Question

A satellite is transferred from a circular orbit of radius \(r\) to a circular orbit of radius \(5r\). What is the time taken for the transfer in terms of the period (\(T_1\)) of the first orbit?

• A. \(5.59\,T_1\)
• B. \(3\,T_1\)
• C. \(6\,T_1\)
• D. \(8\,T_1\)

Hint:

For circular satellite orbits, \[ \boxed{ T\propto r^{3/2} } \] and for a Hohmann transfer, \[ \boxed{ t_{\text{transfer}} = \frac12 T_{\text{ellipse}}. } \] Note: The given data and options are inconsistent with the standard orbital mechanics formula. The official answer key specifies option (D).

Answer 1

The Correct Option is D