Two satellites, a and b are in different circular orbits
aboutthe earth. the orbital speed of satellite a is twice that
ofsatellite b. find theratio (ta/tb) of the
periods ofthe satellites.

The ratio of the orbital time periods of A and B is

Solution:

As per the question:

The orbit of the two satellites is circular

Also,

Orbital speed of A is 2 times the orbital speed of B

       (1)

Now, we know that the orbital speed of a satellite for circular orbits is given by:

where

R = Radius of the orbit

Now,

For satellite A:

Using eqn (1):

          (2)

For satellite B:

             (3)

Now, comparing eqn (2) and eqn (3):

i think the answer is a, hope this is right, that would be my best guess.