Gravitational potential energy between two points masses is
`U = -(Km_(1)m_(2))/(r^(n))`
where, K is a positive constant. With what power of 'r' time period of a satellite of mas 'm' varies in circular orbit if mass of planet is `M` ?

Explanation

To solve the problem, we need to determine how the time period \( T \) of a satellite in a circular orbit varies with the distance \( r \) from the center of the planet, given the gravitational potential energy formula:

\[ U = -\frac{K m_1 m_2}{r^n} \]

where \( K \) is a positive constant, \( m_1 \) and \( m_2 \) are the masses, and \( r \) is the distance between them.

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