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    wlmp Posts: 3, Reputation: 1
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    May 13, 2004, 05:19 AM
    Law of Universal Gravitation
    At what height above the earth must an artificial satellite orbit if it is to remain at the same place relative to the earth?
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    himan Posts: 1, Reputation: 1
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    Aug 2, 2004, 05:16 AM
    Re: Law of Universal Gravitation
    The anglular velocity of the satellite must be same as the angular velocity of the spin of the earth. Let the mass of the satellite be m and the mass of the earth be M and the angular velocity of earth be w (w = 2*pi/24 hours). The force balance eqn

    mrw^2 = GMm/r^2

    Solving you get r = (GM/w^2)^(1/3)

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