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physics

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What is the orbital radius and speed of a synchronous satellite which orbits the earth once every 24h?

  • physics - ,

    synchronous? Would it travel one revolution per day?

    Period=24 hr=24*3600seconds

    speed=2PI*radius/period.

    Now we know gravity is the attractive force...and it equals centripetal force.

    GMeMs/r^2=Ms*v^2/rad

    GM3Ms/r^2=Ms (2PI radius/period)^2/radius

    and you can solve for orbital radius with a little algebra. Then use that to solve for speed.

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