Planet A revolves around the Sun in a nearly circular orbit of mean radius

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

Problem

Planet A revolves around the Sun in a nearly circular orbit of mean radius rAr_A. Planet B revolves in a circular orbit of mean radius rB=4rAr_B = 4r_A. (i) Write the relation connecting the orbital periods TAT_A and TBT_B with their respective orbital radii. (ii) Find the ratio TBTA\dfrac{T_B}{T_A}. (iii) If Planet A completes one revolution in 88 days88\,\text{days}, calculate the orbital period of Planet B in Earth days.

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