A satellite is originally on a low Earth orbit with the orbital period of T = 1.4 hours. (a) What are the radius R1 of the orbit and orbital speed? (b) What is the radius R2 of the orbit with the orbital period which is eight times longer? (c) By how much does the speed need to be increased in order to get to that orbit? hint: The Earth radius is R = 6.371 × 10^3 km and free fall acceleration on the surface is g = 9.8 m/s^2
Here we apply Kepler's third law for planetary motion.
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