Gravitation Part 1

For satellite, gravitational force = centripetal force
∴‌

mv2

R+x

=‌

GmM

(R+x)2

x= height of satellite from earth surface
m= mass of satellite
⇒v2=‌

GM

(R+x)

or v=√‌

GM

R+x

We know, T=‌

2π

ω

T=‌

2π(R+x)

v

[ as ω=‌

v

r

]
=‌

2π(R+x)

√‌ GM R+x

which is independent of mass of satellite