OAA computing section circular NK 545 Periodic Comet Encke

The following improved orbital elements, by S. Nakano, are from 106 observations 1973 to 1989, including full planetary perturbations and non-gravitational effect of style II. The mean residual is +/- 1.30 arc seconds. Epoch = 1990 Nov. 5.0 ET T = 1990 Oct. 28.56654 +/- 0.00031 (m.e.) ET Peri. = 186.24503 +/- 0.00017 Node = 334.04057 +/- 0.00016 (1950.0) Inc. = 11.93908 +/- 0.00006 q = 0.3308852 +/- 0.0000006 AU e = 0.8502204 +/- 0.0000004 a = 2.2091478 +/- 0.0000001 AU nß = 0.30016975 +/- 0.00000002 P = 3.284 +/- 0.0000002 years A1 = +0.017 +/- 0.005 A2 = -0.00229 +/- 0.00003 T = 1974 Apr. 29.00271 ET Epoch = 1974 Apr. 23.0 ET Peri. = 185.93373 e = 0.8474512 Node = 334.21840 (1950.0) a = 2.2164961 AU Inc. = 11.98146 nß= 0.29867827 q = 0.3381237 AU P = 3.300 years T = 1977 Aug. 17.00935 ET Epoch = 1977 Aug. 5.0 ET Peri. = 185.95796 e = 0.8464722 Node = 334.20553 (1950.0) a = 2.2188879 AU Inc. = 11.93830 nß= 0.29819547 q = 0.3406610 AU P = 3.305 years T = 1980 Dec. 6.57755 ET Epoch = 1980 Nov. 17.0 ET Peri. = 185.98419 e = 0.8467585 Node = 334.19375 (1950.0) a = 2.2183280 AU Inc. = 11.94546 nß= 0.29830837 q = 0.3399399 AU P = 3.304 years T = 1984 Mar. 27.68496 ET Epoch = 1984 Apr. 10.0 ET Peri. = 185.99766 e = 0.8463318 Node = 334.18046 (1950.0) a = 2.2190771 AU Inc. = 11.92685 nß= 0.29815733 q = 0.3410016 AU P = 3.306 years T = 1987 July 17.40143 ET Epoch = 1987 July 24.0 ET Peri. = 186.26335 e = 0.8498922 Node = 334.03185 (1950.0) a = 2.2099386 AU Inc. = 11.92546 nß= 0.30000864 q = 0.3317291 AU P = 3.285 years The following residuals in seconds of arc are from the above orbital elements: - continued - P/Encke NK 545 - 2 Date/ UT R.A. (1950) Decl. *** O-C *** Code/Obs. h m s ¡ , " " " 1971 05 27.43056 22 39 32.24 -14 52 26.9 ( 0.5- 0.5-) 693/CT 1971 05 29.42465 22 39 46.17 -14 52 16.8 ( 0.2+ 0.1-) 691/ST 1972 08 15.28299 23 00.91 -04 50.2 ( 3.6- 4.6-) 691/ST Y 1972 08 15.35764 23 00.85 -04 50.5 ( 2.3+ 2.5-) 691/ST Y 1972 09 05.20593 22 41 09.62 -06 32 29.3 ( 7.4+ 1.4+) 801/HO 1972 09 13.22083 22 33 27.79 -07 12 37.1 ( 0.6- 2.1-) 691/ST 1972 09 13.29236 22 33 23.77 -07 12 57.6 ( 0.6+ 1.6-) 691/ST 1973 09 21.22523 00 01 43.51 +09 35 05.8 2.4+ 0.5- 691/ST 1973 09 21.25110 00 01 41.20 +09 34 55.4 1.7+ 0.9- 691/ST 1973 10 22.22205 23 17 02.58 +05 24 20.4 1.5+ 0.5- 691/ST 1973 10 22.26551 23 16 59.28 +05 23 58.6 1.9+ 0.3- 691/ST 1973 10 24.19965 23 14 37.32 +05 07 41.7 ( 1.9+ 5.7-) 801/HO 1974 05 30.71926 02 02 27.71 -13 04 42.8 (24.4- 2.9-) 474/JN 1974 07 20.43310 20 08 14.87 -40 53 00.2 0.2- 2.4+ 485/CA 1974 07 20.43333 20 08 14.89 -40 53 01.2 0.7+ 1.3+ 485/CA 1974 09 12.13194 19 01 36.32 -30 09 48.7 1.6+ 1.5- 691/ST 1974 09 12.17608 19 01 37.34 -30 09 28.6 1.9+ 1.0- 691/ST 1975 09 01.17745 22 22 48.54 -09 55 51.4 2.0- 0.9- 801/HO 1975 09 12.21972 22 12 00.82 -10 47 47.0 0.3- 1.3- 691/ST 1975 09 12.26419 22 11 58.28 -10 47 58.3 0.3- 0.8- 691/ST 1976 09 20.21875 23 23 40.88 +02 15 17.8 0.7+ 1.4- 691/ST 1976 09 20.26042 23 23 38.00 +02 15 01.9 1.1+ 1.6- 691/ST 1977 07 14.44444 05 37 10 +29 27.2 (37.0+ 6.8+) 688/LO Y 1977 07 14.76458 05 39 12 +29 27.2 (74.4+ 6.0+) 372/sk Y 1977 07 14.78681 05 39 16.20 +29 27 06.0 (20.7+ 0.1-) 372/sk 1977 07 20.45972 06 16 28.62 +29 05 54.7 (10.4+ 1.4-) 688/LO 1977 08 30.45556 11 46 33.81 -03 28 52.7 ( 0.1- 3.5-) 323/PR 1977 08 30.46597 11 46 38.46 -03 29 32.2 0.4- 2.7- 323/PR 1977 08 31.45556 11 54 00.85 -04 32 55.7 3.1- 0.5- 323/PR 1977 08 31.46330 11 54 04.29 -04 33 26.8 3.2- 2.1- 323/PR 1977 09 01.45694 12 01 25.75 -05 35 59.1 2.8- 0.4+ 323/PR 1977 09 02.45972 12 08 48.49 -06 37 58.9 2.5- 0.4- 323/PR 1977 09 05.45694 12 30 36.54 -09 35 43.4 2.3- 0.7- 323/PR 1977 09 07.45972 12 44 58.49 -11 27 44.7 2.9- 2.6- 323/PR 1977 09 09.46319 12 59 11.26 -13 13 54.4 0.1- 0.7- 323/PR 1977 09 11.30215 13 12 04.94 -14 46 00.3 0.9+ 2.0- 485/CA 1977 09 11.31327 13 12 09.56 -14 46 32.1 0.5+ 1.5- 485/CA 1977 09 11.45833 13 13 09.94 -14 53 31.5 2.6- 2.4+ 323/PR 1977 09 12.00096 13 16 56.26 -15 19 37.8 1.7- 2.1- 809/ES 1977 09 13.46736 13 27 03.68 -16 27 36.9 0.2+ 2.0- 323/PR 1977 09 18.47986 14 00 47.33 -19 53 45.2 0.9+ 1.1- 323/PR 1977 10 04.51250 15 36 54.62 -26 41 19.8 ( 3.5- 1.0-) 323/PR 1977 10 09.33521 16 01 50.64 -27 43 56.7 1.1+ 0.0 485/CA 1977 10 09.35973 16 01 58.07 -27 44 12.0 2.7+ 0.3+ 485/CA 1977 10 10.02562 16 05 15.30 -27 51 14.9 ( 3.4- 2.0-) 809/ES 1977 10 14.35050 16 25 49.58 -28 28 14.6 ( 8.6- 1.6-) 485/CA 1978 07 31.19454 22 29 39.49 -11 32 49.1 (84.1- 18.6+) 801/HO 1978 09 02.21497 21 53 31.48 -14 20 01.1 0.6+ 0.4- 801/HO 1979 08 31.26525 23 17 25.86 -00 48 42.7 0.0 2.7- 801/HO 1979 09 17.19872 23 00 29.32 -02 19 22.1 2.6- 2.0- 801/HO 1979 09 24.25418 22 53 31.50 -02 58 11.3 1.2+ 0.7+ 801/HO 1980 08 08.46458 02 39 47.6 +25 08 49 ( 8.0- 5.3+) 675/PL Y 1980 08 13.28166 02 46 24.70 +26 11 09.8 0.4- 0.2- 801/HO 1980 09 09.32078 03 28 09.52 +33 37 12.4 0.5+ 0.0 801/HO 1980 09 12.79306 03 34 42.2 +34 54 49 ( 5.5+ 19.6+) 372/sk Y - continued - P/Encke NK 545 - 3 Date/ UT R.A. (1950) Decl. *** O-C *** Code/Obs. h m s ¡ , " " " 1980 10 04.76719 04 41 47 +47 21.8 (10.4+ 16.5+) 372/sk Y 1980 10 04.97640 04 42 54.88 +47 31 52.8 ( 5.8+ 4.4+) 993/WL 1980 10 08.36310 05 04 09.27 +50 32 37.2 0.5+ 1.5- 801/HO 1980 10 08.71632 05 06 48 +50 53.0 (12.1+ 14.3+) 372/sk Y 1980 10 13.00213 05 47 14.86 +55 10 42.2 ( 9.6+ 13.3+) 022/PN 1980 10 13.01737 05 47 26.70 +55 11 34.2 (19.4+ 7.8+) 022/PN 1980 10 20.02492 07 53 39.87 +60 52 49.8 (16.9+ 2.7+) 022/PN 1980 10 20.04535 07 54 11.46 +60 53 12.5 (23.0+ 3.5+) 022/PN 1980 10 20.10086 07 55 35.66 +60 54 19.7 (31.0+ 14.4+) 547/BR 1980 10 20.11955 07 56 03.21 +60 54 26.5 (26.5+ 3.4+) 547/BR 1980 10 21.78333 08 40 27 +60 53.1 (18.6+ 7.1-) 372/sk Y 1980 11 03.42918 12 56 11.88 +32 01 43.1 ( 6.4+ 4.2-) 801/HO 1980 11 04.48368 13 06 01.90 +28 53 43.2 ( 2.2+ 5.5-) 688/LO 1980 11 04.50313 13 06 12.40 +28 50 15.7 ( 5.4+ 10.0-) 688/LO 1980 11 04.50938 13 06 15.42 +28 49 16.6 ( 1.9+ 4.0-) 688/LO 1980 11 18.84491 14 19 12.28 -00 49 47.9 1.0+ 0.5+ 882/sz 1980 11 18.84618 14 19 12.55 -00 49 55.1 1.3+ 0.4- 882/sz 1980 11 20.22219 14 23 39.29 -02 40 38.7 0.6- 1.9- 006/FB 1980 11 20.22929 14 23 40.60 -02 41 09.5 1.3- 0.6+ 006/FB 1982 07 30.43132 23 19 49.62 -02 41 23.3 0.9- 0.7- 675/PL 1984 01 27.42569 23 32 56.15 +05 38 22.0 ( 5.3- 3.3+) 372/sk 1984 02 25.63374 00 25 58.80 +10 14 08.3 ( 6.2- 2.1+) 168/KO 1984 02 25.63790 00 25 59.26 +10 14 11.4 ( 7.6- 2.6+) 168/KO 1984 02 29.63200 00 35 06.49 +10 56 03.0 ( 3.3- 3.5+) 168/KO 1984 03 01.63721 00 37 28.24 +11 06 12.6 1.8- 0.6- 168/KO 1984 03 02.63513 00 39 50.22 +11 16 11.6 2.8- 0.9+ 168/KO 1984 03 04.62957 00 44 37.87 +11 35 21.6 ( 2.2- 4.3+) 168/KO 1984 03 08.64010 00 54 24.92 +12 08 38.8 ( 4.7- 1.5+) 168/KO 1984 03 09.63715 00 56 50.77 +12 15 14.5 ( 5.3- 4.8-) 168/KO 1984 03 14.65145 01 08 32.89 +12 32 10.7 0.1+ 0.5+ 168/KO 1984 04 12.88576 23 56 14.69 -10 53 26.3 2.3- 0.0 323/PR 1984 04 13.89792 23 52 58.93 -11 30 47.0 0.1+ 0.5+ 323/PR 1984 04 23.74815 23 32 39.01 -15 12 17.5 ( 1.9- 4.9-) 474/JN 1984 04 23.75544 23 32 38.51 -15 12 24.7 ( 0.7- 6.1-) 474/JN 1984 04 26.89028 23 29 05.22 -15 50 05.5 0.7- 2.0- 323/PR 1984 04 27.89201 23 28 07.59 -16 00 20.3 0.9- 2.1- 323/PR 1984 05 02.87812 23 24 13.72 -16 42 31.1 0.7+ 0.2+ 323/PR 1984 05 03.88194 23 23 34.07 -16 49 48.2 2.5- 2.4- 323/PR 1984 05 26.76214 23 09 06.27 -19 20 54.7 1.8- 1.6+ 474/JN 1984 05 30.68242 23 05 25.38 -19 53 40.0 ( 6.8- 0.6-) 474/JN 1984 05 30.70834 23 05 23.97 -19 53 53.0 ( 3.4- 0.3+) 474/JN 1984 06 06.88524 22 56 53.39 -21 03 04.5 ( 2.8- 4.1-) 323/PR 1984 07 25.51852 20 55 51.57 -29 29 30.4 1.9- 1.4- 474/JN 1984 07 25.56192 20 55 44.04 -29 29 39.9 2.6- 1.3- 474/JN 1985 07 26.38851 23 01 44.43 -06 06 37.6 0.0 0.5- 691/ST 1985 07 26.39976 23 01 43.90 -06 06 40.2 1.0- 0.8- 691/ST 1985 07 26.41860 23 01 43.13 -06 06 44.5 0.8- 1.3- 691/ST 1985 07 28.43222 23 00 19.42 -06 13 40.2 0.4- 0.2+ 675/PL 1985 07 28.43597 23 00 19.27 -06 13 41.1 0.2- 0.1+ 675/PL 1985 07 29.46146 22 59 35.14 -06 17 22.5 0.2+ 0.5- 675/PL 1985 07 29.46545 22 59 34.95 -06 17 23.5 0.0 0.6- 675/PL 1985 08 15.25980 22 45 28.86 -07 29 01.3 0.5- 0.8- 691/ST 1985 08 15.27624 22 45 28.05 -07 29 06.0 1.3+ 0.8- 691/ST 1985 08 15.29233 22 45 27.08 -07 29 10.4 0.6+ 0.6- 691/ST 1986 08 31.30354 23 54 53.97 +05 42 20.1 0.6+ 1.1- 691/ST - continued - P/Encke NK 545 - 4 Date/ UT R.A. (1950) Decl. *** O-C *** Code/Obs. h m s ¡ , " " " 1986 08 31.31297 23 54 53.37 +05 42 18.7 0.2+ 0.1- 691/ST 1986 08 31.32117 23 54 52.85 +05 42 16.6 0.1- 0.1- 691/ST 1986 09 01.37154 23 53 49.10 +05 37 41.7 1.1- 0.9- 691/ST 1986 09 01.37889 23 53 48.66 +05 37 40.7 0.8- 0.1+ 691/ST 1986 09 02.31584 23 52 51.10 +05 33 28.0 0.2- 0.3- 691/ST 1986 09 02.33536 23 52 49.86 +05 33 22.7 0.3- 0.3- 691/ST 1986 09 02.34067 23 52 49.56 +05 33 21.0 0.3+ 0.6- 691/ST 1986 09 25.32557 23 26 15.10 +03 19 25.8 0.5+ 1.0- 691/ST 1986 09 25.33731 23 26 14.23 +03 19 21.5 0.4+ 0.6- 691/ST 1986 09 26.25403 23 25 07.90 +03 13 11.1 0.2- 0.5+ 691/ST 1986 09 26.27301 23 25 06.46 +03 13 04.0 0.9- 1.1+ 691/ST 1986 09 26.28267 23 25 05.73 +03 12 59.9 1.1- 1.0+ 691/ST 1987 08 13.33563 11 57 53.97 -10 00 25.1 3.0- 0.0 474/JN 1987 08 13.34514 11 57 58.60 -10 01 02.3 0.4- 1.3- 474/JN 1987 08 15.49514 12 14 49.41 -12 13 47.6 1.9+ 0.8+ 323/PR 1987 08 17.49028 12 30 27.59 -14 11 19.1 1.4- 0.2+ 323/PR 1987 08 18.46528 12 38 05.16 -15 06 29.4 ( 3.5- 1.5-) 323/PR 1987 08 19.35453 12 45 02.20 -15 55 19.7 ( 5.4+ 2.1-) 474/JN 1987 08 19.36771 12 45 07.94 -15 55 59.2 0.6- 1.1+ 474/JN 1988 05 17.59851 22 55 36.27 -08 49 05.8 2.3+ 0.4+ 568/MK 1988 05 18.57964 22 56 00.38 -08 46 16.4 0.5+ 1.5+ 568/MK 1988 09 09.32013 21 56 14.64 -13 16 35.8 0.9+ 0.9+ 568/MK 1988 09 09.32431 21 56 14.44 -13 16 36.3 1.6+ 1.4+ 568/MK 1988 09 09.33074 21 56 14.02 -13 16 38.2 1.1+ 1.1+ 568/MK 1988 09 09.33951 21 56 13.56 -13 16 39.7 2.0+ 1.8+ 568/MK 1988 09 09.34787 21 56 13.10 -13 16 42.0 2.5+ 1.6+ 568/MK 1988 09 09.35606 21 56 12.69 -13 16 43.2 ( 3.7+ 2.4+) 568/MK 1988 09 11.31950 21 54 19.51 -13 24 40.7 1.5- 1.7+ 568/MK 1988 09 11.32957 21 54 18.98 -13 24 43.6 0.7- 1.2+ 568/MK 1988 09 12.35485 21 53 21.22 -13 28 43.5 1.3- 2.4+ 568/MK 1988 09 12.36193 21 53 20.80 -13 28 45.0 1.5- 2.6+ 568/MK 1988 09 12.39330 21 53 18.96 -13 28 51.2 ( 2.3- 3.6+) 568/MK 1989 06 01.60266 23 49 16.30 +01 01 46.5 1.1+ 0.2- 568/MK 1989 06 01.61390 23 49 16.51 +01 01 48.7 0.2+ 0.5- 568/MK 1989 06 02.54389 23 49 39.00 +01 05 17.9 0.9- 1.7+ 568/MK 1989 06 02.57535 23 49 39.75 +01 05 23.7 0.7- 0.5+ 568/MK 1989 06 02.59171 23 49 40.13 +01 05 27.9 0.8- 1.1+ 568/MK 1989 08 01.50859 23 48 37.69 +02 23 40.1 0.3- 0.6+ 568/MK 1989 08 01.51847 23 48 37.36 +02 23 39.0 0.4- 0.6+ 568/MK 1989 08 01.52836 23 48 37.06 +02 23 38.1 0.1- 0.7+ 568/MK 1989 08 02.46020 23 48 07.39 +02 21 58.2 0.5+ 1.1+ 568/MK 1989 08 02.48175 23 48 06.67 +02 21 55.8 0.5+ 1.1+ 568/MK 1989 12 27.22372 22 39 51.65 -04 07 08.3 0.4- 0.1+ 568/MK 1989 12 27.22940 22 39 51.81 -04 07 07.3 0.9- 0.0 568/MK 1989 12 27.23509 22 39 51.98 -04 07 06.0 1.2- 0.2+ 568/MK 1989 12 27.26958 22 39 53.16 -04 06 59.3 1.1- 0.4+ 568/MK ( ) -------- Rejected Obs.

Director, Computing Section Syuichi Nakano 1990 May 20

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