A planet revolves round the Sun with semi-major axis and eccentricity

PHYSICS · Multi-part · CBSE · Physics · Gravitation · Gravitation

Problem

A planet revolves round the Sun with semi-major axis a=1.5×1011 ma = 1.5\times10^{11}\,\text{m} and eccentricity e=0.2e = 0.2. Its speed at aphelion is observed to be 20 km s−120\,\text{km}\,\text{s}^{-1}. (i) Calculate its distance from the Sun at perihelion and at aphelion. (ii) Determine its speed at perihelion.

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