R= 6370 km 42 140 km 300 km Intended B trajectory Actual trajectory
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A space platform is in a circular orbit about the earth at an altitude of 300 km. As the platform passes through A , a rocket carrying a communications satellite is launched from the platform with a relative velocity of magnitude 3.44 km/s in a direction tangent to the orbit of the platform. This was intended to place the rocket in an elliptic transfer orbit bringing it to point B , where the rocket would again be fired to place the satellite in a geosynchronous orbit of radius 42 140 km. After launching, it was discovered that the relative velocity imparted to the rocket was too large. Determine the angle y at which the rocket will cross the intended orbit at point C.
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