Two satellites revolved around a plane in coplanar circular orbits in anticlockwise direction. Their period of revolutions are \( 1 \) hour and \( 8 \) hours respectively. The radius of the orbit of nearer satellite is \( 2 \times 10^3 \, \text{km} \). The angular speed of the farther satellite as observed from the nearer satellite at the instant when both the satellites are closet if \( \frac{\pi}{x} \, \text{rad} \, \text{h}^{-1} \) where \( x \) is:
