SOLUTION: (b) As shown in the figure (2), three satellites are equally spaced in equatorial synchronous orbits.Use the value of θ obtained in part (a) to explain why all points on the equat
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-> SOLUTION: (b) As shown in the figure (2), three satellites are equally spaced in equatorial synchronous orbits.Use the value of θ obtained in part (a) to explain why all points on the equat
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Question 1198660: (b) As shown in the figure (2), three satellites are equally spaced in equatorial synchronous orbits.Use the value of θ obtained in part (a) to explain why all points on the equator are within signal range of at least one of the three satellites. Shown in the figure is the area served by a communications satellite circling a planet of radius R at an altitude a. The portion of the planet's surface within range of the satellite is a spherical cap of depth d and surface area A = 2π Rd.
(C) Express d in terms of R and θ.
(d) Estimate the percentage of the planet's surface that is within signal range of a single satellite in equatorial synchronous orbit