OAA computing section circular NK 711 36P/Whipple
The following improved orbital elements, by S. Nakano, are from 220 observations 1933-1996, 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 +/- 0.91 arc second. Epoch = 1995 Jan. 3.0 TT T = 1994 Dec. 22.42689 +/- 0.00023 (m.e.) TT Peri. = 201.87540 +/- 0.00011 Node = 182.49537 +/- 0.00010 (2000.0) Inc. = 9.92709 +/- 0.00002 q = 3.0938800 +/- 0.0000008 AU e = 0.2587129 +/- 0.0000002 a = 4.1736596 +/- 0.0000003 AU n' = 0.11559220 +/- 0.00000001 P = 8.527 +/- 0.0000010 years A1 = +0.332 +/- 0.017 A2 = -0.05283 +/- 0.00045 [ T = 1926 Feb. 4.25053 TT Epoch = 1926 Feb. 14.0 TT Peri. = 190.39804 e = 0.3497351 Node = 189.57346 (2000.0) a = 3.8194735 AU Inc. = 10.21683 n'= 0.13203797 q = 2.4836697 AU P = 7.465 years ] T = 1933 Aug. 1.43696 TT Epoch = 1933 July 27.0 TT Peri. = 190.54706 e = 0.3481898 Node = 189.50877 (2000.0) a = 3.8307512 AU Inc. = 10.20643 n'= 0.13145531 q = 2.4969227 AU P = 7.498 years T = 1941 Jan. 22.38526 TT Epoch = 1941 Jan. 6.0 TT Peri. = 190.44005 e = 0.3501540 Node = 189.52273 (2000.0) a = 3.8236759 AU Inc. = 10.21673 n'= 0.13182035 q = 2.4848005 AU P = 7.477 years T = 1948 June 25.73875 TT Epoch = 1948 June 18.0 TT Peri. = 190.10270 e = 0.3555729 Node = 189.30363 (2000.0) a = 3.8001049 AU Inc. = 10.24122 n'= 0.13304872 q = 2.4488907 AU P = 7.408 years T = 1955 Nov. 29.74786 TT Epoch = 1955 Nov. 29.0 TT Peri. = 190.44186 e = 0.3556189 Node = 189.21747 (2000.0) a = 3.8016524 AU Inc. = 10.24425 n'= 0.13296749 q = 2.4497131 AU P = 7.412 years T = 1963 Apr. 28.74412 TT Epoch = 1963 May 11.0 TT Peri. = 189.98893 e = 0.3527388 Node = 189.09870 (2000.0) a = 3.8177371 AU Inc. = 10.23742 n'= 0.13212806 q = 2.4710731 AU P = 7.459 years T = 1970 Oct. 9.41992 TT Epoch = 1970 Oct. 21.0 TT Peri. = 189.80934 e = 0.3511349 Node = 189.10030 (2000.0) a = 3.8212995 AU Inc. = 10.22919 n'= 0.13194333 q = 2.4795077 AU P = 7.470 years T = 1978 Mar. 27.54878 TT Epoch = 1978 Apr. 2.0 TT Peri. = 189.96872 e = 0.3522455 Node = 189.04596 (2000.0) a = 3.8110677 AU Inc. = 10.23979 n'= 0.13247504 q = 2.4686364 AU P = 7.440 years T = 1986 June 25.05416 TT Epoch = 1986 June 19.0 TT Peri. = 202.04262 e = 0.2606179 Node = 182.50372 (2000.0) a = 4.1623242 AU Inc. = 9.93687 n'= 0.11606472 q = 3.0775481 AU P = 8.492 years The predicted orbit for the 2003 return is as follows: T = 2003 July 6.65216 TT Epoch = 2003 July 20.0 TT Peri. = 202.21309 e = 0.2590414 Node = 182.39909 (2000.0) a = 4.1679279 AU Inc. = 9.93290 n'= 0.11583073 q = 3.0882619 AU P = 8.509 years The following residuals in seconds of arc are from the above orbital elements: 1925/ 550921 662 0.4- 0.2+ 850710 675 0.3+ 0.4+ 250821 094(0.07+ 0.01+)X 550921 662 0.6- 0.1+ 850725 691 1.7- 0.2- 250824 094(0.01+ 0.05+)X 551012 711 1.4+ 1.3- 850725 691 1.2- 0.6- 1933/ 551013 711 (4.8+ 0.5-) 850725 691 0.8- 0.0 331022 754 1.2+ 0.8+ 551014 711 (2.8+ 0.4-) 850726 691 0.3- 0.1+ 331023 754 0.5+ 0.1+ 551014 711 1.7+ 0.7- 850726 691 1.1- 0.0 331025 754 (3.3+ 1.8+) 551019 711 0.6+ 0.7- 850814 691 0.4- 0.9- 331115 754 0.9+ 0.0 551019 711 0.4+ 1.1- 850814 691 1.1- 0.5- 331116 754 (3.2+ 1.9-) 551024 662 0.1+ 0.6- 850814 691 0.8- 0.3- 331118 754 2.4+ 1.1- 551024 662 0.1+ 0.6- 850818 801 (0.1- 4.2+) 331218 754 0.4+ 0.6+ 1956/ 850917 801 0.8- 1.4- 1934/ 560104 662 0.8+ 0.5- 850920 691 0.1+ 0.2+ 340111 754 0.2- 1.0+ 560104 662 0.1+ 0.3- 850920 691 0.6- 0.1- 340116 754 1.1+ 1.3- 560204 754 1.9- 0.4- 850920 691 0.3- 1.0- 340117 754 (2.8+ 0.1+) 560205 754 2.1- 1.2+ 851019 691(52.3+ 70.8+) 340210 754 (4.1+ 1.4-) 560206 754 (3.8+ 1.8+) 851019 691(67.4+ 80.0+) 340213 754 1.7+ 0.6+ 1962/ 1986/ 340305 662 1.3+ 0.0 620504 689 0.4- 0.2- 860926 691 0.0 0.2+ 340305 662 0.4+ 0.8+ 620511 689 0.0 0.2+ 860926 691 0.0 0.5- 340310 754 2.3- 2.3+ 620529 689 1.7- 0.7+ 860926 691 0.4- 0.3- 340311 754 0.6- 1.3+ 620701 689 1.8+ 0.5+ 860926 691 0.2- 0.7- 340316 754 1.2+ 0.3+ 620708 689 0.5- 1.1+ 860927 691 0.7- 1.9- 340316 754 0.6- 0.0 620708 689 0.5- 0.7+ 860927 691 0.7- 2.1- 340319 754 2.1- 0.5+ 620731 689 1.9+ 0.2- 860927 691 1.6- 2.1- 341010 662 1.4+ 0.4- 620731 689 1.5+ 0.6- 861204 691 0.1+ 0.2- 341010 662 1.2+ 0.1+ 620928 689 0.6+ 0.4+ 861204 691 0.1+ 0.3- 341012 662 1.6+ 0.6- 621021 689 1.0+ 0.5- 861204 691 0.2+ 0.6- 341012 662 1.6+ 0.2- 621021 689 0.3+ 0.4- 1988/ 341105 662 0.2- 0.5- 621028 689 1.7+ 1.3+ 880115 691 0.5- 0.2+ 341105 662 0.3+ 0.1- 621028 689 0.8+ 1.2+ 880115 691 0.6- 0.3+ 341107 662 1.0+ 0.1+ 621121 689 2.2+ 1.6+ 880115 691 0.4- 0.2+ 341107 662 0.5- 0.3- 621121 689 (3.9+ 2.3+) 880115 691 0.6- 0.3+ 341210 662 0.1+ 1.5+ 621221 689 0.2+ 0.3- 880115 691 0.7- 0.4+ 341210 662 0.8+ 2.0+ 1963/ 880115 691 0.1- 0.9+ 1935/ 630827 689 (2.7+ 1.3+) 880121 691 0.3- 0.6- 350131 662 1.1+ 0.9- 630923 689 1.0+ 1.4+ 880121 691 0.3- 0.4- 350131 662 1.4- 0.5+ 631012 689 1.4+ 0.5- 880121 691 1.0- 0.6- 350226 662 0.7+ 1.4+ 631012 689 1.4+ 0.0 880314 691 0.1+ 1.4- 350328 662 1.0+ 0.9+ 631026 689 0.2+ 1.5+ 880314 691 0.2- 0.1- 1940/ 631026 689 0.3- 2.1+ 1993/ 400907 094(30.8- 28.0-)X 631115 689 1.8+ 0.7+ 930625 691 1.1+ 0.0 400927 711 0.0 0.0 631115 689 (2.5+ 1.7+) 930625 691 0.0 0.1- 400928 711 1.5- 0.2+ 631214 689 0.5- 0.5+ 930625 691 0.8- 0.6+ 400929 711 1.5- 0.1+ 1964/ 930626 691 0.0 0.5+ 401025 711 0.2- 1.4- 640107 689 (3.8+ 0.5-) 930626 691 0.3- 0.7+ 401026 711 0.2+ 0.8- 640109 689 1.0+ 0.9+ 930626 691 0.8- 0.1+ 401027 711 0.8- 1.0- 640109 689 1.0+ 0.5+ 930719 691 0.3- 0.3+ 401125 754 0.4- 1.3+ 640206 689 0.4+ 1.0- 930719 691 0.3+ 0.6+ 401125 754 1.7- 0.3- 640206 689 1.4+ 0.7- 930719 691 0.5+ 0.6+ 1941/ 640412 689 (1.2- 2.6+) 1994/ 411122 754 0.4- 0.2- 1969/ 940613 691 0.7- 0.5- 1947/ 690720 821(10.7- 2.5-) 940613 691 1.5- 0.1+ 470621 662 0.2- 0.2+ 690809 821 1.2+ 0.4+ 940613 691 0.4- 0.1- 470621 662 1.0- 0.9+ 690809 821 (3.3+ 0.8+) 940707 360 0.0 0.1- 470625 754 0.8- 1.8- 1970/ 940707 360 0.2- 0.0 470626 662 1.6- 0.4- 700929 046 1.1- 0.1+ 940803 360 0.2- 0.2+ 470710 662 1.8- 0.8+ 700929 046 0.8- 0.0 940803 360 0.5- 0.1+ 470710 662 1.3- 0.8+ 700929 046 (2.5- 3.2-) 940817 360 0.2- 0.1+ 470909 662 0.5- 0.0 700929 046 (2.2- 2.6-) 940817 360 0.3- 0.3+ 470909 662 0.1- 1.3+ 701022 370 (3.3+ 2.3-) 940908 360 0.6- 0.2+ 471112 662 1.0- 0.8+ 701123 046 2.1+ 1.3+ 940908 360 0.3- 0.2+ 471112 662 0.1- 1.0+ 701125 046 1.2- 0.1- 940928 691 0.1- 0.1- 1948/ 701126 046 (3.8+ 0.4-) 940928 691 0.4- 0.2- 480718 662 0.6- 0.6+ 701126 046 0.8+ 1.9+ 940928 691 0.2- 0.4- 480718 662 0.4- 0.6+ 701127 046 (4.4+ 1.2+) 941002 360 0.2- 0.2+ 480718 662 1.4- 0.9+ 701219 046 1.9+ 0.7+ 941002 360 0.0 0.1+ 480718 662 1.2- 1.0+ 1971/ 941006 691 (2.3- 0.0 ) 480903 711 0.8- 0.3- 710118 046 0.4+ 0.7+ 941006 658 0.4- 0.2+ 480928 662 0.9- 0.6+ 710118 046 0.3- 0.3+ 941006 691 (2.2- 0.5+) 480928 662 1.4- 0.5+ 710124 046 (2.8+ 6.4+) 941006 658 0.3- 0.2+ 480928 662 (3.3- 2.5+) 710129 046 (3.5+ 5.9+) 941006 658 0.4- 0.3+ 481001 711 0.8- 0.7+ 1977/ 941006 691 (3.2- 0.5-) 481130 662 1.5- 1.4- 770516 801 (1.3- 3.8+) 941025 360 1.0+ 0.7+ 481130 662 1.3- 1.4- 770526 821 (6.0- 2.8-)Y 941025 360 0.8+ 1.0+ 481130 662 1.5- 1.3- 770526 821 (6.8- 3.6-)Y 941026 691 (0.0 2.3+) 481130 662 1.4- 1.3- 770711 801 (4.1- 0.6-) 941026 691 0.7+ 1.8+ 1949/ 770712 323 (2.2- 3.0+) 941026 691 0.4+ 1.7+ 490127 662 0.1+ 0.2+ 770815 801 1.6- 1.2+ 941106 360 1.2+ 0.7+ 490127 662 0.1+ 0.3+ 770821 210 0.8- 1.5- 941106 360 1.7+ 0.7+ 1955/ 770821 210 0.5+ 1.4+ 941123 360 1.7+ 0.1+ 550525 662 1.6- 0.9+ 770821 210 0.9+ 0.7- 941123 360 1.2+ 0.0 550526 662 0.4- 0.1+ 770821 210 1.0- 1.0+ 941204 360 1.5+ 1.2+ 550626 754 1.2+ 1.1- 770821 210 0.7+ 1.1+ 941204 360 1.3+ 1.3+ 550626 754 0.3+ 1.5- 770821 210 0.2- 1.4+ 941222 360 0.8+ 1.0+ 550629 662 0.9+ 0.2+ 770821 210 1.2+ 1.4+ 941222 360 0.6+ 1.1+ 550629 662 0.6+ 0.1- 770822 210 1.4+ 1.7- 1995/ 550720 754 0.4+ 0.7+ 770822 210 0.7- 1.8- 950103 691 (0.9+ 9.4+) 550720 754 1.0+ 0.4- 1978/ 950103 691 0.7+ 0.6+ 550727 662 0.4- 0.8+ 781110 801 2.0- 0.3- 950201 691 0.3- 0.4+ 550727 662 0.3- 0.6+ 781129 801 1.2- 0.7+ 950201 691 0.2+ 0.3+ 550813 754 0.2- 2.2- 781228 801 0.6- 0.7- 950201 691 0.3- 0.4+ 550816 754 0.1- 0.8- 1985/ 1996/ 550818 754 (1.7+ 4.6-) 850710 675 0.4- 0.1- 960121 691 0.9- 0.8+ 550829 662 1.5+ 0.4+ 850710 675 0.6- 0.7- 960121 691 0.9- 0.6+ 550829 662 1.0+ 0.4- 850710 675 0.4- 0.0 960121 691 1.1- 0.7+ ( ) -------- Rejected Obs.
Director, Computing Section Syuichi Nakano 2000 May 12