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0468 Report of a Mission to Yarkund in 1873 : vol.1
Report of a Mission to Yarkund in 1873 : vol.1 / Page 468 (Color Image)

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[Figure] l 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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doi: 10.20676/00000196
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( 334 )

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

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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

   T1047975   T1265242

   15523988   15632621

   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

14621   14.615

P8880   P8880

T8239   P8331

0.1432   0.1377

...   = r,2

10 57 26.2

22 20.4

10 35 5.8

5 30 58

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 T14906Ei1

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

T8880

T.8426

0.1319