For a planet moving in an elliptical orbit of eccentricity

PHYSICS · Single correct · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

e

, the ratio of its linear speed at perihelion

v_{p}

to that at aphelion

v_{a}

is (a)

\dfrac{1-e}{1+e}

(b)

\sqrt{\dfrac{1+e}{1-e}}

(c)

\dfrac{1+e}{1-e}

(d)

\dfrac{1+e^{2}}{1-e^{2}}