A communication satellite is shifted from an initial circular orbit of radius to a…

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

Problem

A communication satellite is shifted from an initial circular orbit of radius r1r_{1} to a new circular orbit of radius r2r_{2} around Earth. (i) If r2=1.60 r1r_{2}=1.60\,r_{1}, by what factor does the satellite’s orbital period change? Express the factor correct to three significant figures. (ii) In a separate operation, the satellite’s period is required to become four times its original value. Calculate the percentage increase in orbital radius necessary to achieve this change.

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