An astronaut takes a ball of mass \( m \) from earth to space. He throws the ball into a circular orbit about earth at an altitude of \( 318.5 \, \text{km} \). From earth's surface to the orbit, the change in total mechanical energy of the ball is \( x \times \frac{G M_{e} m}{21 R_{e}} \).
The value of \( x \) is: (take \( R_{e} = 6370 \, \text{km} \))
