OAA computing section circular NK 1058 50P/Arend
The following improved orbital elements, by S. Nakano, are from 133 observations 1951 to 2000, 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 +/- 0.97 arc second. See a previous orbit in NK 638. Epoch = 1999 Aug. 10.0 TT T = 1999 Aug. 3.76949 +/- 0.00061 (m.e.) TT Peri. = 48.99443 +/- 0.00026 Node = 355.38260 +/- 0.00009 (2000.0) Inc. = 19.17915 +/- 0.00002 q = 1.9166989 +/- 0.0000023 AU e = 0.5303515 +/- 0.0000006 a = 4.0811349 +/- 0.0000017 AU n' = 0.11954534 +/- 0.00000008 P = 8.245 +/- 0.0000052 years A1 = +0.020 +/- 0.022 A2 = -0.02192 +/- 0.00036 T = 1951 Nov. 23.40984 TT Epoch = 1951 Nov. 10.0 TT Peri. = 44.48868 e = 0.5355667 Node = 358.39239 (2000.0) a = 3.9208695 AU Inc. = 21.70625 n'= 0.12694935 q = 1.8209822 AU P = 7.764 years T = 1959 Sept. 1.20312 TT Epoch = 1959 Aug. 20.0 TT Peri. = 44.59451 e = 0.5339566 Node = 358.30630 (2000.0) a = 3.9299910 AU Inc. = 21.65529 n'= 0.12650764 q = 1.8315464 AU P = 7.791 years T = 1967 June 13.66152 TT Epoch = 1967 May 30.0 TT Peri. = 44.68624 e = 0.5351633 Node = 358.22456 (2000.0) a = 3.9199344 AU Inc. = 21.66901 n'= 0.12699478 q = 1.8221295 AU P = 7.761 years T = 1975 May 24.69657 TT Epoch = 1975 May 28.0 TT Peri. = 46.92240 e = 0.5376360 Node = 356.35631 (2000.0) a = 3.9945268 AU Inc. = 19.96208 n'= 0.12345426 q = 1.8469253 AU P = 7.984 years T = 1983 May 22.39812 TT Epoch = 1983 May 26.0 TT Peri. = 46.93043 e = 0.5363930 Node = 356.32448 (2000.0) a = 4.0053388 AU Inc. = 19.93309 n'= 0.12295472 q = 1.8569031 AU P = 8.016 years T = 1991 May 26.03772 TT Epoch = 1991 May 24.0 TT Peri. = 47.07093 e = 0.5370338 Node = 356.19420 (2000.0) a = 3.9961125 AU Inc. = 19.93545 n'= 0.12338078 q = 1.8500649 AU P = 7.988 years The predicted orbit for the 2007 return is as follows: T = 2007 Nov. 1.18331 TT Epoch = 2007 Oct. 27.0 TT Peri. = 49.04161 e = 0.5292436 Node = 355.33720 (2000.0) a = 4.0877969 AU Inc. = 19.15486 n'= 0.11925322 q = 1.9243565 AU P = 8.265 years The following residuals in seconds of arc are from the above orbital elements: Date Code Residual(") Date Code Residual(") Date Code Residual(") 1951/ 1967/ 991202 897 1.1- 0.7- 511001 711 1.9+ 0.1- 670907 693 (4.9+ 0.2+) 991203 355 0.4- 0.2- 511005 012 (2.7- 0.1+) 670908 693 1.3+ 1.7- 991203 355 0.4+ 0.2- 511007 012 1.4+ 1.3- 671104 693 (3.5+ 0.1-) 991203 355 0.3- 0.5+ 511008 012 1.7- 1.2+ 671104 693 2.1+ 0.0 991207 360 0.1- 0.1- 511008 008 1.0- 0.9- 1975/ 991207 360 0.0 0.2- 511009 662 2.0- 1.4- 751006 691 1.8- 1.4- 991207 402 0.2+ 0.1- 511009 662 1.3- 1.3- 751007 691 (3.4- 1.5-) 991207 402 0.3+ 0.2+ 511009 711 0.4- 1.1+ 751204 691 0.2+ 0.0 991207 402 0.1+ 0.2- 511009 012 (1.0- 3.3-) 1976/ 991217 704 0.5+ 0.3- 511011 012 1.4- 0.2- 760110 801 0.4+ 0.2+ 991217 704 0.2+ 0.1+ 511012 012 (2.3+ 2.8-) 760112 372 (6.8- 0.5-) 991217 704 1.0- 0.3- 511023 012 1.1- 0.7+ 760126 691 1.4- 1.4- 991217 704 0.4- 0.5- 511025 012 2.0+ 0.8+ 760126 691 1.7- 1.9- 991217 704 1.5- 0.5+ 511027 672 0.2+ 1.7- 760131 801 (1.5+ 7.2-) 991223 900 0.8+ 0.0 511027 672 0.2+ 1.2- 1983/ 991223 900 (2.5- 0.8-) 511029 711 2.3+ 1.5- 830916 675 1.8+ 2.4- 991225 900 0.8+ 0.2+ 511030 711 1.6+ 1.4- 830917 675 0.8+ 1.2- 991225 900 0.0 0.1- 511104 711 1.6+ 1.0- 831214 675 1.5- 1.5- 991227 897 0.5- 1.1+ 511125 754 (0.8- 2.8-) 1991/ 991227 897 1.2- 1.0+ 511126 012 2.4+ 0.6- 910801 372 (2.8- 3.8+) 2000/ 511202 754 2.2+ 1.2- 910801 372 (4.2- 0.5+) 000104 367 0.2+ 0.6- 511219 754 2.0+ 0.2- 910802 372 0.7- 2.4+ 000104 367 0.1- 0.1- 511220 012 1.6+ 0.0 910802 372 0.2- 0.6+ 000104 367 0.5+ 0.2+ 511223 672 0.2- 1.1+ 910807 372 (3.7- 1.3+) 000104 610 0.0 0.6- 511224 754 2.1+ 1.2+ 910811 372 1.2- 0.5- 000104 610 0.0 0.5- 1952/ 1999/ 000104 610 0.1+ 0.3- 520127 672 1.7+ 0.6+ 990803 118 0.4+ 1.9+ 000104 610 0.2+ 0.2- 520219 672 (2.9- 2.5-) 990803 118 0.4+ 1.4+ 000104 610 0.2+ 0.1- 520316 754 (2.7+ 2.6+) 990803 118 0.4+ 1.5+ 000111 699 0.9- 0.9- 520423 711 1.3+ 0.4+ 990805 118 1.0- 0.8+ 000111 699 0.6+ 0.5+ 520424 711 (2.9+ 1.0+) 990805 118 0.1- 1.4+ 000111 699 0.5+ 0.8+ 1959/ 990805 118 0.6- 1.5+ 000118 611 (2.7- 0.7-) 590706 689 0.7- 0.2- 990914 557 0.3- 1.5+ 000126 610 0.1+ 0.5- 590707 689 1.3- 0.5- 990914 557 0.2- 1.4+ 000126 610 0.2- 0.5- 590707 689 0.2- 1.0- 991003 360 0.4+ 0.7+ 000126 610 0.4- 0.6- 590711 689 0.3- 0.2+ 991003 360 0.7+ 0.6+ 000126 610 0.7- 0.6- 590829 689 0.2+ 1.1+ 991007 703 0.2+ 1.8+ 000126 610 0.8- 0.5- 590829 689 0.3+ 1.7+ 991007 703 (4.4- 1.0+) 000204 360 0.5+ 0.6- 590925 689 0.3+ 0.2+ 991007 703 (3.8- 2.0+) 000204 360 0.5+ 0.5- 591004 689 0.9- 0.5+ 991008 897 0.5- 1.8+ 000219 587 1.3+ 0.0 591004 689 1.1- 0.3- 991008 897 1.1+ 1.3+ 000219 587 0.1- 0.9+ 591107 689 0.4+ 1.2+ 991020 360 0.4+ 1.5+ 000226 704 0.3+ 0.7- 591107 689 0.4+ 1.4+ 991020 360 0.6+ 1.3+ 000226 704 0.5+ 0.1- 591125 689 1.0- 0.7- 991031 704 0.9+ 1.5- 000226 704 0.3+ 0.9+ 591125 689 0.8- 0.1- 991031 704 0.3- 0.7+ 000309 360 0.1+ 0.5- 591203 689 0.7+ 1.9+ 991031 704 1.0- 0.6+ 000309 360 0.7+ 0.2- 591203 689 1.3+ 2.0+ 991109 897 (2.4+ 1.5+) 000327 704 0.6- 0.8- 591230 689 0.2+ 0.0 991109 897 0.4+ 0.1+ 000327 704 0.3- 0.9+ 591230 689 0.4+ 0.1- 991114 699 0.5- 0.2+ 000327 704 0.0 1.1+ 1960/ 991114 699 1.2- 0.7+ 000327 704 0.6+ 1.9+ 600124 689 0.6- 0.6- 991114 699 0.6+ 1.3+ 000430 695 0.3+ 1.3- 600124 689 0.4- 0.3+ 991116 360 0.4+ 0.5+ 000430 695 1.1+ 1.6- 600217 689 0.1- 0.6+ 991116 360 0.1+ 0.5+ 000430 695 0.6+ 1.3- 600217 689 0.9+ 0.2+ 991202 897 1.3- 0.4- ( ) -------- Rejected Obs.
Director, Computing Section Syuichi Nakano 2004 Apr. 8