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Report of a Mission to Yarkund in 1873 : vol.1 |
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SPECIMEN COPY OF COMPUTATION OF ONE DAY'S OBSERVATIONS FOR LONGITUDE AT KASHGHAR. Computation of Longitude from Lunar Zenith Distances. At Kashghar ( Yangi-Shahr) Station, on 28th December 1873 ( Civil Date, P.M.) -(Continued.) |
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SPECIMEN COPY OF COMPUTATION OF ONE DAY'S
Computation of Longitude
~t Kashghar (Yangi-Shahr) Station, on
West of Meridian.
Moon Lower Limb observed. Lat. N. = ¢ = 39 24 ,32 I Assu med
Ref. | No. of observation (Mean of F. L. and F. R.) | 1 | 2 | 3 |
| (43) + (44) + (45) = Log. sin q ... | T•8551 | T•8588 | T•8625- |
| Log. tan q from (46) | 0.0114 | 0.0190 | 0.0269 |
| Log. cos 31 (see (28) ) ... ... | T•9905 | T•9904 | T•9904 |
| Log..X (see (41) ) ... ... | 0.3334 | 0.3334 | ' 0.3336 |
| Log. 15 ... | 1.1761 | 1.1761 | 1•1761 |
| Log. sum r (47) + (48) + (49) + (50) ... | 1.5114 | 1.5189 | 1•5270 |
| Log. ß | 1.1650 | 1•1648 | 1.1646 |
| (52) — (51) = log. a (see Table IV.) ... + | T•6536 | T•6459 | T•6376 |
| 1 + a | 1.450 | 1.442 | 1.434 |
| I2—~_ l~Ll | 18s. 26s. | 32s. | |
| 1-}-a |
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| L= Li + A Li — | 5h. 4m. 42s. 4m. 34s. | 4m. 288. |
Explanation of Symbols adopted.
Ast. D. stands for Astronomical Date.
Gr: do. Greenwich.
S. T. do. Sidereal Time.
N. A. do. Nautical Almanac.
Approx : do. Approximate.
Rules for Computation.
Compute 3 for each observation, i.e., for Nos. 1, 2, 3 ... 8. Do. A a
Do. S for middle observation, and adopt this value as constant for all the other observations.
Do. L it
Do. 1 and AS for No. 1 and No. 8, and interpolate for Nos. 2 to 6 with change in Gr. Mean Time for
argument.
NOTE.-S and AS have the same sign and are both =L.— when upperlimb of Q is observed ; Aa is +
lower
in N. Latitude ; t is —!— if Q is we Meridian ; X is always + ; (3 is =I-- when Q is moving in Declination from
S. to N. sign of a = sign of /3 x sign of t. N. to B.
o r v
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