Question

A satellite of mass m revolving around the planet
of mass M in a circular orbit with orbital velocity
Vo, then the relation between its time period (T)
and orbital velocity is :-​

Answer 1

Answer:

please mark me as brainliest

Explanation:

We can write the orbital velocity v

o

of the satellite (mass m) in a circular orbit of radius r around the earth (mass M) as,

v

o

=

r

GM

The time period T of this satellite is given as,

T=

v

o

2πr

substituting,

∴T=

r

GM

2πr

∴T=

GM

2π

r

3/2

∴T∝r

3/2

∴T

2

∝r

3