Two satellites and revolve round a planet in coplanar circular orbits in the same sense

PHYSICS · Multi-part · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

Two satellites S1S_1 and S2S_2 revolve round a planet in coplanar circular orbits in the same sense. Their periods of revolution are 1 hour and 8 hours respectively. The radius of the orbit of S1S_1 is 10410^4 km. When S2S_2 is closest to S1S_1 , find (i) the speed of S2S_2 relative to S1S_1 , (ii) the angular speed of S2S_2 as actually observed by an astronaut in S1S_1 .

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