Page 2
For facilitating the Computation of such Occultations of Planets and Stars by the Moon as will be visible in North America during the year 1851.
Jan. 4 Lal. 40386 811 51.8 0 05.7 -9.5159 9.9753 +0.3624 +1.0283.5381 +.0978 Newfoundland 5 Lal. 42684 8 7 51.8 + 76 14.1-9.4392 9830 +0.5818 1.0474 -5272 +.1383 5 B.A.C.7640 79 51.8 +105 37.1-9.4358 .9832 +0.8886 1.1830.5263 +.1401 Oregon. 6 543 Hora 22 9 0 13.1-9.3570 .9885 +0.3212 0.8271.5217 +.1582 Newfoundland. 6 604 Hora 22 9 Š 11.8 + 26 36.9-9.3570 .9885 +0.4739 1.1166.5205 +.1602 N. E. Staten, 6 607 Hora 22 9 5 11.8 + 26 35.8 -9.3515 .9888 +0.4544 0.9281.5208 +.1602 6614 Hora 22 8 8 5 11.8 + 26 32.0-9.3353 .9896 +0.3872 0.3917-5218 +.1602 Southern States. 6691 Hora 2 2 837 36.8 + 62 04.0-9.3312 .9898 +0.7593 0.6473.5210 +.1632 6767 Hora 22 9 9 21.8 + 87 30.7 -9.3273 .9900 +0.7216 0.8044-5200+.1637 Oregon & California. 6 814 Hora 22 9 10 51.8 +109 30.0-9.3292.9899 +0.8774 1.1128.5190 +.1650 Oregon. 6816 Hora 2 2 8 10 51.8 +109 28.2-9.3161 .9905 +0.8461 0.6976.5198 +.1650 California de Mexico. 6881 Hora 22 8 112 36.8 +134 59.4 -9.3226 .9902 +0.8833 1.1970.5186 +.1662 Oregon. 7 260 Hora 23 8 o 27.5 -9.2280.9937 +0.3465 1.1970-5156 +.1782 Newfoundland. 23 8 4 33.8 + 6 55.6 -9.2172.9940 +0.4563 1.0144.5157 +.1782 New foundland. 8 4 33.8 + 6 45.9–9.2210 .9939 +0.2803 1.1087-5157 +.1782 Lower Canada. 7 322 Hora 23 8 5 39.8 + 22 49.8 -9.2074 -9943 +0.3228 0.9739-5158 +.1788 7 B.A.C. 8154 7 5 39.8 + 22 49.7 -9.2074 .9943 +0.32 14 0.9745-5158 +.1788 7 336 Hora 239 6 21.8 + 33 11.2-9.1945 .9946 +0.4966 0.7971.5157 +.1794 7 364 Hora 239 7 21.8 + 47 54.3 -9.1771 9951 +0.6586 0.5824-5159 +.1800 7 573 Hora 23 8 13 03.8 +131 10.6 -9.1588 -9954 +0.9016 8 1.2212.5144 +.1836 Oregon. 8 16 Hora o 9 6 06.8 + 19 03.8 -8.8956.9987 +0.2925 0.2492.5150+.1913 Southern States. 8 86 Hora o 8 8 21.8 + 52 06.5 -8.86581 .9988 +0.5769 0.3503-5147 +.1920 Southern States 8 103 Hora o 71 906.8 + 63 06.9-8.9168 .9985 +0.6613 1.0725-5144 +.1923 N. W. Territories. 8. 127 Hora o 9 9 21.8 + 81 33.3 -8.8929 .9987 +0.9091 1.0335-5145 +.1927 Northern States. 8 204 Hora o 8 112 39.8 +115 03.0 -8.7612 9993 +0.8888 0.1871.51501 +.1932 California & Mexico. 8 235 Hora o 7213 21.8 +125 14.2 -8.8586 9.9989 +0.8738 -8.8586 9.9989 +0.8738 1.2368-5145 +.1935 Oregon. 9 832 Hora o 8 6 11.8 + 9 50.8–8.1372 0.0000 +0.1784 0.8482-5177 +.1966 9 858 Hora o 8 7 21.8 + 27 02.2 -7.7918 0.0000 +0.3922 0.60741.51781 +.1966 9 861 Hora o 8 © 21.8 + 26 58.9–7.9080 0.00001 +0.3323 0.72581.5178 +.1966 9 904 Hora o 8 9 21.8 + 56 31.1-6.5664 0.0000 +0.7739 0.6371.5183 +.1967 112 Ceti 4 46 21.3 +9.1319 9.9960 -0.5968 0.4496-5365 +.1864 1 B. A. C. 845 4 14 33.8 +110 25.4 +9.2167 .99401 +0.8194 0.61141.54351+.1796 12 f Tauri 521 21.8 + 51 50.1 +9.3327 .9897 +0.5031 1.0605 -5601 +.1602 13 48 Tauri 48 35.5 +9.4136 .9849 -0.4973 1.0418.5753 +.1367 Newfoundland. 13, Tauri iz 31 6 51.8 27 01.8 +9.4203 .9844 -0.6250 0.9965.5763 +.1344 N. W. Territories. 13 55 Tauri 7 6 51.8 27 02.9 +9.4445 .9825 -0.6399 0.0763 -5738 +.1344 Texas. 13 63 Tauri 6 9 51.8 + 17 12.2 +9.4514 9819 +0.2295 0.1992 .5766 +.1298 13 B.A.C. 1351 619 51.8' + 17 11.3 +9.4476.9822 +0.2141 0.3511 -5770 +.1298 7 9 33.8!+ 12 07.8 +9.4294 .9837 -0.4982 1.0m11:5784+.1305 Oregon. 1375 Tauri 6 12 51.8 + 61 03.8 +9.4409 .9828 +0.7248 0.9931-5814 +.1249 Canada. 13a Tauri 1 15 51.8 +104 19.5 +9.4457 .9824 +0.6442 1.1701.5849 +.1199 Oregon. 14 B.A.C. 1625 7 32 42.1/+9.4962 .9775 -0.0663 0.7036 -5955 +.0909 14 119 Tauri 5713 51.8 + 61 12.2 +9.5010 .9770 +0.1317 1.0366.60171+.0774 Oregon. 15 68 Orionis 6 95 38.8 +9.5302 .9735 -0.6891 0.5635.6094 +.0446 Newfoundland. 15 16 Geminor 6 11 33.8 + 13 41.5 +9.5459 .97141 +0.1954 0.0760.6109 +.0277 15 Geminor 4 12 06.8 + 21 42.4 +9.5402 .97211 +0.2915 0.3681.6125 +.0253 15 B.A.C.2173 7 116 51.8 + 90 22.3 +9.5296 .97361 +0.6176 0.97181.6166 +.0141 N. W. Territories. 1661 Geminor 7 8 51.8 40 42.01 +9.5453 -97141 -0.3955 0.1152.61701–.0263 16 B.A.C.2499 7 13 01.8 + 19 25.7 +9.5441 .9716 -0.1715 0.0449 .6172 -.0378 s. w. Territories. 16 B.A.C.2605 3 20 01.8 +120 58.8 +9.5278 .97381+0.7027 0.49811.6187 –.0554 Oregon. 17 di Cancri 6 – 102 46.1 +9.5083 -9762 -0.6863 0.7403.61831-.0775 Nova Scotia. 17 0 Cancri 528 51.8 - 55 57.1 +9.5036 .9767 -0.6005 +0.6831.6172-.0858 178 Cancri 4315 15.8 + 37 02.0 +9.5059 -9765 +0.2875 -0.0165.6126 —.1009's. W. Territories. 20 B.A.C 3996 618 09.8 + 37 17.7 +9.0207 9976 +0.2874 +0.1608.5698 -.2063 S. W. Territories. 22 80 Virginis 6 18 21.8 + 15 41.9 -8.9075 -9986 +0.3548 0.8606. -55041-.2056 N, E. States. Page 3
For facilitating the Computation of such Occultations of Planets and Stars by the Moon as will be visible in North America during the year 1851. Page 4
For facilitating the Computation of such Occultations of Planets and Stars by the Moon as will be visible in North America during the year 1851.
-.2011 California & Mexico.
1851. Mag. po' a July 23 B.A.C. 1351 63 13 51.8 94 23.8 +9.4476 9.9822 -0.8082 +0.6166.5618 +.1365 25 15 Geminor 6 117 51.8 63 15.0 +9.5519 .9705 -0.7332 0.4866.5991 +.0344 . w. Territories. 2516 Geminor 6 18 06.8 59 32.2 +9.5459.9714 -0.6292 0.7956.6002 +.0344 N. W. Territories. 25 B.A.C. 2091 7 118 36.8 52 19.0 +9.5518 .9705 -0.6131 0.5'44.5994 +.0332 Oregon & California. 29 Lal. 19572 9 7 31.8 + 91 39.9 +9.4026 .9857 +0.7551 0.6787-5974 -.1638 N. E. States. 29 Lal. 19656 8 8 51.8 +110 57.0 +9.3931 .9863 +0.8147 0.7793-5955 -.1660 N. W. Territories. 30909 Hora 10 9 6 39.8 + 65 24.6 +9.2592 9927 +0.7283 0.6065-5833 —.1968 Newfoundland. 30 914 Hora jo 8 6 51.8 + 68 20.9 +9.2604 .9927 +0.7775 0.5381-5832 –.1969 Newfoundland. 30 987 Hora 10 8 8 39.8 + 94 19.8 +9.2384 -9934 +0.7654 0.7005-5821 -.1995 30 1094 Hora 10 8110 51.8 +126 01.8 +9.2321 .9936 +0.6909 0.4029.5805 30 40 Hora 11 9 12 21.8 +147 46.1 +9.1979 .9945 +0.7600 0.8433.5805 -.2026 Oregon 31 866 Hora 11 9 8 21.8 + 76 53.8 +8.9556 .9982 +0.7635 0.4959-5698 –,2171 31 875 Hora 11 9 8 31.8 + 79 17.2 +8.9547 .9982 +0.7439 0.4702-5699 —.2172 31 913 Hora 11 81 9 21.8 + 91 18.9 +8.9339 9984 +0.7180 0.5310.5695 —.2176 31 1038 Hora 11 8113 01.8 +144 25.2 +8.8364 9.9990 +0.7741 0.7186.5681 –.2191 Oregon. Aug. 1 736 Hora 12 81 811 7 39.8 + 54 10.8 +7.0139 0.0000 +0.7965 0.4764-5610 1 781 Hora 12 81 8 45.8 + 70 02.5 +6.8731 0.0000 +0.7273 0.2489-5604 - .2219 Southern States. I 819 Hora 12 8 9 51.8 + 85 59.8 – 8.2027 9.9999 +0.7919 0.9663-5599 –.2216 Northern States. 1 835 Hora 127 9 51.8 + 85 48.2 -7.4074 0.0000 +0.5981 0.1949-5601 –.2218 California & Mexico. 1 847 Hora 12 9 10 15.8 + 91 41.8 -7.7190 0.0000 +0.6981 -.2217 California & Mexico. 2 644 Hora 13 737 51.8 + 44 39.0 -8.9619 9.9982 +0.6637 0.5421-5553 -. 2145 N. E. States. 2 n Virginis 7 9 31.8 + 68 53.4 -9.0260 .9975 +0.7490 1.0375 -5544 —.2136 Lower Canada. 2 756 Hora 13 8 11 09.8 + 92 35.9 -9.0495 9972 +0.7878 1.0363-5541 -.2125 3 B.A.C.48377 8 01.8 + 34 41.4–9.2358.9935 +0.4393 0.3237-5541 -.1960 Southern States, 4 y Libra 4 9 11.8 + 39 10.6 -9.3924 .9863 +0.1899 0.2835-5558 -.1658 Mexico. 4 B.A.C. 5184 7.13 31.8 +102 33.2 -9.4278 .9838 +0.7789 0.8776.5547 0.8776.5547 –.1602 N. W Territories 4n Libræ 4114 09.8 +111 45.3 -9.4184 .9845 +0.8054 0.4207-5560 -.1587 California & Mexico. 5 z Ophiuchi 5 8 21.8 + 14 49.7 -9.4926 .9779 +0.2008 0.8466.5572 –.1306 7 14 Sagittarii 6 7 27.8 23 28.2 -9.5688.9679 -0.1325 0.5933.5613 —.0424 Nova Scotia. 8 o Sagittarii 4:4 51.8 - 74 12.0 -9.5727 .9673 -0.7651 4} 0.3780.5604 +.0011 Southern States. 8 B.A.C.6524 6 6 41.8 - 47 1.3 -9.5868 .9649 -0.3411 616 1.2167-5569 +.0051 Newfoundland. 8 B.A.C.6561 6 1 01.8 + 16 36.1-9.5717 .9675 +0.7218 0.36531.5595 +.0131 Southern States. 8 B.A.C.6607 6 13 21.8 + 49 39-7-9.5860 .9651 -0.0271 1.2462.5556 +.0181 N. W. Territories. 8 B.A.C.6638 6117 21.8 +108 23.6-9.5749 .9669 +0.7587 0.6772.5569 +.0260 Western Territories. 9 B.A.C.6889 6 9 33.8 17 37.9 -9.5684 .9680 -0.0734 0.98 26.5517 +.0567 1020 Capricor. 6 " 15.8 4 48.6 -9.52581 .9740 -0.1045 0.7127-5431 +.1018 13 Aquarii 5 8 27.8 78 59.3 -9.2573 .9928 -0.8574 0.7104-5163 +.1819 17 $? Ceti 22 16.7 +9.1322 .9960 -0.3239 0.7166.5208 +.1891 18 B. A.C. 845 4 1 51.8 +135 15.0 +9.2169 .9940 +0.8110 0.86601.5257 +.1823 Oregon. 20 89 Tauri 411 1 36.8 +108 48.5 +9.46831 .9804 +0.8033 0.2639.5553 +.1302 California & Mexico. 20 m Tauri 51/18 1.8 12 33.0 +9.5001 .9771 -0.7055 0.7704.5698 +.1023 Oregon. 21 x? Orionis 8; 57.4 +9.5391 .9723 -0.7739 0.5431.5829 +.0641 21 x* Orionis 517 51.8 30 40.6 +9.5369 .9726 -0.8364 0.8810-5871 +.0555 Oregon. 23 85 Geminor 63|14 27.8 -107 49.5 +9.5397 .9722 -0.7416 0.8602.6069 –.0508 Nova Scotia. 24 B.A.C.3058 7 115 09.8 -112 15.5 +9.5062 9764 -0.7107 0.3753.6056 -0111 Southern States. 2471 Cancri 7317 51.8 73 18.3 +9.4895 .97821-0.6336 0.81581.6067 -1167 N. W. Territories. 24 78 Cancri 56 34.8 +9.4916 :97801 -0.6985 0.5888.6056 -.1189 Oregon. 28 356 Hora 12 9 01.8 + 76 42.9 +8.5373 .9997 +0.7752 0.6163-5737 -.2 262 N. E. States 28 515 811 09.8 +136 28.7 +8.2562 .9999 +0.7736 0.6091-5721 -.2 268 Oregon. 29 298 Hora 13 9 8 01.8 + 78 20.3-8.8069 .9991 +0.7741 0.5691-5664 -. 2230 29 299 Hora 13 928 01.8 + 78 19.6 —8.8249 .9990 +0.7635 0.72441-5662 –.2230 29 307 Hora 13 9 8 06.8 + 19 32.7 -- 8.8269 .9990 +0.7757 79 0.7238.5662 -.2230 29 321 Hora 13 9 8 27.8 + 84 34.2 -8.8644 .9988 +0.7354 0.9922.5658 --.2228 Northern States. 30179 Hora 14. 9 6 45.8 + 47 20.8 -9.1808 -9949 +0.7362 0.7163 -5622 -.2075 Newfoundland. 30189 Hora 14 9 6 51.8 + 48 44.8 -9.1684 9.9952 +0.6898 +0.4458.5626 —.2075 N. E. States. Page 5
Calculation, (Table, page 18, Arg. c) log A 9.9978 log sinQ + 9.8469 M 324°1910 log A sin = log rsin ' t 9.8447 N log cos D + 9.9915 M - N logr sin cos D + 9.8362 270 00.0 (Table, page 18, Arg.) log B 0.0007 153 43.3 log cos 0 + 9.8521 102 37.2 log sin (M-N -N 9.6721 logrcos Q' sin (II + d) = logu = loga + 9.6994 log m + 9.1027 log cos(H + d) + 9.8523 log m sin(M — N) 8.7748 log r cos Q'cos(H + d) = log b + 9.7051 msin ( M - N) logk 9.4354 loga 9.4192 log log cos logan k 9.3394 9.1186 log sint + 9.9894 log k sinf + 9.4248 log n log an sin D = + 9.6722 log v' + 8.4103 log (1) + 9.7526 logoλ = logu' + 9.1243 log cos (M-N) 9.9458 - log 9.4305 bsin D .0993 – log cos( M – N) = rsin o cos D - bsin D log (2) + 9.3763 + •7851 (2) + + ? .8880.2379 (1) + 5657 9-V= mcos M + 1029 For Immersion, (2)-(1) = ta :3278 -5005 For Emersion, (2)+(1) = to + .8036 р •5744 logt, logt 9.5156 .0739 logu' + 9.1 243 v' + .0257 log tu log u + 8.4103 log tu! 7.9259 .1331 to .0084 p -5546 p-u + .7851 n sin N + .4215 v + tv + .7767 log m sin M 8.8686 tu! .0436 .5005 :5441 + 9.9097 log (u + tu) log m' + 9.1027 9.7357 log n sin N + 9.6248 ut tu log (v + tu') + 9.8903 log log n cos N log tan ľ 9.3183 vt tv 9.8454 log tan N 0.3065 log sin N + 9.9526 logn + 9.6722 T +d 9.4305 (Reduced to hours and minutes) ta o 19.7 IMMERSION: Halifax Mean Time = T +d+t 13 25.9 P-35° 007 Immersion Angle from North Point = Q Immersion Angle from Vertex V Page 6
Calculation for a more accurate determination of the Time, etc., of Emersion.
H+d -44°374 (From first determination) M 324°1910 (Table, page 20, Arg. () + 6 2.6 N M-N 207 39.0 log r cos O' + 9.8528 270 00.0 (Table, page 20, Arg. 1.) loga 9.4184 270° – N 154 20.0 log cos' + 9.8930 H log r cos o' a cos H' = log u + 9.1642 270° - N + = Q log r cos a t 9.2712 (2) .2454 log sin D - 9.2917 (1) + -5821 log sin H 9:7949 (2)+(i) = .8275 log r cos Q' a sin D sin H' = log u + 8.3578 logt + 9.9178 D' .0228 lognsin N + 9.6113 .1824 log tn sin N + 9.5291 d ncos N .2052 log n cos N 9.3122 u' + .1460 login cos N 9.2 300 P + tn cos N .1698 p-u n sin N + .4086 (From first determination) mcos M + .1029 log n sin N + 9.6113 mcos M +incos N = (3) .0669 log n cos N 9.3122 in sin N + -3382 log tan N 0.2991 (From first determination) m sin M .0739 log sin N + 9.9512 msin M + ensin N = (4) .2643 log n + 9.6601 (4) .0698 (From first determination) log m + 9.1027 (3) .0045 - log" 9.4426 .0743 log u' + 9.1642 log sin (M-N) - 9.6666 log tu' + 9.0820 log m sin M - N) 8.7693 log u + 8.3578 msin (M-N) log k 9.4354 logtv + 8.2756 log log cos 9.3339 .0189 k log sin + 9.9897 (From first determination) + -7851 log k sin + 9.4251 ut tv + .8040 ksin tu log .1 208 log (1) + 9.7650 (From first determination) -5005 – log cos (M - N) = log (2) + 9.3899 u + tu •3797 log (u + tu) 9.5794 log (v + tv') + 9.9053 u + tu ut to log tan P - 9.6741
EMERSION : Halifax Mean Time =
T +d 13 45. 5.6 + O 49.7 T +d+t 14 35-3 P -25°16:5 256 47.5 V 231 31.0
Emersion Angle from North Point
This last determination of the time of emersion is probably true to the nearest tenth of a minute. The angles Q and V are also determined with corresponding precision; but for these, the nearest degree is sufficient for the purpose of making an observation. Page 7
SMITHSONIAN CONTRIBUTIONS TO KNOWLEDGE.
VISIBLE IN THE UNITED STATES
EXPENSE OF THE FUND APPROPRIATED BY CONGRESS
FOR THE ESTABLISHMENT OF A
AND PUBLISHED BY THE SMITHSONIAN INSTITUTION. Page 8
For facilitating the Computation of such Occultations of Planets and Stars by the Moon as will be visible in North America during the year 1851.
Jan. 4 Lal. 40386 811 51.8 0 05.7 -9.5159 9.9753 +0.3624 +1.0283.5381 +.0978 Newfoundland 5 Lal. 42684 8 7 51.8 + 76 14.1-9.4392 9830 +0.5818 1.0474 -5272 +.1383 5 B.A.C.7640 79 51.8 +105 37.1-9.4358 .9832 +0.8886 1.1830.5263 +.1401 Oregon. 6 543 Hora 22 9 0 13.1-9.3570 .9885 +0.3212 0.8271.5217 +.1582 Newfoundland. 6 604 Hora 22 9 Š 11.8 + 26 36.9-9.3570 .9885 +0.4739 1.1166.5205 +.1602 N. E. Staten, 6 607 Hora 22 9 5 11.8 + 26 35.8 -9.3515 .9888 +0.4544 0.9281.5208 +.1602 6614 Hora 22 8 8 5 11.8 + 26 32.0-9.3353 .9896 +0.3872 0.3917-5218 +.1602 Southern States. 6691 Hora 2 2 837 36.8 + 62 04.0-9.3312 .9898 +0.7593 0.6473.5210 +.1632 6767 Hora 22 9 9 21.8 + 87 30.7 -9.3273 .9900 +0.7216 0.8044-5200+.1637 Oregon & California. 6 814 Hora 22 9 10 51.8 +109 30.0-9.3292.9899 +0.8774 1.1128.5190 +.1650 Oregon. 6816 Hora 2 2 8 10 51.8 +109 28.2-9.3161 .9905 +0.8461 0.6976.5198 +.1650 California de Mexico. 6881 Hora 22 8 112 36.8 +134 59.4 -9.3226 .9902 +0.8833 1.1970.5186 +.1662 Oregon. 7 260 Hora 23 8 o 27.5 -9.2280.9937 +0.3465 1.1970-5156 +.1782 Newfoundland. 23 8 4 33.8 + 6 55.6 -9.2172.9940 +0.4563 1.0144.5157 +.1782 New foundland. 8 4 33.8 + 6 45.9–9.2210 .9939 +0.2803 1.1087-5157 +.1782 Lower Canada. 7 322 Hora 23 8 5 39.8 + 22 49.8 -9.2074 -9943 +0.3228 0.9739-5158 +.1788 7 B.A.C. 8154 7 5 39.8 + 22 49.7 -9.2074 .9943 +0.32 14 0.9745-5158 +.1788 7 336 Hora 239 6 21.8 + 33 11.2-9.1945 .9946 +0.4966 0.7971.5157 +.1794 7 364 Hora 239 7 21.8 + 47 54.3 -9.1771 9951 +0.6586 0.5824-5159 +.1800 7 573 Hora 23 8 13 03.8 +131 10.6 -9.1588 -9954 +0.9016 8 1.2212.5144 +.1836 Oregon. 8 16 Hora o 9 6 06.8 + 19 03.8 -8.8956.9987 +0.2925 0.2492.5150+.1913 Southern States. 8 86 Hora o 8 8 21.8 + 52 06.5 -8.86581 .9988 +0.5769 0.3503-5147 +.1920 Southern States 8 103 Hora o 71 906.8 + 63 06.9-8.9168 .9985 +0.6613 1.0725-5144 +.1923 N. W. Territories. 8. 127 Hora o 9 9 21.8 + 81 33.3 -8.8929 .9987 +0.9091 1.0335-5145 +.1927 Northern States. 8 204 Hora o 8 112 39.8 +115 03.0 -8.7612 9993 +0.8888 0.1871.51501 +.1932 California & Mexico. 8 235 Hora o 7213 21.8 +125 14.2 -8.8586 9.9989 +0.8738 -8.8586 9.9989 +0.8738 1.2368-5145 +.1935 Oregon. 9 832 Hora o 8 6 11.8 + 9 50.8–8.1372 0.0000 +0.1784 0.8482-5177 +.1966 9 858 Hora o 8 7 21.8 + 27 02.2 -7.7918 0.0000 +0.3922 0.60741.51781 +.1966 9 861 Hora o 8 © 21.8 + 26 58.9–7.9080 0.00001 +0.3323 0.72581.5178 +.1966 9 904 Hora o 8 9 21.8 + 56 31.1-6.5664 0.0000 +0.7739 0.6371.5183 +.1967 112 Ceti 4 46 21.3 +9.1319 9.9960 -0.5968 0.4496-5365 +.1864 1 B. A. C. 845 4 14 33.8 +110 25.4 +9.2167 .99401 +0.8194 0.61141.54351+.1796 12 f Tauri 521 21.8 + 51 50.1 +9.3327 .9897 +0.5031 1.0605 -5601 +.1602 13 48 Tauri 48 35.5 +9.4136 .9849 -0.4973 1.0418.5753 +.1367 Newfoundland. 13, Tauri iz 31 6 51.8 27 01.8 +9.4203 .9844 -0.6250 0.9965.5763 +.1344 N. W. Territories. 13 55 Tauri 7 6 51.8 27 02.9 +9.4445 .9825 -0.6399 0.0763 -5738 +.1344 Texas. 13 63 Tauri 6 9 51.8 + 17 12.2 +9.4514 9819 +0.2295 0.1992 .5766 +.1298 13 B.A.C. 1351 619 51.8' + 17 11.3 +9.4476.9822 +0.2141 0.3511 -5770 +.1298 7 9 33.8!+ 12 07.8 +9.4294 .9837 -0.4982 1.0m11:5784+.1305 Oregon. 1375 Tauri 6 12 51.8 + 61 03.8 +9.4409 .9828 +0.7248 0.9931-5814 +.1249 Canada. 13a Tauri 1 15 51.8 +104 19.5 +9.4457 .9824 +0.6442 1.1701.5849 +.1199 Oregon. 14 B.A.C. 1625 7 32 42.1/+9.4962 .9775 -0.0663 0.7036 -5955 +.0909 14 119 Tauri 5713 51.8 + 61 12.2 +9.5010 .9770 +0.1317 1.0366.60171+.0774 Oregon. 15 68 Orionis 6 95 38.8 +9.5302 .9735 -0.6891 0.5635.6094 +.0446 Newfoundland. 15 16 Geminor 6 11 33.8 + 13 41.5 +9.5459 .97141 +0.1954 0.0760.6109 +.0277 15 Geminor 4 12 06.8 + 21 42.4 +9.5402 .97211 +0.2915 0.3681.6125 +.0253 15 B.A.C.2173 7 116 51.8 + 90 22.3 +9.5296 .97361 +0.6176 0.97181.6166 +.0141 N. W. Territories. 1661 Geminor 7 8 51.8 40 42.01 +9.5453 -97141 -0.3955 0.1152.61701–.0263 16 B.A.C.2499 7 13 01.8 + 19 25.7 +9.5441 .9716 -0.1715 0.0449 .6172 -.0378 s. w. Territories. 16 B.A.C.2605 3 20 01.8 +120 58.8 +9.5278 .97381+0.7027 0.49811.6187 –.0554 Oregon. 17 di Cancri 6 – 102 46.1 +9.5083 -9762 -0.6863 0.7403.61831-.0775 Nova Scotia. 17 0 Cancri 528 51.8 - 55 57.1 +9.5036 .9767 -0.6005 +0.6831.6172-.0858 178 Cancri 4315 15.8 + 37 02.0 +9.5059 -9765 +0.2875 -0.0165.6126 —.1009's. W. Territories. 20 B.A.C 3996 618 09.8 + 37 17.7 +9.0207 9976 +0.2874 +0.1608.5698 -.2063 S. W. Territories. 22 80 Virginis 6 18 21.8 + 15 41.9 -8.9075 -9986 +0.3548 0.8606. -55041-.2056 N, E. States. Page 9
For facilitating the Computation of such Occultations of Planets and Stars by the Moon as will be visible in North America during the year 1851. Page 10
For facilitating the Computation of such Occultations of Planets and Stars by the Moon as will be visible in North America during the year 1851.
-.2011 California & Mexico.
1851. Mag. po' a July 23 B.A.C. 1351 63 13 51.8 94 23.8 +9.4476 9.9822 -0.8082 +0.6166.5618 +.1365 25 15 Geminor 6 117 51.8 63 15.0 +9.5519 .9705 -0.7332 0.4866.5991 +.0344 . w. Territories. 2516 Geminor 6 18 06.8 59 32.2 +9.5459.9714 -0.6292 0.7956.6002 +.0344 N. W. Territories. 25 B.A.C. 2091 7 118 36.8 52 19.0 +9.5518 .9705 -0.6131 0.5'44.5994 +.0332 Oregon & California. 29 Lal. 19572 9 7 31.8 + 91 39.9 +9.4026 .9857 +0.7551 0.6787-5974 -.1638 N. E. States. 29 Lal. 19656 8 8 51.8 +110 57.0 +9.3931 .9863 +0.8147 0.7793-5955 -.1660 N. W. Territories. 30909 Hora 10 9 6 39.8 + 65 24.6 +9.2592 9927 +0.7283 0.6065-5833 —.1968 Newfoundland. 30 914 Hora jo 8 6 51.8 + 68 20.9 +9.2604 .9927 +0.7775 0.5381-5832 –.1969 Newfoundland. 30 987 Hora 10 8 8 39.8 + 94 19.8 +9.2384 -9934 +0.7654 0.7005-5821 -.1995 30 1094 Hora 10 8110 51.8 +126 01.8 +9.2321 .9936 +0.6909 0.4029.5805 30 40 Hora 11 9 12 21.8 +147 46.1 +9.1979 .9945 +0.7600 0.8433.5805 -.2026 Oregon 31 866 Hora 11 9 8 21.8 + 76 53.8 +8.9556 .9982 +0.7635 0.4959-5698 –,2171 31 875 Hora 11 9 8 31.8 + 79 17.2 +8.9547 .9982 +0.7439 0.4702-5699 —.2172 31 913 Hora 11 81 9 21.8 + 91 18.9 +8.9339 9984 +0.7180 0.5310.5695 —.2176 31 1038 Hora 11 8113 01.8 +144 25.2 +8.8364 9.9990 +0.7741 0.7186.5681 –.2191 Oregon. Aug. 1 736 Hora 12 81 811 7 39.8 + 54 10.8 +7.0139 0.0000 +0.7965 0.4764-5610 1 781 Hora 12 81 8 45.8 + 70 02.5 +6.8731 0.0000 +0.7273 0.2489-5604 - .2219 Southern States. I 819 Hora 12 8 9 51.8 + 85 59.8 – 8.2027 9.9999 +0.7919 0.9663-5599 –.2216 Northern States. 1 835 Hora 127 9 51.8 + 85 48.2 -7.4074 0.0000 +0.5981 0.1949-5601 –.2218 California & Mexico. 1 847 Hora 12 9 10 15.8 + 91 41.8 -7.7190 0.0000 +0.6981 -.2217 California & Mexico. 2 644 Hora 13 737 51.8 + 44 39.0 -8.9619 9.9982 +0.6637 0.5421-5553 -. 2145 N. E. States. 2 n Virginis 7 9 31.8 + 68 53.4 -9.0260 .9975 +0.7490 1.0375 -5544 —.2136 Lower Canada. 2 756 Hora 13 8 11 09.8 + 92 35.9 -9.0495 9972 +0.7878 1.0363-5541 -.2125 3 B.A.C.48377 8 01.8 + 34 41.4–9.2358.9935 +0.4393 0.3237-5541 -.1960 Southern States, 4 y Libra 4 9 11.8 + 39 10.6 -9.3924 .9863 +0.1899 0.2835-5558 -.1658 Mexico. 4 B.A.C. 5184 7.13 31.8 +102 33.2 -9.4278 .9838 +0.7789 0.8776.5547 0.8776.5547 –.1602 N. W Territories 4n Libræ 4114 09.8 +111 45.3 -9.4184 .9845 +0.8054 0.4207-5560 -.1587 California & Mexico. 5 z Ophiuchi 5 8 21.8 + 14 49.7 -9.4926 .9779 +0.2008 0.8466.5572 –.1306 7 14 Sagittarii 6 7 27.8 23 28.2 -9.5688.9679 -0.1325 0.5933.5613 —.0424 Nova Scotia. 8 o Sagittarii 4:4 51.8 - 74 12.0 -9.5727 .9673 -0.7651 4} 0.3780.5604 +.0011 Southern States. 8 B.A.C.6524 6 6 41.8 - 47 1.3 -9.5868 .9649 -0.3411 616 1.2167-5569 +.0051 Newfoundland. 8 B.A.C.6561 6 1 01.8 + 16 36.1-9.5717 .9675 +0.7218 0.36531.5595 +.0131 Southern States. 8 B.A.C.6607 6 13 21.8 + 49 39-7-9.5860 .9651 -0.0271 1.2462.5556 +.0181 N. W. Territories. 8 B.A.C.6638 6117 21.8 +108 23.6-9.5749 .9669 +0.7587 0.6772.5569 +.0260 Western Territories. 9 B.A.C.6889 6 9 33.8 17 37.9 -9.5684 .9680 -0.0734 0.98 26.5517 +.0567 1020 Capricor. 6 " 15.8 4 48.6 -9.52581 .9740 -0.1045 0.7127-5431 +.1018 13 Aquarii 5 8 27.8 78 59.3 -9.2573 .9928 -0.8574 0.7104-5163 +.1819 17 $? Ceti 22 16.7 +9.1322 .9960 -0.3239 0.7166.5208 +.1891 18 B. A.C. 845 4 1 51.8 +135 15.0 +9.2169 .9940 +0.8110 0.86601.5257 +.1823 Oregon. 20 89 Tauri 411 1 36.8 +108 48.5 +9.46831 .9804 +0.8033 0.2639.5553 +.1302 California & Mexico. 20 m Tauri 51/18 1.8 12 33.0 +9.5001 .9771 -0.7055 0.7704.5698 +.1023 Oregon. 21 x? Orionis 8; 57.4 +9.5391 .9723 -0.7739 0.5431.5829 +.0641 21 x* Orionis 517 51.8 30 40.6 +9.5369 .9726 -0.8364 0.8810-5871 +.0555 Oregon. 23 85 Geminor 63|14 27.8 -107 49.5 +9.5397 .9722 -0.7416 0.8602.6069 –.0508 Nova Scotia. 24 B.A.C.3058 7 115 09.8 -112 15.5 +9.5062 9764 -0.7107 0.3753.6056 -0111 Southern States. 2471 Cancri 7317 51.8 73 18.3 +9.4895 .97821-0.6336 0.81581.6067 -1167 N. W. Territories. 24 78 Cancri 56 34.8 +9.4916 :97801 -0.6985 0.5888.6056 -.1189 Oregon. 28 356 Hora 12 9 01.8 + 76 42.9 +8.5373 .9997 +0.7752 0.6163-5737 -.2 262 N. E. States 28 515 811 09.8 +136 28.7 +8.2562 .9999 +0.7736 0.6091-5721 -.2 268 Oregon. 29 298 Hora 13 9 8 01.8 + 78 20.3-8.8069 .9991 +0.7741 0.5691-5664 -. 2230 29 299 Hora 13 928 01.8 + 78 19.6 —8.8249 .9990 +0.7635 0.72441-5662 –.2230 29 307 Hora 13 9 8 06.8 + 19 32.7 -- 8.8269 .9990 +0.7757 79 0.7238.5662 -.2230 29 321 Hora 13 9 8 27.8 + 84 34.2 -8.8644 .9988 +0.7354 0.9922.5658 --.2228 Northern States. 30179 Hora 14. 9 6 45.8 + 47 20.8 -9.1808 -9949 +0.7362 0.7163 -5622 -.2075 Newfoundland. 30189 Hora 14 9 6 51.8 + 48 44.8 -9.1684 9.9952 +0.6898 +0.4458.5626 —.2075 N. E. States. Page 11
Calculation, (Table, page 18, Arg. c) log A 9.9978 log sinQ + 9.8469 M 324°1910 log A sin = log rsin ' t 9.8447 N log cos D + 9.9915 M - N logr sin cos D + 9.8362 270 00.0 (Table, page 18, Arg.) log B 0.0007 153 43.3 log cos 0 + 9.8521 102 37.2 log sin (M-N -N 9.6721 logrcos Q' sin (II + d) = logu = loga + 9.6994 log m + 9.1027 log cos(H + d) + 9.8523 log m sin(M — N) 8.7748 log r cos Q'cos(H + d) = log b + 9.7051 msin ( M - N) logk 9.4354 loga 9.4192 log log cos logan k 9.3394 9.1186 log sint + 9.9894 log k sinf + 9.4248 log n log an sin D = + 9.6722 log v' + 8.4103 log (1) + 9.7526 logoλ = logu' + 9.1243 log cos (M-N) 9.9458 - log 9.4305 bsin D .0993 – log cos( M – N) = rsin o cos D - bsin D log (2) + 9.3763 + •7851 (2) + + ? .8880.2379 (1) + 5657 9-V= mcos M + 1029 For Immersion, (2)-(1) = ta :3278 -5005 For Emersion, (2)+(1) = to + .8036 р •5744 logt, logt 9.5156 .0739 logu' + 9.1 243 v' + .0257 log tu log u + 8.4103 log tu! 7.9259 .1331 to .0084 p -5546 p-u + .7851 n sin N + .4215 v + tv + .7767 log m sin M 8.8686 tu! .0436 .5005 :5441 + 9.9097 log (u + tu) log m' + 9.1027 9.7357 log n sin N + 9.6248 ut tu log (v + tu') + 9.8903 log log n cos N log tan ľ 9.3183 vt tv 9.8454 log tan N 0.3065 log sin N + 9.9526 logn + 9.6722 T +d 9.4305 (Reduced to hours and minutes) ta o 19.7 IMMERSION: Halifax Mean Time = T +d+t 13 25.9 P-35° 007 Immersion Angle from North Point = Q Immersion Angle from Vertex V Page 12
Calculation for a more accurate determination of the Time, etc., of Emersion.
H+d -44°374 (From first determination) M 324°1910 (Table, page 20, Arg. () + 6 2.6 N M-N 207 39.0 log r cos O' + 9.8528 270 00.0 (Table, page 20, Arg. 1.) loga 9.4184 270° – N 154 20.0 log cos' + 9.8930 H log r cos o' a cos H' = log u + 9.1642 270° - N + = Q log r cos a t 9.2712 (2) .2454 log sin D - 9.2917 (1) + -5821 log sin H 9:7949 (2)+(i) = .8275 log r cos Q' a sin D sin H' = log u + 8.3578 logt + 9.9178 D' .0228 lognsin N + 9.6113 .1824 log tn sin N + 9.5291 d ncos N .2052 log n cos N 9.3122 u' + .1460 login cos N 9.2 300 P + tn cos N .1698 p-u n sin N + .4086 (From first determination) mcos M + .1029 log n sin N + 9.6113 mcos M +incos N = (3) .0669 log n cos N 9.3122 in sin N + -3382 log tan N 0.2991 (From first determination) m sin M .0739 log sin N + 9.9512 msin M + ensin N = (4) .2643 log n + 9.6601 (4) .0698 (From first determination) log m + 9.1027 (3) .0045 - log" 9.4426 .0743 log u' + 9.1642 log sin (M-N) - 9.6666 log tu' + 9.0820 log m sin M - N) 8.7693 log u + 8.3578 msin (M-N) log k 9.4354 logtv + 8.2756 log log cos 9.3339 .0189 k log sin + 9.9897 (From first determination) + -7851 log k sin + 9.4251 ut tv + .8040 ksin tu log .1 208 log (1) + 9.7650 (From first determination) -5005 – log cos (M - N) = log (2) + 9.3899 u + tu •3797 log (u + tu) 9.5794 log (v + tv') + 9.9053 u + tu ut to log tan P - 9.6741
EMERSION : Halifax Mean Time =
T +d 13 45. 5.6 + O 49.7 T +d+t 14 35-3 P -25°16:5 256 47.5 V 231 31.0
Emersion Angle from North Point
This last determination of the time of emersion is probably true to the nearest tenth of a minute. The angles Q and V are also determined with corresponding precision; but for these, the nearest degree is sufficient for the purpose of making an observation. Page 13
SMITHSONIAN CONTRIBUTIONS TO KNOWLEDGE.
VISIBLE IN THE UNITED STATES
EXPENSE OF THE FUND APPROPRIATED BY CONGRESS
FOR THE ESTABLISHMENT OF A
AND PUBLISHED BY THE SMITHSONIAN INSTITUTION. Page 14
For facilitating the Computation of such Occultations of Planets and Stars by the Moon as will be visible in North America during the year 1851.
Jan. 4 Lal. 40386 811 51.8 0 05.7 -9.5159 9.9753 +0.3624 +1.0283.5381 +.0978 Newfoundland 5 Lal. 42684 8 7 51.8 + 76 14.1-9.4392 9830 +0.5818 1.0474 -5272 +.1383 5 B.A.C.7640 79 51.8 +105 37.1-9.4358 .9832 +0.8886 1.1830.5263 +.1401 Oregon. 6 543 Hora 22 9 0 13.1-9.3570 .9885 +0.3212 0.8271.5217 +.1582 Newfoundland. 6 604 Hora 22 9 Š 11.8 + 26 36.9-9.3570 .9885 +0.4739 1.1166.5205 +.1602 N. E. Staten, 6 607 Hora 22 9 5 11.8 + 26 35.8 -9.3515 .9888 +0.4544 0.9281.5208 +.1602 6614 Hora 22 8 8 5 11.8 + 26 32.0-9.3353 .9896 +0.3872 0.3917-5218 +.1602 Southern States. 6691 Hora 2 2 837 36.8 + 62 04.0-9.3312 .9898 +0.7593 0.6473.5210 +.1632 6767 Hora 22 9 9 21.8 + 87 30.7 -9.3273 .9900 +0.7216 0.8044-5200+.1637 Oregon & California. 6 814 Hora 22 9 10 51.8 +109 30.0-9.3292.9899 +0.8774 1.1128.5190 +.1650 Oregon. 6816 Hora 2 2 8 10 51.8 +109 28.2-9.3161 .9905 +0.8461 0.6976.5198 +.1650 California de Mexico. 6881 Hora 22 8 112 36.8 +134 59.4 -9.3226 .9902 +0.8833 1.1970.5186 +.1662 Oregon. 7 260 Hora 23 8 o 27.5 -9.2280.9937 +0.3465 1.1970-5156 +.1782 Newfoundland. 23 8 4 33.8 + 6 55.6 -9.2172.9940 +0.4563 1.0144.5157 +.1782 New foundland. 8 4 33.8 + 6 45.9–9.2210 .9939 +0.2803 1.1087-5157 +.1782 Lower Canada. 7 322 Hora 23 8 5 39.8 + 22 49.8 -9.2074 -9943 +0.3228 0.9739-5158 +.1788 7 B.A.C. 8154 7 5 39.8 + 22 49.7 -9.2074 .9943 +0.32 14 0.9745-5158 +.1788 7 336 Hora 239 6 21.8 + 33 11.2-9.1945 .9946 +0.4966 0.7971.5157 +.1794 7 364 Hora 239 7 21.8 + 47 54.3 -9.1771 9951 +0.6586 0.5824-5159 +.1800 7 573 Hora 23 8 13 03.8 +131 10.6 -9.1588 -9954 +0.9016 8 1.2212.5144 +.1836 Oregon. 8 16 Hora o 9 6 06.8 + 19 03.8 -8.8956.9987 +0.2925 0.2492.5150+.1913 Southern States. 8 86 Hora o 8 8 21.8 + 52 06.5 -8.86581 .9988 +0.5769 0.3503-5147 +.1920 Southern States 8 103 Hora o 71 906.8 + 63 06.9-8.9168 .9985 +0.6613 1.0725-5144 +.1923 N. W. Territories. 8. 127 Hora o 9 9 21.8 + 81 33.3 -8.8929 .9987 +0.9091 1.0335-5145 +.1927 Northern States. 8 204 Hora o 8 112 39.8 +115 03.0 -8.7612 9993 +0.8888 0.1871.51501 +.1932 California & Mexico. 8 235 Hora o 7213 21.8 +125 14.2 -8.8586 9.9989 +0.8738 -8.8586 9.9989 +0.8738 1.2368-5145 +.1935 Oregon. 9 832 Hora o 8 6 11.8 + 9 50.8–8.1372 0.0000 +0.1784 0.8482-5177 +.1966 9 858 Hora o 8 7 21.8 + 27 02.2 -7.7918 0.0000 +0.3922 0.60741.51781 +.1966 9 861 Hora o 8 © 21.8 + 26 58.9–7.9080 0.00001 +0.3323 0.72581.5178 +.1966 9 904 Hora o 8 9 21.8 + 56 31.1-6.5664 0.0000 +0.7739 0.6371.5183 +.1967 112 Ceti 4 46 21.3 +9.1319 9.9960 -0.5968 0.4496-5365 +.1864 1 B. A. C. 845 4 14 33.8 +110 25.4 +9.2167 .99401 +0.8194 0.61141.54351+.1796 12 f Tauri 521 21.8 + 51 50.1 +9.3327 .9897 +0.5031 1.0605 -5601 +.1602 13 48 Tauri 48 35.5 +9.4136 .9849 -0.4973 1.0418.5753 +.1367 Newfoundland. 13, Tauri iz 31 6 51.8 27 01.8 +9.4203 .9844 -0.6250 0.9965.5763 +.1344 N. W. Territories. 13 55 Tauri 7 6 51.8 27 02.9 +9.4445 .9825 -0.6399 0.0763 -5738 +.1344 Texas. 13 63 Tauri 6 9 51.8 + 17 12.2 +9.4514 9819 +0.2295 0.1992 .5766 +.1298 13 B.A.C. 1351 619 51.8' + 17 11.3 +9.4476.9822 +0.2141 0.3511 -5770 +.1298 7 9 33.8!+ 12 07.8 +9.4294 .9837 -0.4982 1.0m11:5784+.1305 Oregon. 1375 Tauri 6 12 51.8 + 61 03.8 +9.4409 .9828 +0.7248 0.9931-5814 +.1249 Canada. 13a Tauri 1 15 51.8 +104 19.5 +9.4457 .9824 +0.6442 1.1701.5849 +.1199 Oregon. 14 B.A.C. 1625 7 32 42.1/+9.4962 .9775 -0.0663 0.7036 -5955 +.0909 14 119 Tauri 5713 51.8 + 61 12.2 +9.5010 .9770 +0.1317 1.0366.60171+.0774 Oregon. 15 68 Orionis 6 95 38.8 +9.5302 .9735 -0.6891 0.5635.6094 +.0446 Newfoundland. 15 16 Geminor 6 11 33.8 + 13 41.5 +9.5459 .97141 +0.1954 0.0760.6109 +.0277 15 Geminor 4 12 06.8 + 21 42.4 +9.5402 .97211 +0.2915 0.3681.6125 +.0253 15 B.A.C.2173 7 116 51.8 + 90 22.3 +9.5296 .97361 +0.6176 0.97181.6166 +.0141 N. W. Territories. 1661 Geminor 7 8 51.8 40 42.01 +9.5453 -97141 -0.3955 0.1152.61701–.0263 16 B.A.C.2499 7 13 01.8 + 19 25.7 +9.5441 .9716 -0.1715 0.0449 .6172 -.0378 s. w. Territories. 16 B.A.C.2605 3 20 01.8 +120 58.8 +9.5278 .97381+0.7027 0.49811.6187 –.0554 Oregon. 17 di Cancri 6 – 102 46.1 +9.5083 -9762 -0.6863 0.7403.61831-.0775 Nova Scotia. 17 0 Cancri 528 51.8 - 55 57.1 +9.5036 .9767 -0.6005 +0.6831.6172-.0858 178 Cancri 4315 15.8 + 37 02.0 +9.5059 -9765 +0.2875 -0.0165.6126 —.1009's. W. Territories. 20 B.A.C 3996 618 09.8 + 37 17.7 +9.0207 9976 +0.2874 +0.1608.5698 -.2063 S. W. Territories. 22 80 Virginis 6 18 21.8 + 15 41.9 -8.9075 -9986 +0.3548 0.8606. -55041-.2056 N, E. States. Page 15
For facilitating the Computation of such Occultations of Planets and Stars by the Moon as will be visible in North America during the year 1851. Page 16
For facilitating the Computation of such Occultations of Planets and Stars by the Moon as will be visible in North America during the year 1851.
-.2011 California & Mexico.
1851. Mag. po' a July 23 B.A.C. 1351 63 13 51.8 94 23.8 +9.4476 9.9822 -0.8082 +0.6166.5618 +.1365 25 15 Geminor 6 117 51.8 63 15.0 +9.5519 .9705 -0.7332 0.4866.5991 +.0344 . w. Territories. 2516 Geminor 6 18 06.8 59 32.2 +9.5459.9714 -0.6292 0.7956.6002 +.0344 N. W. Territories. 25 B.A.C. 2091 7 118 36.8 52 19.0 +9.5518 .9705 -0.6131 0.5'44.5994 +.0332 Oregon & California. 29 Lal. 19572 9 7 31.8 + 91 39.9 +9.4026 .9857 +0.7551 0.6787-5974 -.1638 N. E. States. 29 Lal. 19656 8 8 51.8 +110 57.0 +9.3931 .9863 +0.8147 0.7793-5955 -.1660 N. W. Territories. 30909 Hora 10 9 6 39.8 + 65 24.6 +9.2592 9927 +0.7283 0.6065-5833 —.1968 Newfoundland. 30 914 Hora jo 8 6 51.8 + 68 20.9 +9.2604 .9927 +0.7775 0.5381-5832 –.1969 Newfoundland. 30 987 Hora 10 8 8 39.8 + 94 19.8 +9.2384 -9934 +0.7654 0.7005-5821 -.1995 30 1094 Hora 10 8110 51.8 +126 01.8 +9.2321 .9936 +0.6909 0.4029.5805 30 40 Hora 11 9 12 21.8 +147 46.1 +9.1979 .9945 +0.7600 0.8433.5805 -.2026 Oregon 31 866 Hora 11 9 8 21.8 + 76 53.8 +8.9556 .9982 +0.7635 0.4959-5698 –,2171 31 875 Hora 11 9 8 31.8 + 79 17.2 +8.9547 .9982 +0.7439 0.4702-5699 —.2172 31 913 Hora 11 81 9 21.8 + 91 18.9 +8.9339 9984 +0.7180 0.5310.5695 —.2176 31 1038 Hora 11 8113 01.8 +144 25.2 +8.8364 9.9990 +0.7741 0.7186.5681 –.2191 Oregon. Aug. 1 736 Hora 12 81 811 7 39.8 + 54 10.8 +7.0139 0.0000 +0.7965 0.4764-5610 1 781 Hora 12 81 8 45.8 + 70 02.5 +6.8731 0.0000 +0.7273 0.2489-5604 - .2219 Southern States. I 819 Hora 12 8 9 51.8 + 85 59.8 – 8.2027 9.9999 +0.7919 0.9663-5599 –.2216 Northern States. 1 835 Hora 127 9 51.8 + 85 48.2 -7.4074 0.0000 +0.5981 0.1949-5601 –.2218 California & Mexico. 1 847 Hora 12 9 10 15.8 + 91 41.8 -7.7190 0.0000 +0.6981 -.2217 California & Mexico. 2 644 Hora 13 737 51.8 + 44 39.0 -8.9619 9.9982 +0.6637 0.5421-5553 -. 2145 N. E. States. 2 n Virginis 7 9 31.8 + 68 53.4 -9.0260 .9975 +0.7490 1.0375 -5544 —.2136 Lower Canada. 2 756 Hora 13 8 11 09.8 + 92 35.9 -9.0495 9972 +0.7878 1.0363-5541 -.2125 3 B.A.C.48377 8 01.8 + 34 41.4–9.2358.9935 +0.4393 0.3237-5541 -.1960 Southern States, 4 y Libra 4 9 11.8 + 39 10.6 -9.3924 .9863 +0.1899 0.2835-5558 -.1658 Mexico. 4 B.A.C. 5184 7.13 31.8 +102 33.2 -9.4278 .9838 +0.7789 0.8776.5547 0.8776.5547 –.1602 N. W Territories 4n Libræ 4114 09.8 +111 45.3 -9.4184 .9845 +0.8054 0.4207-5560 -.1587 California & Mexico. 5 z Ophiuchi 5 8 21.8 + 14 49.7 -9.4926 .9779 +0.2008 0.8466.5572 –.1306 7 14 Sagittarii 6 7 27.8 23 28.2 -9.5688.9679 -0.1325 0.5933.5613 —.0424 Nova Scotia. 8 o Sagittarii 4:4 51.8 - 74 12.0 -9.5727 .9673 -0.7651 4} 0.3780.5604 +.0011 Southern States. 8 B.A.C.6524 6 6 41.8 - 47 1.3 -9.5868 .9649 -0.3411 616 1.2167-5569 +.0051 Newfoundland. 8 B.A.C.6561 6 1 01.8 + 16 36.1-9.5717 .9675 +0.7218 0.36531.5595 +.0131 Southern States. 8 B.A.C.6607 6 13 21.8 + 49 39-7-9.5860 .9651 -0.0271 1.2462.5556 +.0181 N. W. Territories. 8 B.A.C.6638 6117 21.8 +108 23.6-9.5749 .9669 +0.7587 0.6772.5569 +.0260 Western Territories. 9 B.A.C.6889 6 9 33.8 17 37.9 -9.5684 .9680 -0.0734 0.98 26.5517 +.0567 1020 Capricor. 6 " 15.8 4 48.6 -9.52581 .9740 -0.1045 0.7127-5431 +.1018 13 Aquarii 5 8 27.8 78 59.3 -9.2573 .9928 -0.8574 0.7104-5163 +.1819 17 $? Ceti 22 16.7 +9.1322 .9960 -0.3239 0.7166.5208 +.1891 18 B. A.C. 845 4 1 51.8 +135 15.0 +9.2169 .9940 +0.8110 0.86601.5257 +.1823 Oregon. 20 89 Tauri 411 1 36.8 +108 48.5 +9.46831 .9804 +0.8033 0.2639.5553 +.1302 California & Mexico. 20 m Tauri 51/18 1.8 12 33.0 +9.5001 .9771 -0.7055 0.7704.5698 +.1023 Oregon. 21 x? Orionis 8; 57.4 +9.5391 .9723 -0.7739 0.5431.5829 +.0641 21 x* Orionis 517 51.8 30 40.6 +9.5369 .9726 -0.8364 0.8810-5871 +.0555 Oregon. 23 85 Geminor 63|14 27.8 -107 49.5 +9.5397 .9722 -0.7416 0.8602.6069 –.0508 Nova Scotia. 24 B.A.C.3058 7 115 09.8 -112 15.5 +9.5062 9764 -0.7107 0.3753.6056 -0111 Southern States. 2471 Cancri 7317 51.8 73 18.3 +9.4895 .97821-0.6336 0.81581.6067 -1167 N. W. Territories. 24 78 Cancri 56 34.8 +9.4916 :97801 -0.6985 0.5888.6056 -.1189 Oregon. 28 356 Hora 12 9 01.8 + 76 42.9 +8.5373 .9997 +0.7752 0.6163-5737 -.2 262 N. E. States 28 515 811 09.8 +136 28.7 +8.2562 .9999 +0.7736 0.6091-5721 -.2 268 Oregon. 29 298 Hora 13 9 8 01.8 + 78 20.3-8.8069 .9991 +0.7741 0.5691-5664 -. 2230 29 299 Hora 13 928 01.8 + 78 19.6 —8.8249 .9990 +0.7635 0.72441-5662 –.2230 29 307 Hora 13 9 8 06.8 + 19 32.7 -- 8.8269 .9990 +0.7757 79 0.7238.5662 -.2230 29 321 Hora 13 9 8 27.8 + 84 34.2 -8.8644 .9988 +0.7354 0.9922.5658 --.2228 Northern States. 30179 Hora 14. 9 6 45.8 + 47 20.8 -9.1808 -9949 +0.7362 0.7163 -5622 -.2075 Newfoundland. 30189 Hora 14 9 6 51.8 + 48 44.8 -9.1684 9.9952 +0.6898 +0.4458.5626 —.2075 N. E. States. Page 17
Calculation, (Table, page 18, Arg. c) log A 9.9978 log sinQ + 9.8469 M 324°1910 log A sin = log rsin ' t 9.8447 N log cos D + 9.9915 M - N logr sin cos D + 9.8362 270 00.0 (Table, page 18, Arg.) log B 0.0007 153 43.3 log cos 0 + 9.8521 102 37.2 log sin (M-N -N 9.6721 logrcos Q' sin (II + d) = logu = loga + 9.6994 log m + 9.1027 log cos(H + d) + 9.8523 log m sin(M — N) 8.7748 log r cos Q'cos(H + d) = log b + 9.7051 msin ( M - N) logk 9.4354 loga 9.4192 log log cos logan k 9.3394 9.1186 log sint + 9.9894 log k sinf + 9.4248 log n log an sin D = + 9.6722 log v' + 8.4103 log (1) + 9.7526 logoλ = logu' + 9.1243 log cos (M-N) 9.9458 - log 9.4305 bsin D .0993 – log cos( M – N) = rsin o cos D - bsin D log (2) + 9.3763 + •7851 (2) + + ? .8880.2379 (1) + 5657 9-V= mcos M + 1029 For Immersion, (2)-(1) = ta :3278 -5005 For Emersion, (2)+(1) = to + .8036 р •5744 logt, logt 9.5156 .0739 logu' + 9.1 243 v' + .0257 log tu log u + 8.4103 log tu! 7.9259 .1331 to .0084 p -5546 p-u + .7851 n sin N + .4215 v + tv + .7767 log m sin M 8.8686 tu! .0436 .5005 :5441 + 9.9097 log (u + tu) log m' + 9.1027 9.7357 log n sin N + 9.6248 ut tu log (v + tu') + 9.8903 log log n cos N log tan ľ 9.3183 vt tv 9.8454 log tan N 0.3065 log sin N + 9.9526 logn + 9.6722 T +d 9.4305 (Reduced to hours and minutes) ta o 19.7 IMMERSION: Halifax Mean Time = T +d+t 13 25.9 P-35° 007 Immersion Angle from North Point = Q Immersion Angle from Vertex V Page 18
Calculation for a more accurate determination of the Time, etc., of Emersion.
H+d -44°374 (From first determination) M 324°1910 (Table, page 20, Arg. () + 6 2.6 N M-N 207 39.0 log r cos O' + 9.8528 270 00.0 (Table, page 20, Arg. 1.) loga 9.4184 270° – N 154 20.0 log cos' + 9.8930 H log r cos o' a cos H' = log u + 9.1642 270° - N + = Q log r cos a t 9.2712 (2) .2454 log sin D - 9.2917 (1) + -5821 log sin H 9:7949 (2)+(i) = .8275 log r cos Q' a sin D sin H' = log u + 8.3578 logt + 9.9178 D' .0228 lognsin N + 9.6113 .1824 log tn sin N + 9.5291 d ncos N .2052 log n cos N 9.3122 u' + .1460 login cos N 9.2 300 P + tn cos N .1698 p-u n sin N + .4086 (From first determination) mcos M + .1029 log n sin N + 9.6113 mcos M +incos N = (3) .0669 log n cos N 9.3122 in sin N + -3382 log tan N 0.2991 (From first determination) m sin M .0739 log sin N + 9.9512 msin M + ensin N = (4) .2643 log n + 9.6601 (4) .0698 (From first determination) log m + 9.1027 (3) .0045 - log" 9.4426 .0743 log u' + 9.1642 log sin (M-N) - 9.6666 log tu' + 9.0820 log m sin M - N) 8.7693 log u + 8.3578 msin (M-N) log k 9.4354 logtv + 8.2756 log log cos 9.3339 .0189 k log sin + 9.9897 (From first determination) + -7851 log k sin + 9.4251 ut tv + .8040 ksin tu log .1 208 log (1) + 9.7650 (From first determination) -5005 – log cos (M - N) = log (2) + 9.3899 u + tu •3797 log (u + tu) 9.5794 log (v + tv') + 9.9053 u + tu ut to log tan P - 9.6741
EMERSION : Halifax Mean Time =
T +d 13 45. 5.6 + O 49.7 T +d+t 14 35-3 P -25°16:5 256 47.5 V 231 31.0
Emersion Angle from North Point
This last determination of the time of emersion is probably true to the nearest tenth of a minute. The angles Q and V are also determined with corresponding precision; but for these, the nearest degree is sufficient for the purpose of making an observation. Page 19
SMITHSONIAN CONTRIBUTIONS TO KNOWLEDGE.
VISIBLE IN THE UNITED STATES
EXPENSE OF THE FUND APPROPRIATED BY CONGRESS
FOR THE ESTABLISHMENT OF A
AND PUBLISHED BY THE SMITHSONIAN INSTITUTION. Page 20
For facilitating the Computation of such Occultations of Planets and Stars by the Moon as will be visible in North America during the year 1851.
Jan. 4 Lal. 40386 811 51.8 0 05.7 -9.5159 9.9753 +0.3624 +1.0283.5381 +.0978 Newfoundland 5 Lal. 42684 8 7 51.8 + 76 14.1-9.4392 9830 +0.5818 1.0474 -5272 +.1383 5 B.A.C.7640 79 51.8 +105 37.1-9.4358 .9832 +0.8886 1.1830.5263 +.1401 Oregon. 6 543 Hora 22 9 0 13.1-9.3570 .9885 +0.3212 0.8271.5217 +.1582 Newfoundland. 6 604 Hora 22 9 Š 11.8 + 26 36.9-9.3570 .9885 +0.4739 1.1166.5205 +.1602 N. E. Staten, 6 607 Hora 22 9 5 11.8 + 26 35.8 -9.3515 .9888 +0.4544 0.9281.5208 +.1602 6614 Hora 22 8 8 5 11.8 + 26 32.0-9.3353 .9896 +0.3872 0.3917-5218 +.1602 Southern States. 6691 Hora 2 2 837 36.8 + 62 04.0-9.3312 .9898 +0.7593 0.6473.5210 +.1632 6767 Hora 22 9 9 21.8 + 87 30.7 -9.3273 .9900 +0.7216 0.8044-5200+.1637 Oregon & California. 6 814 Hora 22 9 10 51.8 +109 30.0-9.3292.9899 +0.8774 1.1128.5190 +.1650 Oregon. 6816 Hora 2 2 8 10 51.8 +109 28.2-9.3161 .9905 +0.8461 0.6976.5198 +.1650 California de Mexico. 6881 Hora 22 8 112 36.8 +134 59.4 -9.3226 .9902 +0.8833 1.1970.5186 +.1662 Oregon. 7 260 Hora 23 8 o 27.5 -9.2280.9937 +0.3465 1.1970-5156 +.1782 Newfoundland. 23 8 4 33.8 + 6 55.6 -9.2172.9940 +0.4563 1.0144.5157 +.1782 New foundland. 8 4 33.8 + 6 45.9–9.2210 .9939 +0.2803 1.1087-5157 +.1782 Lower Canada. 7 322 Hora 23 8 5 39.8 + 22 49.8 -9.2074 -9943 +0.3228 0.9739-5158 +.1788 7 B.A.C. 8154 7 5 39.8 + 22 49.7 -9.2074 .9943 +0.32 14 0.9745-5158 +.1788 7 336 Hora 239 6 21.8 + 33 11.2-9.1945 .9946 +0.4966 0.7971.5157 +.1794 7 364 Hora 239 7 21.8 + 47 54.3 -9.1771 9951 +0.6586 0.5824-5159 +.1800 7 573 Hora 23 8 13 03.8 +131 10.6 -9.1588 -9954 +0.9016 8 1.2212.5144 +.1836 Oregon. 8 16 Hora o 9 6 06.8 + 19 03.8 -8.8956.9987 +0.2925 0.2492.5150+.1913 Southern States. 8 86 Hora o 8 8 21.8 + 52 06.5 -8.86581 .9988 +0.5769 0.3503-5147 +.1920 Southern States 8 103 Hora o 71 906.8 + 63 06.9-8.9168 .9985 +0.6613 1.0725-5144 +.1923 N. W. Territories. 8. 127 Hora o 9 9 21.8 + 81 33.3 -8.8929 .9987 +0.9091 1.0335-5145 +.1927 Northern States. 8 204 Hora o 8 112 39.8 +115 03.0 -8.7612 9993 +0.8888 0.1871.51501 +.1932 California & Mexico. 8 235 Hora o 7213 21.8 +125 14.2 -8.8586 9.9989 +0.8738 -8.8586 9.9989 +0.8738 1.2368-5145 +.1935 Oregon. 9 832 Hora o 8 6 11.8 + 9 50.8–8.1372 0.0000 +0.1784 0.8482-5177 +.1966 9 858 Hora o 8 7 21.8 + 27 02.2 -7.7918 0.0000 +0.3922 0.60741.51781 +.1966 9 861 Hora o 8 © 21.8 + 26 58.9–7.9080 0.00001 +0.3323 0.72581.5178 +.1966 9 904 Hora o 8 9 21.8 + 56 31.1-6.5664 0.0000 +0.7739 0.6371.5183 +.1967 112 Ceti 4 46 21.3 +9.1319 9.9960 -0.5968 0.4496-5365 +.1864 1 B. A. C. 845 4 14 33.8 +110 25.4 +9.2167 .99401 +0.8194 0.61141.54351+.1796 12 f Tauri 521 21.8 + 51 50.1 +9.3327 .9897 +0.5031 1.0605 -5601 +.1602 13 48 Tauri 48 35.5 +9.4136 .9849 -0.4973 1.0418.5753 +.1367 Newfoundland. 13, Tauri iz 31 6 51.8 27 01.8 +9.4203 .9844 -0.6250 0.9965.5763 +.1344 N. W. Territories. 13 55 Tauri 7 6 51.8 27 02.9 +9.4445 .9825 -0.6399 0.0763 -5738 +.1344 Texas. 13 63 Tauri 6 9 51.8 + 17 12.2 +9.4514 9819 +0.2295 0.1992 .5766 +.1298 13 B.A.C. 1351 619 51.8' + 17 11.3 +9.4476.9822 +0.2141 0.3511 -5770 +.1298 7 9 33.8!+ 12 07.8 +9.4294 .9837 -0.4982 1.0m11:5784+.1305 Oregon. 1375 Tauri 6 12 51.8 + 61 03.8 +9.4409 .9828 +0.7248 0.9931-5814 +.1249 Canada. 13a Tauri 1 15 51.8 +104 19.5 +9.4457 .9824 +0.6442 1.1701.5849 +.1199 Oregon. 14 B.A.C. 1625 7 32 42.1/+9.4962 .9775 -0.0663 0.7036 -5955 +.0909 14 119 Tauri 5713 51.8 + 61 12.2 +9.5010 .9770 +0.1317 1.0366.60171+.0774 Oregon. 15 68 Orionis 6 95 38.8 +9.5302 .9735 -0.6891 0.5635.6094 +.0446 Newfoundland. 15 16 Geminor 6 11 33.8 + 13 41.5 +9.5459 .97141 +0.1954 0.0760.6109 +.0277 15 Geminor 4 12 06.8 + 21 42.4 +9.5402 .97211 +0.2915 0.3681.6125 +.0253 15 B.A.C.2173 7 116 51.8 + 90 22.3 +9.5296 .97361 +0.6176 0.97181.6166 +.0141 N. W. Territories. 1661 Geminor 7 8 51.8 40 42.01 +9.5453 -97141 -0.3955 0.1152.61701–.0263 16 B.A.C.2499 7 13 01.8 + 19 25.7 +9.5441 .9716 -0.1715 0.0449 .6172 -.0378 s. w. Territories. 16 B.A.C.2605 3 20 01.8 +120 58.8 +9.5278 .97381+0.7027 0.49811.6187 –.0554 Oregon. 17 di Cancri 6 – 102 46.1 +9.5083 -9762 -0.6863 0.7403.61831-.0775 Nova Scotia. 17 0 Cancri 528 51.8 - 55 57.1 +9.5036 .9767 -0.6005 +0.6831.6172-.0858 178 Cancri 4315 15.8 + 37 02.0 +9.5059 -9765 +0.2875 -0.0165.6126 —.1009's. W. Territories. 20 B.A.C 3996 618 09.8 + 37 17.7 +9.0207 9976 +0.2874 +0.1608.5698 -.2063 S. W. Territories. 22 80 Virginis 6 18 21.8 + 15 41.9 -8.9075 -9986 +0.3548 0.8606. -55041-.2056 N, E. States. Page 21
For facilitating the Computation of such Occultations of Planets and Stars by the Moon as will be visible in North America during the year 1851. Page 22
For facilitating the Computation of such Occultations of Planets and Stars by the Moon as will be visible in North America during the year 1851.
-.2011 California & Mexico.
1851. Mag. po' a July 23 B.A.C. 1351 63 13 51.8 94 23.8 +9.4476 9.9822 -0.8082 +0.6166.5618 +.1365 25 15 Geminor 6 117 51.8 63 15.0 +9.5519 .9705 -0.7332 0.4866.5991 +.0344 . w. Territories. 2516 Geminor 6 18 06.8 59 32.2 +9.5459.9714 -0.6292 0.7956.6002 +.0344 N. W. Territories. 25 B.A.C. 2091 7 118 36.8 52 19.0 +9.5518 .9705 -0.6131 0.5'44.5994 +.0332 Oregon & California. 29 Lal. 19572 9 7 31.8 + 91 39.9 +9.4026 .9857 +0.7551 0.6787-5974 -.1638 N. E. States. 29 Lal. 19656 8 8 51.8 +110 57.0 +9.3931 .9863 +0.8147 0.7793-5955 -.1660 N. W. Territories. 30909 Hora 10 9 6 39.8 + 65 24.6 +9.2592 9927 +0.7283 0.6065-5833 —.1968 Newfoundland. 30 914 Hora jo 8 6 51.8 + 68 20.9 +9.2604 .9927 +0.7775 0.5381-5832 –.1969 Newfoundland. 30 987 Hora 10 8 8 39.8 + 94 19.8 +9.2384 -9934 +0.7654 0.7005-5821 -.1995 30 1094 Hora 10 8110 51.8 +126 01.8 +9.2321 .9936 +0.6909 0.4029.5805 30 40 Hora 11 9 12 21.8 +147 46.1 +9.1979 .9945 +0.7600 0.8433.5805 -.2026 Oregon 31 866 Hora 11 9 8 21.8 + 76 53.8 +8.9556 .9982 +0.7635 0.4959-5698 –,2171 31 875 Hora 11 9 8 31.8 + 79 17.2 +8.9547 .9982 +0.7439 0.4702-5699 —.2172 31 913 Hora 11 81 9 21.8 + 91 18.9 +8.9339 9984 +0.7180 0.5310.5695 —.2176 31 1038 Hora 11 8113 01.8 +144 25.2 +8.8364 9.9990 +0.7741 0.7186.5681 –.2191 Oregon. Aug. 1 736 Hora 12 81 811 7 39.8 + 54 10.8 +7.0139 0.0000 +0.7965 0.4764-5610 1 781 Hora 12 81 8 45.8 + 70 02.5 +6.8731 0.0000 +0.7273 0.2489-5604 - .2219 Southern States. I 819 Hora 12 8 9 51.8 + 85 59.8 – 8.2027 9.9999 +0.7919 0.9663-5599 –.2216 Northern States. 1 835 Hora 127 9 51.8 + 85 48.2 -7.4074 0.0000 +0.5981 0.1949-5601 –.2218 California & Mexico. 1 847 Hora 12 9 10 15.8 + 91 41.8 -7.7190 0.0000 +0.6981 -.2217 California & Mexico. 2 644 Hora 13 737 51.8 + 44 39.0 -8.9619 9.9982 +0.6637 0.5421-5553 -. 2145 N. E. States. 2 n Virginis 7 9 31.8 + 68 53.4 -9.0260 .9975 +0.7490 1.0375 -5544 —.2136 Lower Canada. 2 756 Hora 13 8 11 09.8 + 92 35.9 -9.0495 9972 +0.7878 1.0363-5541 -.2125 3 B.A.C.48377 8 01.8 + 34 41.4–9.2358.9935 +0.4393 0.3237-5541 -.1960 Southern States, 4 y Libra 4 9 11.8 + 39 10.6 -9.3924 .9863 +0.1899 0.2835-5558 -.1658 Mexico. 4 B.A.C. 5184 7.13 31.8 +102 33.2 -9.4278 .9838 +0.7789 0.8776.5547 0.8776.5547 –.1602 N. W Territories 4n Libræ 4114 09.8 +111 45.3 -9.4184 .9845 +0.8054 0.4207-5560 -.1587 California & Mexico. 5 z Ophiuchi 5 8 21.8 + 14 49.7 -9.4926 .9779 +0.2008 0.8466.5572 –.1306 7 14 Sagittarii 6 7 27.8 23 28.2 -9.5688.9679 -0.1325 0.5933.5613 —.0424 Nova Scotia. 8 o Sagittarii 4:4 51.8 - 74 12.0 -9.5727 .9673 -0.7651 4} 0.3780.5604 +.0011 Southern States. 8 B.A.C.6524 6 6 41.8 - 47 1.3 -9.5868 .9649 -0.3411 616 1.2167-5569 +.0051 Newfoundland. 8 B.A.C.6561 6 1 01.8 + 16 36.1-9.5717 .9675 +0.7218 0.36531.5595 +.0131 Southern States. 8 B.A.C.6607 6 13 21.8 + 49 39-7-9.5860 .9651 -0.0271 1.2462.5556 +.0181 N. W. Territories. 8 B.A.C.6638 6117 21.8 +108 23.6-9.5749 .9669 +0.7587 0.6772.5569 +.0260 Western Territories. 9 B.A.C.6889 6 9 33.8 17 37.9 -9.5684 .9680 -0.0734 0.98 26.5517 +.0567 1020 Capricor. 6 " 15.8 4 48.6 -9.52581 .9740 -0.1045 0.7127-5431 +.1018 13 Aquarii 5 8 27.8 78 59.3 -9.2573 .9928 -0.8574 0.7104-5163 +.1819 17 $? Ceti 22 16.7 +9.1322 .9960 -0.3239 0.7166.5208 +.1891 18 B. A.C. 845 4 1 51.8 +135 15.0 +9.2169 .9940 +0.8110 0.86601.5257 +.1823 Oregon. 20 89 Tauri 411 1 36.8 +108 48.5 +9.46831 .9804 +0.8033 0.2639.5553 +.1302 California & Mexico. 20 m Tauri 51/18 1.8 12 33.0 +9.5001 .9771 -0.7055 0.7704.5698 +.1023 Oregon. 21 x? Orionis 8; 57.4 +9.5391 .9723 -0.7739 0.5431.5829 +.0641 21 x* Orionis 517 51.8 30 40.6 +9.5369 .9726 -0.8364 0.8810-5871 +.0555 Oregon. 23 85 Geminor 63|14 27.8 -107 49.5 +9.5397 .9722 -0.7416 0.8602.6069 –.0508 Nova Scotia. 24 B.A.C.3058 7 115 09.8 -112 15.5 +9.5062 9764 -0.7107 0.3753.6056 -0111 Southern States. 2471 Cancri 7317 51.8 73 18.3 +9.4895 .97821-0.6336 0.81581.6067 -1167 N. W. Territories. 24 78 Cancri 56 34.8 +9.4916 :97801 -0.6985 0.5888.6056 -.1189 Oregon. 28 356 Hora 12 9 01.8 + 76 42.9 +8.5373 .9997 +0.7752 0.6163-5737 -.2 262 N. E. States 28 515 811 09.8 +136 28.7 +8.2562 .9999 +0.7736 0.6091-5721 -.2 268 Oregon. 29 298 Hora 13 9 8 01.8 + 78 20.3-8.8069 .9991 +0.7741 0.5691-5664 -. 2230 29 299 Hora 13 928 01.8 + 78 19.6 —8.8249 .9990 +0.7635 0.72441-5662 –.2230 29 307 Hora 13 9 8 06.8 + 19 32.7 -- 8.8269 .9990 +0.7757 79 0.7238.5662 -.2230 29 321 Hora 13 9 8 27.8 + 84 34.2 -8.8644 .9988 +0.7354 0.9922.5658 --.2228 Northern States. 30179 Hora 14. 9 6 45.8 + 47 20.8 -9.1808 -9949 +0.7362 0.7163 -5622 -.2075 Newfoundland. 30189 Hora 14 9 6 51.8 + 48 44.8 -9.1684 9.9952 +0.6898 +0.4458.5626 —.2075 N. E. States. Page 23
Calculation, (Table, page 18, Arg. c) log A 9.9978 log sinQ + 9.8469 M 324°1910 log A sin = log rsin ' t 9.8447 N log cos D + 9.9915 M - N logr sin cos D + 9.8362 270 00.0 (Table, page 18, Arg.) log B 0.0007 153 43.3 log cos 0 + 9.8521 102 37.2 log sin (M-N -N 9.6721 logrcos Q' sin (II + d) = logu = loga + 9.6994 log m + 9.1027 log cos(H + d) + 9.8523 log m sin(M — N) 8.7748 log r cos Q'cos(H + d) = log b + 9.7051 msin ( M - N) logk 9.4354 loga 9.4192 log log cos logan k 9.3394 9.1186 log sint + 9.9894 log k sinf + 9.4248 log n log an sin D = + 9.6722 log v' + 8.4103 log (1) + 9.7526 logoλ = logu' + 9.1243 log cos (M-N) 9.9458 - log 9.4305 bsin D .0993 – log cos( M – N) = rsin o cos D - bsin D log (2) + 9.3763 + •7851 (2) + + ? .8880.2379 (1) + 5657 9-V= mcos M + 1029 For Immersion, (2)-(1) = ta :3278 -5005 For Emersion, (2)+(1) = to + .8036 р •5744 logt, logt 9.5156 .0739 logu' + 9.1 243 v' + .0257 log tu log u + 8.4103 log tu! 7.9259 .1331 to .0084 p -5546 p-u + .7851 n sin N + .4215 v + tv + .7767 log m sin M 8.8686 tu! .0436 .5005 :5441 + 9.9097 log (u + tu) log m' + 9.1027 9.7357 log n sin N + 9.6248 ut tu log (v + tu') + 9.8903 log log n cos N log tan ľ 9.3183 vt tv 9.8454 log tan N 0.3065 log sin N + 9.9526 logn + 9.6722 T +d 9.4305 (Reduced to hours and minutes) ta o 19.7 IMMERSION: Halifax Mean Time = T +d+t 13 25.9 P-35° 007 Immersion Angle from North Point = Q Immersion Angle from Vertex V Page 24
Calculation for a more accurate determination of the Time, etc., of Emersion.
H+d -44°374 (From first determination) M 324°1910 (Table, page 20, Arg. () + 6 2.6 N M-N 207 39.0 log r cos O' + 9.8528 270 00.0 (Table, page 20, Arg. 1.) loga 9.4184 270° – N 154 20.0 log cos' + 9.8930 H log r cos o' a cos H' = log u + 9.1642 270° - N + = Q log r cos a t 9.2712 (2) .2454 log sin D - 9.2917 (1) + -5821 log sin H 9:7949 (2)+(i) = .8275 log r cos Q' a sin D sin H' = log u + 8.3578 logt + 9.9178 D' .0228 lognsin N + 9.6113 .1824 log tn sin N + 9.5291 d ncos N .2052 log n cos N 9.3122 u' + .1460 login cos N 9.2 300 P + tn cos N .1698 p-u n sin N + .4086 (From first determination) mcos M + .1029 log n sin N + 9.6113 mcos M +incos N = (3) .0669 log n cos N 9.3122 in sin N + -3382 log tan N 0.2991 (From first determination) m sin M .0739 log sin N + 9.9512 msin M + ensin N = (4) .2643 log n + 9.6601 (4) .0698 (From first determination) log m + 9.1027 (3) .0045 - log" 9.4426 .0743 log u' + 9.1642 log sin (M-N) - 9.6666 log tu' + 9.0820 log m sin M - N) 8.7693 log u + 8.3578 msin (M-N) log k 9.4354 logtv + 8.2756 log log cos 9.3339 .0189 k log sin + 9.9897 (From first determination) + -7851 log k sin + 9.4251 ut tv + .8040 ksin tu log .1 208 log (1) + 9.7650 (From first determination) -5005 – log cos (M - N) = log (2) + 9.3899 u + tu •3797 log (u + tu) 9.5794 log (v + tv') + 9.9053 u + tu ut to log tan P - 9.6741
EMERSION : Halifax Mean Time =
T +d 13 45. 5.6 + O 49.7 T +d+t 14 35-3 P -25°16:5 256 47.5 V 231 31.0
Emersion Angle from North Point
This last determination of the time of emersion is probably true to the nearest tenth of a minute. The angles Q and V are also determined with corresponding precision; but for these, the nearest degree is sufficient for the purpose of making an observation. Page 25
SMITHSONIAN CONTRIBUTIONS TO KNOWLEDGE.
VISIBLE IN THE UNITED STATES
EXPENSE OF THE FUND APPROPRIATED BY CONGRESS
FOR THE ESTABLISHMENT OF A
AND PUBLISHED BY THE SMITHSONIAN INSTITUTION. Page 26
For facilitating the Computation of such Occultations of Planets and Stars by the Moon as will be visible in North America during the year 1851.
Jan. 4 Lal. 40386 811 51.8 0 05.7 -9.5159 9.9753 +0.3624 +1.0283.5381 +.0978 Newfoundland 5 Lal. 42684 8 7 51.8 + 76 14.1-9.4392 9830 +0.5818 1.0474 -5272 +.1383 5 B.A.C.7640 79 51.8 +105 37.1-9.4358 .9832 +0.8886 1.1830.5263 +.1401 Oregon. 6 543 Hora 22 9 0 13.1-9.3570 .9885 +0.3212 0.8271.5217 +.1582 Newfoundland. 6 604 Hora 22 9 Š 11.8 + 26 36.9-9.3570 .9885 +0.4739 1.1166.5205 +.1602 N. E. Staten, 6 607 Hora 22 9 5 11.8 + 26 35.8 -9.3515 .9888 +0.4544 0.9281.5208 +.1602 6614 Hora 22 8 8 5 11.8 + 26 32.0-9.3353 .9896 +0.3872 0.3917-5218 +.1602 Southern States. 6691 Hora 2 2 837 36.8 + 62 04.0-9.3312 .9898 +0.7593 0.6473.5210 +.1632 6767 Hora 22 9 9 21.8 + 87 30.7 -9.3273 .9900 +0.7216 0.8044-5200+.1637 Oregon & California. 6 814 Hora 22 9 10 51.8 +109 30.0-9.3292.9899 +0.8774 1.1128.5190 +.1650 Oregon. 6816 Hora 2 2 8 10 51.8 +109 28.2-9.3161 .9905 +0.8461 0.6976.5198 +.1650 California de Mexico. 6881 Hora 22 8 112 36.8 +134 59.4 -9.3226 .9902 +0.8833 1.1970.5186 +.1662 Oregon. 7 260 Hora 23 8 o 27.5 -9.2280.9937 +0.3465 1.1970-5156 +.1782 Newfoundland. 23 8 4 33.8 + 6 55.6 -9.2172.9940 +0.4563 1.0144.5157 +.1782 New foundland. 8 4 33.8 + 6 45.9–9.2210 .9939 +0.2803 1.1087-5157 +.1782 Lower Canada. 7 322 Hora 23 8 5 39.8 + 22 49.8 -9.2074 -9943 +0.3228 0.9739-5158 +.1788 7 B.A.C. 8154 7 5 39.8 + 22 49.7 -9.2074 .9943 +0.32 14 0.9745-5158 +.1788 7 336 Hora 239 6 21.8 + 33 11.2-9.1945 .9946 +0.4966 0.7971.5157 +.1794 7 364 Hora 239 7 21.8 + 47 54.3 -9.1771 9951 +0.6586 0.5824-5159 +.1800 7 573 Hora 23 8 13 03.8 +131 10.6 -9.1588 -9954 +0.9016 8 1.2212.5144 +.1836 Oregon. 8 16 Hora o 9 6 06.8 + 19 03.8 -8.8956.9987 +0.2925 0.2492.5150+.1913 Southern States. 8 86 Hora o 8 8 21.8 + 52 06.5 -8.86581 .9988 +0.5769 0.3503-5147 +.1920 Southern States 8 103 Hora o 71 906.8 + 63 06.9-8.9168 .9985 +0.6613 1.0725-5144 +.1923 N. W. Territories. 8. 127 Hora o 9 9 21.8 + 81 33.3 -8.8929 .9987 +0.9091 1.0335-5145 +.1927 Northern States. 8 204 Hora o 8 112 39.8 +115 03.0 -8.7612 9993 +0.8888 0.1871.51501 +.1932 California & Mexico. 8 235 Hora o 7213 21.8 +125 14.2 -8.8586 9.9989 +0.8738 -8.8586 9.9989 +0.8738 1.2368-5145 +.1935 Oregon. 9 832 Hora o 8 6 11.8 + 9 50.8–8.1372 0.0000 +0.1784 0.8482-5177 +.1966 9 858 Hora o 8 7 21.8 + 27 02.2 -7.7918 0.0000 +0.3922 0.60741.51781 +.1966 9 861 Hora o 8 © 21.8 + 26 58.9–7.9080 0.00001 +0.3323 0.72581.5178 +.1966 9 904 Hora o 8 9 21.8 + 56 31.1-6.5664 0.0000 +0.7739 0.6371.5183 +.1967 112 Ceti 4 46 21.3 +9.1319 9.9960 -0.5968 0.4496-5365 +.1864 1 B. A. C. 845 4 14 33.8 +110 25.4 +9.2167 .99401 +0.8194 0.61141.54351+.1796 12 f Tauri 521 21.8 + 51 50.1 +9.3327 .9897 +0.5031 1.0605 -5601 +.1602 13 48 Tauri 48 35.5 +9.4136 .9849 -0.4973 1.0418.5753 +.1367 Newfoundland. 13, Tauri iz 31 6 51.8 27 01.8 +9.4203 .9844 -0.6250 0.9965.5763 +.1344 N. W. Territories. 13 55 Tauri 7 6 51.8 27 02.9 +9.4445 .9825 -0.6399 0.0763 -5738 +.1344 Texas. 13 63 Tauri 6 9 51.8 + 17 12.2 +9.4514 9819 +0.2295 0.1992 .5766 +.1298 13 B.A.C. 1351 619 51.8' + 17 11.3 +9.4476.9822 +0.2141 0.3511 -5770 +.1298 7 9 33.8!+ 12 07.8 +9.4294 .9837 -0.4982 1.0m11:5784+.1305 Oregon. 1375 Tauri 6 12 51.8 + 61 03.8 +9.4409 .9828 +0.7248 0.9931-5814 +.1249 Canada. 13a Tauri 1 15 51.8 +104 19.5 +9.4457 .9824 +0.6442 1.1701.5849 +.1199 Oregon. 14 B.A.C. 1625 7 32 42.1/+9.4962 .9775 -0.0663 0.7036 -5955 +.0909 14 119 Tauri 5713 51.8 + 61 12.2 +9.5010 .9770 +0.1317 1.0366.60171+.0774 Oregon. 15 68 Orionis 6 95 38.8 +9.5302 .9735 -0.6891 0.5635.6094 +.0446 Newfoundland. 15 16 Geminor 6 11 33.8 + 13 41.5 +9.5459 .97141 +0.1954 0.0760.6109 +.0277 15 Geminor 4 12 06.8 + 21 42.4 +9.5402 .97211 +0.2915 0.3681.6125 +.0253 15 B.A.C.2173 7 116 51.8 + 90 22.3 +9.5296 .97361 +0.6176 0.97181.6166 +.0141 N. W. Territories. 1661 Geminor 7 8 51.8 40 42.01 +9.5453 -97141 -0.3955 0.1152.61701–.0263 16 B.A.C.2499 7 13 01.8 + 19 25.7 +9.5441 .9716 -0.1715 0.0449 .6172 -.0378 s. w. Territories. 16 B.A.C.2605 3 20 01.8 +120 58.8 +9.5278 .97381+0.7027 0.49811.6187 –.0554 Oregon. 17 di Cancri 6 – 102 46.1 +9.5083 -9762 -0.6863 0.7403.61831-.0775 Nova Scotia. 17 0 Cancri 528 51.8 - 55 57.1 +9.5036 .9767 -0.6005 +0.6831.6172-.0858 178 Cancri 4315 15.8 + 37 02.0 +9.5059 -9765 +0.2875 -0.0165.6126 —.1009's. W. Territories. 20 B.A.C 3996 618 09.8 + 37 17.7 +9.0207 9976 +0.2874 +0.1608.5698 -.2063 S. W. Territories. 22 80 Virginis 6 18 21.8 + 15 41.9 -8.9075 -9986 +0.3548 0.8606. -55041-.2056 N, E. States. |
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