Two satellites, A and B, have masses m and 2m respectively. A is in a circular orbit of radius R, and B is in a circular orbit of radius 2R around the earth. The ratio of their kinetic energies `T_(A)//T_(B)` is `1/x`. Find the value of x.

Explanation

To find the value of \( x \) in the ratio of the kinetic energies of two satellites A and B, we can follow these steps:

### Step 1: Determine the orbital velocity of satellite A
The gravitational force provides the necessary centripetal force for satellite A. The centripetal force is given by:

\[ F_c = \frac{m v_A^2}{R} \]
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