What would happen to a satellite if its orbit speed was reduced by half? PLEASE ANSWER QUICKLY

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What would happen to a satellite if its orbit speed was reduced by half?

PLEASE ANSWER QUICKLY

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Mộc Miên 5 years 2021-08-21T03:59:56+00:00 1 Answers 21 views 0

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  1. trucchi
    0
    2021-08-21T04:01:44+00:00
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    Answer:

    The radius of orbit will increase by 4, the satellite will move away from the 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 is reduce to half, then:

    R’ ∝ 1/ (v/2)²

    R’ ∝ 1/(v²/4)

    R’ ∝ (4)(1/v²)

    R’ ∝ (4)(R)

    The radius of orbit will increase by 4, the satellite will move away from the Earth

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