Mathematics · Gravitation and Satellites

Two satellites revolve around a planet in coplanar circular orbits in an anticlockwise direction. Their periods of revolution are 1 hour and 8 hours respectively. The radius of the orbit of the nearer satellite is 2 × 103 km. The angular speed of the farther satellite as observed from the nearer satellite at the instant when both the satellites are closest is πx rad/h. Find the value of x.

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