Question

The time period of an artificial satellite in a circular orbit of radius R is 2 days
and its orbital velocity is Vo. If time period of another satellite in a circular orbit
is 16 days then:​

Answer 1

Explanation:

According to the Kepler's third law T

2

∝R

3

∴

T

2

T

1

=(

R

2

R

1

3/2

)

or R

2

=(R

1

)(

T

1

T

2

)

3/2

=(R

1

)(

2

16

)

2/3

=4R

1

=4R (given R

1

=R) ....(i)

Orbital velocity, v

o

=

R

GM

∴

v

o1

v

o2

=

R

2

R

1

=

4R

1

R

1

=

2

1

....(using (i))

or v

o2

=

2

1

v

o1

=

2

1

v

o