Derive the formula for orbital velocity (\(v_o\)) for a satellite of mass \(m\) around a planet of mass \(M\) and at distance \(r\) from center of planet.
Solution.
To find it's solution we need to equate the gravitational force with centripetal force.
\(G\dfrac{Mm}{r^2}=\dfrac{m{v_o}^2}{r}\)
From above we'll get,
\(v_o=\sqrt{\dfrac{GM}{r}}\)
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