Unformatted text preview: center of earth r e earth station d r s local horizontal ψ E ❚ ✸ satellite γ Figure 2.2.5 Use the Law of Cosines to show that d = r s r 1 + p r e r s P 2 − 2 p r e r s P cos γ , and then use E = ψ − 90 ◦ and the Law of Sines to show that cos E = sin γ r 1 + p r e r s P 2 − 2 p r e r s P cos γ . Note: This formula allows the angle of elevation E to be calculated from the coordinates of the earth station and the subsatellite point (where the line from the satellite to the center of the earth crosses the surface of the earth). 3 3 See pp. 2225 in T. PRATT AND C.W. BOSTIAN, Satellite Communications , New York: John Wiley & Sons, 1986....
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 Fall '11
 Dr.Cheun
 Calculus, Trigonometry, Angles, Law Of Cosines, Law of sines, triangle, earth station

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