A satellite is moving in a low nearly circular orbit around the earth. Its radius is roughly equal to that of the earth's radius R e . By firing rockets attached to it, its speed is instantaneous

Question

A satellite is moving in a low nearly circular orbit around the earth. Its radius is roughly equal to that of the earth's radius R e . By firing rockets attached to it, its speed is instantaneously increased in the direction of its motion so that it become 3 2 times larger. Due to this the farthest distance from the centre of the earth that the satellite reaches is R . Value of R is :

TestHub · Accepted Answer

V = G M R e From angular momentum conversation - G M m R e + 1 2 m 3 2 V 2 = - G M m R max + 1 2 m V min 2 From angular momentum conversation 3 2 VR e = V min R max Eliminating V min from equation (i) and (ii) we get R max = 3 R e

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