National Institute of Informatics - Digital Silk Road Project
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Report of a Mission to Yarkund in 1873 : vol.1 |
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.) |
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SPECIMEN COPY OF COMPUTATION OF ONE DAY'S
Computation of Longitude fr
At Kashghar (Yangi-Shahr) Station, on
West of Meridian. Moon Lower Limb observed. | o I FI Lat. N. = o = 39 24 32 Assumed |
Ref. No.
3
No. of observation (Mean of F. L. and F. R.)
Chronometer Time of observation
„ Correction ..
Local Mean Time (Ast. D.) = 28 days ... +
Approx. Gr. Mean Time = (3) + LI = 28 days +
Q 's observed Zenith Distance ... ... = 4-0
Refraction (for B and T) = r ... ... _ +
Q 's Semi-diameter at (4) from N. A. = S ...
From Table I A S ...
(5) -t- (6) + (7) + (8)
Q's Horizonttal Parallax at (4) from N. A. = 7r'
From Table II A 7r' +
Log. 7r1 '' = log. (7r -f- A 7r)" ..
Log. sin ;2 ...
(12) + (13) = log. (ri sin 4.2 )" 7r1 Sill 42
(9) - (15) = ~2 - 7r1 sin C2 = ~1
Q's Declination at (4) from N.A. = 3 ... +
A3 from Table III ... ... +
(17) +(18)=B+A = ... +
4-(19)=(0-)
(16) + (20) = 4'1 + - 81 ) = 2 al
(16) - (20) = 4-1 - ($ -- 1 ) = 2 o2
ol
02
Log. sin al ...
Log. sin 0.2 Log. sec o
Log. sec 31 ...
(25) -F (26) + (27) + (28) = log. sin 22 t Log. sin 2 t
t (in arc) ...
S. T. Gr. Mean Noon on 28 days (see (4) )
Local Mean Time (same as (3) ) ... ...
Acceleration for (4) ..
(32) + (33) + (34) = local S. T. of observation = 0
t (in time) deduced from (31) ... ... +
Q's Right Ascension or AR = B - t Greenwich Mean Time for (37) from N. A. ...
(38) - (33) = Approx. Long. = L2
(39)-L,=L2-Ll ... ... +
At (38) change in Q 's A R for increment of lm = Xs +
Do. Do. Decn. Do. = /3" +
Log. cos o (see (27) ) Log. sin t (see (31) ) Log. cosec 41 (see (16) )
1 2
10 47 55.2 10 52 31.3
22 20.4 22 20 4
10 25 34.8 10 30 10.9
5 20 34.8 5 25 10.9
46 56 38 47 43 14
57 59
16 2 16 2
11 11
46 41 22 47 28 0
58 45 58 44
5 5
3.54777 3.54765
P86192 P86740
3.40969 3.41505
42 49 43 20
45 58 33 _46 44 40
11 57 8 11 58 15
15 15
11 57 23 11 58 30
27 27 9 27 26 2
73 25 42 74 10 42
18 31 24 19 18 38
36 42 51 37 5 21
9 15 42 9 39 19
P7765729 J.7803585
1.2066735 P2245847
0.1120256 01120256
0.0095255 00095554
T•1047975 T•1265242
1•5523988 1•5632621
41 48 18 42 54 56
18 28 5.8 18 28 5-8
10 25 34.8 10 30 10.9
52.7 53.4
4 54 33.3 4 59 10.1
2 47 13.2 2 51 39.7
2 7 20.1 2 7 30 4
5 21 1.1 5 25 47.8
5 4 33.7 5 4 23' 1
26.3 • 36.9
2155 2.155
14•621 14.615
P8880 P8880
T•8239 P8331
0.1432 0.1377
... = r,2
10 57 26.2
22 20.4
10 35 5.8
5 30 5•8
48 33 30
1 0
16 2
11
48 18 17
58 44
5
3.54765 P87314 3.42079 43 55
47 34 22
11 59 27
15
59 42
24 50
59 12
9 32
29 36
4 46
11
27
74 20 37 10
P7843813 P2430716 0.1120256 0.0095876 T•14906Ei1
T.5745331
44 6 8
18 28 5.8
10 35 5.8
54.2
5 4 5.8 2 56 24.5 2 7 41.3 5 30 51.2 5 4 14.6
45.4
2.156
14609
T•8880
T.8426
0.1319
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