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    The Solution to Kepler's Laws and Earth Satellites

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    A geosynchronous satellite stays above the same point on the equator of the Earth (a typical TV satellite). Determine algebraically:

    (a) The height above the Earth's surface it must be.

    (b) What the satellite orbital speed is?

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    Solution Preview

    To solve this problem, I will let m be mass of satellite and M be mass of earth.

    We only have force of gravity on satellite so that must be the force that holds the satellite in orbit.

    Gravity: F = GmM / r^2
    force needed for circular motion: F ...

    Solution Summary

    This solution discusses the solution to Kelper's Laws and Earth satellites.