What would happen to a satellite if its orbit speed doubled?

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What would happen to a satellite if its orbit speed doubled?

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RobertKer 5 years 2021-08-21T03:51:51+00:00 1 Answers 52 views 0

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  1. Latifah
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    2021-08-21T03:53:23+00:00
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    Answer:

    The radius of orbit will decrease by 1/4, the satellite will come closer to Earth

    Explanation:

    The orbital speed of any body revolving in an orbit around another boyd is given by:

    v (orbital) = √(G · M(central body)/R)

    Where G is the gravitation constant.

    If the body, e.g satellite is moving around the Earth, then the mass of central body M will also be a constant. Therefore, the only thing on which the orbital velocity will depend on will be Radius of the orbit R.

    v ∝ 1/√R

    √R ∝ 1/v

    Take square:

    R ∝ 1/v²

    If the velocity of satellite will doubles, then:

    R’ ∝ 1/ (2v)²

    R’ ∝ 1/4v²

    R’ ∝ (1/4)(1/v²)

    R’ ∝ (1/4)(R)

    The radius of orbit will decrease by 1/4, the satellite will come closer to Earth

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