OAA computing section circular NK 549 Periodic Comet Gale ( 1927 VI = 1938 )

The following improved orbital elements, by S. Nakano, are from 35 observations 1927 to 1938, including full planetary and five minor planets pertubations and non-gravitational effect A1, A2 and A3 of style II. The mean residual is +/- 2.07 arc seconds. Epoch = 1927 June 9.0 ET T = 1927 June 14.55656 +/- 0.00088 (m.e.) ET Peri. = 209.84033 +/- 0.00109 Node = 67.42069 +/- 0.00034 (1950.0) Inc. = 11.63218 +/- 0.00010 q = 1.2136199 +/- 0.0000039 AU e = 0.7587516 +/- 0.0000234 a = 5.0305811 +/- 0.0000009 AU nß = 0.08735280 +/- 0.00000002 P = 11.283 +/- 0.0000032 years A1 = -0.800 +/- 0.605 A2 = +1.25118 +/- 0.12860 A3 = -3.96486 +/- 0.75621 T = 1938 June 18.47558 ET Epoch = 1938 July 1.0 ET Peri. = 209.11813 e = 0.7608102 Node = 67.25620 (1950.0) a = 4.9455078 AU Inc. = 11.72594 nß= 0.08961645 q = 1.1829152 AU P = 10.998 years (T = 1949 Apr. 27.46189 ET Epoch = 1949 May 4.0 ET Peri. = 209.99680 e = 0.7648446 Node = 66.07698 (1950.0) a = 4.8955652 AU Inc. = 11.46538 nß= 0.09099129 q = 1.1512188 AU P = 10.832 years ) (T = 1960 Feb. 4.07519 ET Epoch = 1960 Jan. 27.0 ET Peri. = 209.80733 e = 0.7649860 Node = 66.04854 (1950.0) a = 4.8936275 AU Inc. = 11.44052 nß= 0.09104534 q = 1.1500712 AU P = 10.825 years ) (T = 1970 Nov. 28.86914 ET Epoch = 1970 Nov. 30.0 ET Peri. = 209.78074 e = 0.7635646 Node = 65.80443 (1950.0) a = 4.9210804 AU Inc. = 11.36759 nß= 0.09028454 q = 1.1635177 AU P = 10.917 years ) (T = 1981 Nov. 15.08961 ET Epoch = 1981 Nov. 12.0 ET Peri. = 210.50068 e = 0.7598493 Node = 64.64472 (1950.0) a = 4.9848092 AU Inc. = 11.13962 nß= 0.08855871 q = 1.1971054 AU P = 11.129 years ) The following improved orbital elements, by S. Nakano, are from 35 observations 1927 to 1938, including full planetary and five minor planets pertubations and non-gravitational effect A1 and A2 of style II. The mean residual is +/- 2.79 arc seconds. - continued - P/Gale NK 549 - 2 Epoch = 1927 June 9.0 ET T = 1927 June 14.56101 +/- 0.00066 (m.e.) ET Peri. = 209.84437 +/- 0.00102 Node = 67.42174 +/- 0.00045 (1950.0) Inc. = 11.63242 +/- 0.00013 q = 1.2136343 +/- 0.0000042 AU e = 0.7586287 +/- 0.0000065 a = 5.0280810 +/- 0.0000010 AU nß = 0.08741796 +/- 0.00000003 P = 11.275 +/- 0.0000034 years A1 = +2.297 +/- 0.231 A2 = +0.78790 +/- 0.12327 T = 1938 June 18.47453 ET Epoch = 1938 July 1.0 ET Peri. = 209.11778 e = 0.7607389 Node = 67.25481 (1950.0) a = 4.9439581 AU Inc. = 11.72522 nß= 0.08965859 q = 1.1828970 AU P = 10.993 years (T = 1949 Apr. 28.45999 ET Epoch = 1949 May 4.0 ET Peri. = 209.99934 e = 0.7648124 Node = 66.06818 (1950.0) a = 4.8945709 AU Inc. = 11.46259 nß= 0.09101902 q = 1.1511424 AU P = 10.829 years ) (T = 1960 Feb. 6.90384 ET Epoch = 1960 Jan. 27.0 ET Peri. = 209.80811 e = 0.7650006 Node = 66.03865 (1950.0) a = 4.8931882 AU Inc. = 11.43731 nß= 0.09105760 q = 1.1498964 AU P = 10.824 years ) (T = 1970 Dec. 4.23233 ET Epoch = 1970 Nov. 30.0 ET Peri. = 209.77518 e = 0.7636395 Node = 65.79769 (1950.0) a = 4.9211766 AU Inc. = 11.36436 nß= 0.09028189 q = 1.1631716 AU P = 10.917 years ) (T = 1981 Nov. 23.46315 ET Epoch = 1981 Nov. 12.0 ET Peri. = 210.45467 e = 0.7600150 Node = 64.68271 (1950.0) a = 4.9849105 AU Inc. = 11.14139 nß= 0.08855601 q = 1.1963037 AU P = 11.130 years ) The predicted orbit for the 1993 return from the first set is as follows: T = 1993 Jan. 12.58377 ET Epoch = 1993 Jan. 13.0 ET Peri. = 214.56009 e = 0.7581810 Node = 59.98701 (1950.0) a = 5.0385694 AU Inc. = 10.76832 nß= 0.08714515 q = 1.2184217 AU P = 11.310 years The predicted orbit for the 1993 return from the second set is as follows: T = 1993 Jan. 24.14859 ET Epoch = 1993 Jan. 13.0 ET Peri. = 214.17099 e = 0.7581986 Node = 60.31731 (1950.0) a = 5.0433343 AU Inc. = 10.78256 nß= 0.08702167 q = 1.2194854 AU P = 11.326 years - continued - P/Gale NK 549 - 3 The following residuals in seconds of arc are from the above two set orbital elements: From From Date/ UT R.A. (1950) Decl. The second set The first set Cde/Obs. h m s ¡ , " " " " " 1927 06 10.96486 21 59 11.64 -31 40 45.8 4.7+ 5.7- 4.2+ 2.9- 078/JO 1927 06 10.97906 21 59 16.26 -31 40 51.8 3.8+ 1.5- 3.3+ 1.3+ 078/JO 1927 06 11.92543 22 04 33.59 -31 50 48.7 3.6+ 0.8- 2.9+ 2.0+ 078/JO 1927 06 12.91889 22 10 01.06 -32 00 40.5 2.8- 4.9- 3.8- 2.2- 078/JO 1927 06 14.10210 22 16 23.34 -32 11 35.3 1.6- 6.1- 2.8- 3.6- 078/JO 1927 06 14.10868 22 16 25.57 -32 11 40.4 ( 0.9+ 7.7-) ( 0.3- 5.2-) 078/JO 1927 06 15.02666 22 21 18.16 -32 19 13.5 ( 3.9- 2.4-) ( 5.2- 0.1-) 078/JO 1927 06 15.03358 22 21 20.15 -32 19 21.1 ( 5.5- 6.4-) ( 6.9- 4.0-) 078/JO 1927 06 16.14512 22 27 06.57 -32 27 54.4 3.6+ 5.2- 2.1+ 3.0- 078/JO 1927 06 16.15378 22 27 08.97 -32 27 59.4 1.3+ 6.5- 0.2- 4.3- 078/JO 1927 06 17.98280 22 36 23.82 -32 40 14.6 ( 5.0- 2.2-) ( 6.7- 0.3-) 078/JO 1927 06 17.99180 22 36 26.06 -32 40 22.4 ( 9.7- 6.1-) (11.3- 4.2-) 078/JO 1927 06 20.02270 22 46 14.59 -32 51 46.4 ( 5.6- 5.4+) ( 7.4- 7.0+) 078/JO 1927 06 20.02963 22 46 16.56 -32 51 52.4 ( 4.7- 1.8+) ( 6.5- 3.5+) 078/JO 1927 06 20.94414 22 50 33.23 -32 56 20.3 1.9+ 0.8+ 0.1+ 2.3+ 078/JO 1927 06 20.95245 22 50 35.52 -32 56 30.7 ( 2.3+ 6.7-) ( 0.5+ 5.2-) 078/JO 1927 06 22.95842 22 59 33.94 -33 04 56.8 ( 9.4- 5.7+) (11.2- 6.9+) 078/JO 1927 06 22.96603 22 59 36.52 -33 05 05.9 1.5- 1.1- 3.2- 0.0 078/JO 1927 06 22.97519 22 59 39.26 -33 05 05.9 3.2+ 2.9- 1.4+ 1.7- 051/CC 1927 06 23.99531 23 04 01.87 -33 08 51.4 1.1+ 0.7- 0.6- 0.3+ 051/CC 1927 06 24.95364 23 08 01.40 -33 12 06.2 ( 6.0- 0.8-) ( 7.7- 0.1+) 078/JO 1927 06 24.96472 23 08 04.36 -33 12 07.8 2.5- 0.4+ 4.1- 1.3+ 078/JO 1927 06 24.99329 23 08 11.61 -33 12 10.5 1.6+ 0.5+ 0.0 1.4+ 051/CC 1927 06 26.95026 23 15 59.83 -33 17 49.8 2.2+ 2.7+ 0.7+ 3.3+ 078/JO 1927 07 08.00609 23 51 10.39 -33 36 29.9 3.6- 3.0+ 3.6- 2.3+ 078/JO 1927 07 20.93160 00 14 45.50 -33 51 13.7 0.8- 1.1+ 1.2+ 0.5- 078/JO 1927 07 23.97708 00 17 51.25 -33 55 12.8 0.1+ 2.9+ 2.5+ 1.2+ 078/JO 1927 08 09.05351 00 21 05.49 -34 10 27.5 1.9- 3.0+ 1.7+ 0.9+ 078/JO 1927 08 19.86026 00 13 45.29 -33 58 06.9 5.5- 0.9- 1.8- 3.0- 078/JO 1927 08 29.90227 00 03 01.59 -33 16 43.3 2.9- 1.0+ 0.6+ 0.8- 078/JO 1927 09 02.87612 23 58 18.93 -32 50 48.3 (42.5- 4.9+) (39.2- 3.2+) 078/JO 1938 05 05.46787 17 38 24.50 -14 51 29.7 3.4+ 0.5+ 1.8+ 0.0 662/LI 1938 05 06.35706 17 41 38.27 -15 16 16.1 0.0 1.3+ 1.6- 0.8+ 754/YK 1938 05 11.13860 18 00 26.91 -17 43 05.5 1.5+ 0.3+ 0.1- 0.2- 822/CO 1938 06 02.34879 20 08 13.21 -32 46 45.5 1.0+ 1.4+ 1.5+ 0.4- 754/YK 1938 06 02.35781 20 08 16.61 -32 47 06.5 4.2- 2.0+ 3.7- 0.1+ 754/YK 1938 06 03.35357 20 15 32.75 -33 25 45.6 0.5- 2.7+ 0.2+ 0.8+ 754/YK 1938 06 03.35877 20 15 34.93 -33 25 57.7 1.1- 2.6+ 0.3- 0.7+ 754/YK 1938 06 04.93852 20 27 16.55 -34 24 13.5 ( 3.8- 9.1-) ( 2.8- 11.0-) 078/JO 1938 06 07.06603 20 43 10.03 -35 37 21.2 ( 3.3- 10.1-) ( 2.0- 12.2-) 078/JO 1938 06 08.34634 20 52 48.84 -36 17 53.0 2.2+ 2.5+ 3.8+ 0.4+ 754/YK 1938 06 08.35676 20 52 52.93 -36 18 12.9 3.7- 1.8+ 2.1- 0.2- 754/YK 1938 06 09.92239 21 04 39.82 -37 02 55.1 ( 8.4- 0.4-) ( 6.6- 2.4-) 078/JO 1938 06 19.90340 22 15 07.93 -40 07 43.8 5.9- 0.8+ 3.2- 0.7- 078/JO 1938 06 21.95542 22 27 52.70 -40 26 15.7 0.4- 3.2+ 2.3+ 1.8+ 078/JO 1938 06 25.98607 22 50 37.17 -40 48 41.2 ( 1.1+ 5.0-) ( 3.6+ 6.2-) 078/JO 1938 06 28.95639 23 05 22.28 -40 55 58.4 ( 9.3+ 14.7-) (11.5+ 15.6-) 078/JO 1938 07 02.94581 23 22 28.73 -40 57 02.1 ( 8.4+ 13.0-) (10.2+ 13.7-) 078/JO 1938 07 05.02865 23 30 12.59 -40 54 45.1 1.0- 1.8+ 0.4+ 1.2+ 078/JO 1938 07 22.06950 00 08 02.72 -40 13 29.0 5.2+ 0.2+ 3.1+ 0.3+ 078/JO 1938 07 23.94457 00 09 51.98 -40 08 21.6 0.3+ 0.6- 2.3- 0.5- 078/JO 1938 07 29.03895 00 12 51.17 -39 54 14.7 3.0+ 0.0 0.9- 0.3+ 078/JO 1938 07 29.88634 00 13 06.91 -39 51 46.4 ( 0.4+ 9.2-) ( 3.7- 8.8-) 078/JO ( ) -------- Rejected Obs.

Director, Computing Section Syuichi Nakano 1991 April 4

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