Question

A satellite of mass m orbits a planet of mass m in a circular orbit of radius bR. The time required for one revolution is

Answer 1

Answer:

ANSWER

Given satelite mass =m

Radius =R

Planet mass =M

circular orbit radius =r

velocity of (v) of satelite v=  

r

GM

​  

 

​  

 

KE=  

2

1

​  

mv  

2

=  

2

1

​  

m(  

r

GM

​  

)

PE=  

2r

−GMm

​  

 

E=KE+PE=  

2r

−GMm

​  

 

Angular momentum (L)

L=mvr

=m(  

r

GM

​  

 

​  

)r

=m  

GMr

​  

 

∵ direction of L is perpendicular to the plane of the orbit.

Explanation: