Newcomb, Simon, 1835-1909, Holden, Edward Singleton, 1846-1914, joint author · New York, H. Holt and Company · leaf 67
asured, while the ab-solute values of these are unknown. In this consists its advantage.Latitude by a Single Altitude of a Star.~In the triangleZF8 (Fig. 14) the sides are ZP = 90° — 0; P /S = 90° — c^; Z8 =Z = 90° — a; ZP8 = ?i = the hour-angle. If we can measure atany known sidereal time 6 the… … sin a = sin 0 sin 6 + cos 0 cos 6 cos h (1) a and 6 are known, and h = 6 — a, so that 0 is the only unknown. Put <^ sin D = sin 6 (2) d cos D = cos ^ cos h, (3) whence d and D are known, and (1) becomes d cos (0 — D) = sin a, (4) whence 0 — D and 0 are known. The altitude a is usually…
Astronomy
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