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    bk1995's Avatar
    bk1995 Posts: 1, Reputation: 1
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    #1

    Jan 31, 2012, 09:21 PM
    Speed of a satellite
    what is the speed of a satellite in orbit 270km above Mercuryls surface if the mass of Mercury is 3.30x10^23kg and the radius is 2.44x10^6m?
    Aurora2000's Avatar
    Aurora2000 Posts: 111, Reputation: 16
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    #2

    Feb 1, 2012, 02:11 AM
    If the satellite is in circular orbit, then the gravitation acceleration must equal the centripetal acceleration.

    Let be the mass and radius of Mercury, the distance from Mercury (here 270km), and the speed of the satellite.

    Gravitation:
    Centripetal:

    Then solve

    in v using problem's data.
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