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Q. 26

Out of aphelion and perihelion, where is the speed of the earth more and why?

Class 11th Physics - Exemplar 8. Gravitation

Answer :

Aphelion is the positon of earth from where it has the greatest distance from the sun and perihelion is the position from where it has the shortest distance. Now since the angular momentum of earth about the sun is conserved then we have:

Where m is the mass of the earth, r_ap is the earth - sun distance at the aphelion and r_pe is the earth - sun distance at the perihelion.

Since r_ap > r_pe, v_pe > v_ap, therefore the velocity at the perihelion is greater than the velocity at the aphelion.

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