Question

if two satellites are revolving around any planet, radius of orbit of satellite 1 is radius= a and satellite 2 is radius = 81 a then find out relation in time period?​

Answer 1

Explanation:

We know the expressions for kinetic energy and potential energy os a satellite in orbit are,

KE=

2

1

m(

R

GM

)

2

=

2R

GMm

,

PE=−

R

GMm

.

From these expressions, although magnitude of potential energy of A will be higher, but due to negative sign, potential energy of B will be higher than that of A.

Angular momentum is given by L=mvR=m

R

GM

R=m

GMR

. HEnce angular momentum of

A relative to earth will be lesser than that of B as R

A

<R

B

.