OAA computing section circular NK 706 79P/du Toit-Hartley

The following improved orbital elements, by S. Nakano, are from 61 observations, mainly pre-T 1945 and 1982-1987, 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 +/- 1.10 arc seconds. Epoch = 1987 June 14.0 TT T = 1987 June 14.00844 +/- 0.00046 (m.e.) TT Peri. = 251.55970 +/- 0.00051 Node = 309.34763 +/- 0.00049 (2000.0) Inc. = 2.94246 +/- 0.00002 q = 1.1990617 +/- 0.0000007 AU e = 0.6012241 +/- 0.0000003 a = 3.0068556 +/- 0.0000009 AU n' = 0.18903195 +/- 0.00000008 P = 5.214 +/- 0.0000022 years A1 = +0.561 +/- 0.010 A2 = +0.00400 +/- 0.00011 T = 1945 Apr. 18.72090 TT Epoch = 1945 Apr. 15.0 TT Peri. = 201.53387 e = 0.5879864 Node = 359.55302 (2000.0) a = 3.0336415 AU Inc. = 6.92953 n'= 0.18653387 q = 1.2499015 AU P = 5.284 years [ T = 1950 Aug. 2.76313 TT Epoch = 1950 July 18.0 TT Peri. = 201.59641 e = 0.5869659 Node = 359.51113 (2000.0) a = 3.0365375 AU Inc. = 6.92009 n'= 0.18626708 q = 1.2541934 AU P = 5.291 years ] [ T = 1955 Nov. 25.03066 TT Epoch = 1955 Nov. 29.0 TT Peri. = 201.78296 e = 0.5827324 Node = 359.39388 (2000.0) a = 3.0509676 AU Inc. = 6.87374 n'= 0.18494717 q = 1.2730700 AU P = 5.329 years ] [ T = 1961 Mar. 27.12902 TT Epoch = 1961 Apr. 11.0 TT Peri. = 201.90784 e = 0.5822650 Node = 359.34227 (2000.0) a = 3.0518744 AU Inc. = 6.86678 n'= 0.18486474 q = 1.2748748 AU P = 5.332 years ] [ T = 1966 July 26.05923 TT Epoch = 1966 July 14.0 TT Peri. = 250.93028 e = 0.5982727 Node = 309.96070 (2000.0) a = 3.0162095 AU Inc. = 2.94247 n'= 0.18815329 q = 1.2116937 AU P = 5.238 years ] [ T = 1971 Oct. 23.27341 TT Epoch = 1971 Oct. 16.0 TT Peri. = 251.24461 e = 0.5987136 Node = 309.73935 (2000.0) a = 3.0150601 AU Inc. = 2.94004 n'= 0.18826090 q = 1.2099025 AU P = 5.235 years ] [ T = 1977 Jan. 11.73875 TT Epoch = 1977 Jan. 17.0 TT Peri. = 251.51376 e = 0.6010679 Node = 309.44126 (2000.0) a = 3.0074495 AU Inc. = 2.94333 n'= 0.18897596 q = 1.1997680 AU P = 5.216 years ] T = 1982 Mar. 30.44484 TT Epoch = 1982 Mar. 12.0 TT Peri. = 251.57666 e = 0.6023199 Node = 309.38225 (2000.0) a = 3.0043074 AU Inc. = 2.94411 n'= 0.18927250 q = 1.1947533 AU P = 5.207 years The predicted orbit for the 2003 return is as follows: T = 2003 Feb. 15.31649 TT Epoch = 2003 Feb. 10.0 TT Peri. = 253.06698 e = 0.5941004 Node = 307.97177 (2000.0) a = 3.0302339 AU Inc. = 2.89444 n'= 0.18684860 q = 1.2299709 AU P = 5.275 years The following residuals in seconds of arc are from the above orbital elements: 1945/ 820205 413 (3.7- 0.9-) 820623 474 0.2- 0.3- 450409 074 1.5- 0.4+ 820206 413 (1.5- 3.7-) 820623 474 0.5- 0.2+ 450410 074 2.9- 1.9+ 820207 413 (3.9- 7.0+) 1986/ 450412 074 0.0 0.0 820216 413 (2.8- 3.5+) 861227 691 0.3- 0.3+ 450412 078 1.3+ 0.7- 820217 372 3.0- 0.9- 861227 691 0.5- 0.6+ 450413 074 0.9+ 0.6+ 820218 707 0.5+ 1.4- 861227 691 0.0 0.6+ 450413 078 0.1- 0.3+ 820219 474 (3.5+ 3.7+) 861228 691 0.3- 0.2- 450414 074 0.3- 0.4- 820219 474 3.0+ 2.1+ 861228 691 0.3- 0.8+ 450415 074 0.5- 0.6- 820219 413 0.9- 1.1+ 861228 691 0.7- 1.3+ 450416 074 2.1+ 0.7- 820219 413 1.8- 0.5- 1987/ 450417 074 0.5- 1.2+ 820220 688(11.3- 2.6-) 870103 691 0.3+ 0.2- 450419 074 0.1- 0.8- 820220 688(17.6- 6.8+) 870103 691 0.3- 0.1- 450420 078 3.1+ 0.5+ 820220 474 0.0 2.5+ 870103 691 0.1+ 0.3+ 450428 074 (4.3+ 5.4+) 820222 474 0.6- 2.3- 870103 691 0.2+ 0.0 450429 074 (5.6+ 1.0+) 820222 474 0.1+ 1.8- 870103 691 0.2+ 0.1- 450430 074 (6.9+ 1.6+) 820224 707 0.2+ 1.8- 870125 691 0.6- 0.9- 450501 078 (5.0+ 3.7+) 820224 707 0.5- 1.7- 870125 691 0.7- 1.0- 450503 074 (5.4+ 5.0+) 820225 372 0.8- 2.3+ Y 870125 691 0.3- 0.6- 450504 074 (8.4+ 2.4+) 820228 675 (3.5+ 2.5-) 870327 691 (2.4+ 0.1-) 450505 074 (3.7+ 6.1+) 820228 675 0.9+ 1.7+ 870327 691 1.9+ 0.3+ 450507 074 (7.4+ 3.7+) 820321 474 0.2+ 0.4- 870327 691 1.9+ 0.4- 450511 074 (3.7+ 5.0+) 820321 474 1.8+ 0.9- 870328 691 2.0+ 0.4- 450513 074 (7.6+ 1.1+) 820327 474 0.1- 0.2+ 870328 691 0.7+ 0.5- 450514 078(11.4+ 4.3+) 820327 474 0.6+ 0.1+ 870328 691 0.7+ 0.8- 450517 074 (8.8+ 2.6+) 820422 707 0.4- 0.1- 870501 691 1.5+ 0.1+ 450517 078 (9.9+ 6.1+) 820423 474 0.0 0.5+ 870501 691 1.9+ 0.5- 450517 078 (9.2+ 6.2+) 820423 474 0.8+ 0.8+ 870501 691 0.7+ 0.0 450531 078 (8.6+ 10.7+) 820525 809 0.1+ 2.2- 870525 691 2.0- 0.3- 450531 078(10.9+ 7.2+) 820526 809 (1.8+ 4.8-) 870525 691 1.5- 0.3+ 450601 074 (2.4+ 6.6+) 820526 809 (3.0+ 4.4-) 870525 691 1.9- 0.0 450604 074(12.0+ 7.8+) 820528 474 0.6- 0.3- 1982/ 820528 474 0.2- 0.0 ( ) -------- Rejected Obs.

79P/du Toit-Hartley-B

The following improved orbital elements, by S. Nakano, are from 36 observations 1945-1982, 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 +/- 1.53 arc seconds. Epoch = 1982 Mar. 12.0 TT T = 1982 Mar. 30.81810 +/- 0.00301 (m.e.) TT Peri. = 251.58662 +/- 0.00244 Node = 309.37913 +/- 0.00529 (2000.0) Inc. = 2.94477 +/- 0.00041 q = 1.1946835 +/- 0.0000127 AU e = 0.6023885 +/- 0.0000061 a = 3.0046500 +/- 0.0000187 AU n' = 0.18924013 +/- 0.00000177 P = 5.208 +/- 0.0000486 years A1 = +0.079 +/- 0.070 A2 = +0.06434 +/- 0.00243 T = 1945 Apr. 18.70889 TT Epoch = 1945 Apr. 15.0 TT Peri. = 201.52361 e = 0.5879776 Node = 359.55284 (2000.0) a = 3.0335677 AU Inc. = 6.92908 n'= 0.18654067 q = 1.2498979 AU P = 5.284 years The predicted orbit for the 2003 return is as follows: T = 2003 Feb. 17.11939 TT Epoch = 2003 Feb. 10.0 TT Peri. = 253.06852 e = 0.5942620 Node = 307.98534 (2000.0) a = 3.0307013 AU Inc. = 2.89562 n'= 0.18680538 q = 1.2296707 AU P = 5.276 years The following residuals in seconds of arc are from the above orbital elements: 1945/ 450503 074 2.1- 3.3+ 820207 413 0.2- 0.9- 450409 074 1.1+ 0.7- 450504 074 0.7+ 0.5+ 820208 801 (0.8+ 5.0-) 450410 074 0.9- 1.0+ 450505 074 (4.1- 4.0+) 820216 413 1.1- 0.1- 450412 074 1.0+ 0.7- 450507 074 0.7- 1.2+ 820217 372 0.7- 1.4- 450412 078 2.1+ 1.4- 450511 074 (4.7- 1.4+) 820218 707 1.2+ 0.4- 450413 074 1.3+ 0.0 450513 074 0.8- 2.9- 820219 474 2.7- 0.4+ 450413 078 0.2+ 0.3- 450514 078 3.1+ 0.0 820219 474 1.7+ 3.2+ 450414 074 0.4- 0.9- 450517 074 0.7+ 2.4- 820219 413 0.9- 0.3+ 450415 074 1.2- 1.0- 450517 078 1.8+ 1.0+ 820219 413 (5.0- 4.3+) 450416 074 0.8+ 1.0- 450517 078 1.1+ 1.1+ 820220 474 (4.4+ 1.7+) 450417 074 2.2- 0.8+ 450531 078 3.3+ 2.3+ 820220 474 2.7+ 2.4+ 450419 074 2.8- 1.1- 450531 078 (5.5+ 1.2-) 820222 707(13.7+ 2.0-) 450420 078 0.1- 0.3+ 450601 074 2.8- 2.0- 820222 474 2.1+ 0.2- 450428 074 (1.9- 4.5+) 450604 074 (7.8+ 1.3-) 820224 801 (7.2+ 2.5+) 450429 074 0.9- 0.0 1982/ 820225 372 (3.9- 7.0+)Y 450430 074 0.1+ 0.5+ 820205 413 0.2- 0.5- 820228 675(10.5+ 4.9-) 450501 078 2.0- 2.4+ 820206 413 0.9- 0.3+ 820228 675 (9.3+ 0.5-) ( ) -------- Rejected Obs.

Director, Computing Section Syuichi Nakano 1999 Nov. 23

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