Question

find the value of g due to the earth at satellite. the radius of the satellite is 48700km.​

Answer 1

Answer:

For a satellite of mass m moving with a velocity v in a circular orbit of radius r around the earth of mass M, we have,

r

mv

2

=

r

2

GMm

or v=

r

GM

But v=

T

2πr

.

Thus

T

2πr

=

r

GM

or T∝r

2

3

∴

T

1

T

2

=(

r

1

r

2

)

2

3

2

=6400 km and r

1

=36000 km. For a geostationary satellite T

1

=24 h. Using these values in (1), we have get,

T

2

=24×( 36064)

23

=1.8 hours.