USAAAO - Celestial Coordinate Systems & Basic Spherical Trigonometry Formulae
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Last updated 12:05 PM on 1/8/25
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5 Terms
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Horizon Dip Angle
θ = arccos(R/(R+h))
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Sidereal Time with Hour Angle and Right Ascension
ST = α + H
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Spherical Law of Sines
sin(A)/sin(a) = sin(B)/sin(b) = sin(C)/sin(c)
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Spherical Law of Cosines #1
cos(a) = cos(b)*cos(c) + sin(b)*sin(c)*cos(A)
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Spherical Law of Cosines #2
cos(B)*sin(a) = -cos(A)*sin(b)*cos(c) + cos(b)*sin(c)