Practical Astronomy for Engineers

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. . .
Equations ( 180) used in connection with tables for log G, or with formulae (182) afford a convenient and precise method of calculating the azimuth of any of the close circumpolar stars whose apparent places are given in the Ephemeris, pp. 312-323.
Equations (180) are rigorous, however, and for approximate results they may be simplified, especially if the circumpolar observed is Polaris. For this object TC at the present time is i 11', and for latitudes less than 60, its azimuth will alwa
...ys differ from 180 by less than 2 3'. We may therefore write 180 A = 7t (183) with an error not exceeding 2". For latitudes of 45 or less the error will always be less than i".
TABLE IX t logG log G sec (p t 0* o . 0075 o. 1167 24 h I o 0073 0. 1165 23 2 0. 0065 0. 1156 22 3 0. 0053 0. 1145 21 4 0. 0037 0. 1129 20 5 0. 0019 O. IIII 19 6 o. Oooo o. 1092 18 7 9. 9981 o. 1072 17 8 9. 9963 0. 1055 16 9 9. 9948 0. 1039 *S 10 9. 9936 o. 1028 H ii 9. 9928 O. IO2O 13 12 9. 9926 o. 1018 12 Further, logG may be tabulated, as in Table IX, for a mean value of the lati- tude with t as argument.


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