A planet of mass m moves around the sun of mass M in elliptical orbit. The maximum and minimum distances of the planet from the sun are 
and 
respectively. The time period of the planet is proportional to:
Text Solution
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In astronomy the point: of closest approach is called the pericenter, and that of
farthest excursion is called apocentre: When a is semimajor axis we have
Periapsis 
.
Apoapsis 
From condition given in question,
Also from Kepler's third law of planetary motion we have, the square of the period of revolution 
of any planet around the sun is directly proportional to the cube of the semimajor axis of its elliptic orbit 
.
i.e., 
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