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A planet of mass m orbits a star of mass M in an elliptical orbit with...

A planet of mass m orbits a star of mass M in an elliptical orbit with semi major axis a. The distance of closest approach to the star is a / 4 . Assuming the ratio of the plant's speed at perigee (when a planet is closest to the star) to the planet's speed at apogee (when the planet is furthest away from the star) is
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2a i va m m Up is velocity of planet at peregee and va is velocity of planet at apogee No is closest distance and ra is furth

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