OAA computing section circular NK 638 50P/Arend

The following improved orbital elements, by S. Nakano, are from 58 observations 1951 to 1991, 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 +/- 1.18 arc second. Epoch = 1991 May 24.0 TT T = 1991 May 26.03780 TT Peri. = 47.07073 Node = 356.19441 (2000.0) Inc. = 19.93534 q = 1.8500593 AU e = 0.5370351 a = 3.9961117 AU n' = 0.12338082 P = 7.988 A1 = +0.017 A2 = -0.02291 T = 1951 Nov. 23.40947 TT Epoch = 1951 Nov. 10.0 TT Peri. = 44.48837 e = 0.5355684 Node = 358.39261 (2000.0) a = 3.9208706 AU Inc. = 21.70617 n'= 0.12694930 q = 1.8209762 AU P = 7.764 years T = 1959 Sept. 1.20339 TT Epoch = 1959 Aug. 20.0 TT Peri. = 44.59422 e = 0.5339582 Node = 358.30652 (2000.0) a = 3.9299915 AU Inc. = 21.65521 n'= 0.12650761 q = 1.8315404 AU P = 7.791 years T = 1967 June 13.66181 TT Epoch = 1967 May 30.0 TT Peri. = 44.68597 e = 0.5351648 Node = 358.22478 (2000.0) a = 3.9199344 AU Inc. = 21.66893 n'= 0.12699478 q = 1.8221235 AU P = 7.761 years T = 1975 May 24.69748 TT Epoch = 1975 May 28.0 TT Peri. = 46.92218 e = 0.5376375 Node = 356.35652 (2000.0) a = 3.9945272 AU Inc. = 19.96197 n'= 0.12345424 q = 1.8469197 AU P = 7.984 years T = 1983 May 22.39893 TT Epoch = 1983 May 26.0 TT Peri. = 46.93022 e = 0.5363944 Node = 356.32469 (2000.0) a = 4.0053385 AU Inc. = 19.93298 n'= 0.12295473 q = 1.8568975 AU P = 8.016 years The predicted orbit for the 1999 return is as follows: T = 1999 Aug. 3.76925 TT Epoch = 1999 Aug. 10.0 TT Peri. = 48.99427 e = 0.5303527 Node = 355.38279 (2000.0) a = 4.0811345 AU Inc. = 19.17903 n'= 0.11954536 q = 1.9166940 AU P = 8.245 years

Director, Computing Section Syuichi Nakano 1996 Apr. 11

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