360 0.2- 0.2- 971203 372 0.5+ 0.6- 980123 504 0.3- 0.2- 980302 360 0.2- 0.1- 971203 864 0.1+ 0.9+ 980123 143 0.4- 0.7- 980702 402 1.1- 0.0 971204 867 0.5+ 0.4+ 980123 504 0.1- 0.4- 980702 402 (2.3- 1.7-) 971204 402 1.2+ 0.4- 980123 143 0.0 0.3- 980705 402 (1.8- 3.9+) 971204 867 0.4+ 0.0 980123 143 0.4- 0.3- 980705 402 0.2- 0.6+ 971204 867 0.4+ 0.1- 980123 143 0.1+ 0.4- 980705 402 0.9- 0.6+ 971204 360 0.6+ 0.1+ 980123 504 0.1+ 0.2+ 971204 360 0.7+ 0.5+ 980123 143 0.4- 0.6- ( ) -------- Rejected Obs.
Director, Computing Section Syuichi Nakano 1999 Nov. 17