A satellite is launched from a spherical planet of radius R. The initial velocity of the satellite is not enough to remove it from the planet's influence, so it returns to the planet's surface with velocity vector parallel to the initial velocity vector. The angular separation between the launch point and the return point is X. How long does the satellite's flight last, knowing that the period of rotation of a body around the planet just above the surface is T0 and what will be the maximum distance of the satellite above the planet's surface?

Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
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A satellite is launched from a spherical planet of radius R. The initial velocity of the satellite is not enough to remove it from the planet's influence, so it returns to the planet's surface with velocity vector parallel to the initial velocity vector. The angular separation between the launch point and the return point is X. How long does the satellite's flight last, knowing that the period of rotation of a body around the planet just above the surface is T0 and what will be the maximum distance of the satellite above the planet's surface?

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