Satellite of mass revolves around Earth in a circular orbit of radius with time period

PHYSICS · Subjective · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

Satellite

S_1

of mass

m

revolves around Earth in a circular orbit of radius

r

with time period

T

. Another satellite

S_2

of mass

4m

moves in a circular orbit of radius

2r

with a time period

\dfrac{T}{2}

. Determine the ratio of the centripetal forces

\dfrac{F_{c,2}}{F_{c,1}}

acting on

S_2

and

S_1