Find the orbital speed v of a satellite in a circular orbit of radius r around a planet of mass m.

Question

Find the orbital speed v of a satellite in a circular orbit of radius r around a planet of mass m.

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Tryphena 4 years 2021-08-11T11:51:38+00:00 1 Answers 95 views 0

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  1. Adela
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    2021-08-11T11:52:47+00:00
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    Answer:v=\sqrt{\frac{Gm}{r}}

    Explanation:

    Given

    Orbital speed is v

    Mass of planet is m

    Radius of circular orbit is r

    suppose M is the mas of satellite then centripetal force on satellite is equal to the Gravitational Pull.

    \frac{Mv^2}{r}=\frac{GMm}{r^2}

    where G=gravitational constant

    thus on solving we get

    v=\sqrt{\frac{Gm}{r}}

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