A planet of mass m moves around the sun of mass M in an elliptical orbit The maximum and - Physics - Gravitation

Question

A planet of mass m moves around the sun of mass M in an elliptical
orbit The maximum and minimum distances of the planet from the sun
are r1 and r2 respectively The time period of
the planet is proportional to:-

a) r1 3 /2
b) r2 3 /2
c) (r1 + r2)3/2
d) (r1 - r2)3/2
Kindly answer sir/mam

Govind · Accepted Answer

According to kepler's law, T2 is directly proportional to cube of semi-major axis of the elliptical orbit
 Now, semi major axis will be r1+r22T2∝r1+r223⇒T∝r1+r232Hence, the correct option is c

A planet of mass m moves around the sun of mass M in an elliptical orbit. The maximum and minimum distances of the planet from the sun are r1 and r2 respectively. The time period of the planet is proportional to:- a) r1 3 /2 b) r2 3 /2 c) (r1 + r2)3/2 d) (r1 - r2)3/2 Kindly answer sir/mam.