Elementary Treatise On Navigation And Nautical Astronomy
Elementary Treatise On Navigation And Nautical Astronomy
Eugene Lamb Richards
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Th t ' sin parallax _ E smSAC~~d' sin(90 + A)~ eP or (2) sin (parallax) = ^ sin (90 + h)=^ cos h. CL Cv Suppose the celestial body to be in the horizon at B ; then 7-> sin parallax = sin ABC= d In this case the parallax is called the horizontal parallax ; that is, 7~> (3) sin horizontal parallax = a 7~> Substituting in (2) this equivalent of, we have a (4) sin parallax = sin (horizontal parallax) cos h. Since parallax and horizontal parallax are always small angles (except in the case of the mo...on), we may substitute for the sines the measures of these angles, at any altitude, and (4) becomes parallax = horizontal parallax x cos h. Both from the equation and from the figure it is evident that parallax is greatest when the heavenly body is in the horizon ; decreases as the altitude of the body increases ; and vanishes at the zenith. NAUTICAL ASTRONOMY 121 Also, from the figure, if S be at a very great dis- tance from the earth, d may be so large that the ratio D approaches ; in that case, sin parallax in (2) will a vanish.
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