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A satellite is orbiting a distant planet of mass 9.6e25 kg and radius 86700 km. The satellite orbits at a height of 8610 km above the surface of the planet.

a) Determine the acceleration due to gravity at the location of the satellite orbit.
b) Determine the velocity of the satellite in this orbit.
c) What is the period of the satellite in this orbit?

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  1. weight of stationary object there = m g = G m M/r^2
    so
    g =
    6.67*10^-11*9.6*10^25
    /(86,700,000+8,610,000)^2

    b) v^2/r = g

    c) T = 2 pi r/v

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