An artificial Earth satellite rotates in a circular orbit of radius R with period T1. At some point, the jet engine was turned on for a very short time, increasing the speed of the satellite by a factor, and the satellite began to rotate in an elliptical orbit. The engine imparted acceleration to the satellite all the time in the direction of movement. Determine the maximum distance of the satellite from the center of the Earth that it will reach after turning off the engine. Find also the period T2, the satellite’s revolution in a new (elliptical) orbit
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