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## Homework Statement

A planet revolves around the sun in an elliptical orbit of eccentricity [tex]\ e [/tex] and time period [tex]\ T [/tex].The time taken by the planet between the end of the minor axis and at perihelion should be:

(a) [tex]\ T(\frac{e}{2\pi}-\frac{1}{2}) [/tex]

(b) [tex]\ T(\frac{1}{4}-\frac{e}{2\pi}) [/tex]

(c) [tex]\ T(\frac{e}{2\pi}) [/tex]

(d) [tex]\ T(\frac{2\pi}{e}) [/tex]

## Homework Equations

## The Attempt at a Solution

Since [tex]\ 0<e<1 [/tex], we must have (a) and (d) eliminated.

The anser is likely (b) as it correctly predicts that it should take time less than one fourth of T...But,I am not sure...

Any better reasoning???and what should be the answer?