Answer:
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):

Explanation:
Given that,
Electrostatic force, 
Distance, 
(a)
, q is the charge on the ion


(b) Let n is the number of electrons are missing from each ion. It can be calculated as :


n = 2
Hence, this is the required solution.