A satellite of negligible mass moves in a circular orbit of radius around a planet of mass

PHYSICS · Subjective · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

A satellite of negligible mass moves in a circular orbit of radius rr around a planet of mass MM. (i) State Newton’s law of universal gravitation. (ii) Explain, without performing any numerical calculation, how careful measurements of the satellite’s orbital radius and time period can be used to obtain an estimate of the planet’s mass. Your answer should clearly link the relevant physical ideas and express the mass in terms of the measurable quantities.

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