Comets X and Y have the same semi-major axis about the Sun

PHYSICS · Single correct · CBSE · Physics · Gravitation · Gravitation

Problem

Comets X and Y have the same semi-major axis about the Sun, but X has orbital eccentricity 0.2 while Y has eccentricity 0.8. Which statement compares their speed variation along the orbit? (a) Neither comet changes its speed; conservation of angular momentum keeps the speed constant along the orbit. (b) Comet X has the larger maximum-to-minimum speed ratio because its orbit is closer to circular (e=0.2e=0.2). (c) Comet Y has the larger maximum-to-minimum speed ratio because its orbit is more elongated (e=0.8e=0.8). (d) The maximum-to-minimum speed ratios of the two comets are equal since their semi-major axes are the same.

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