Two satellites of masses m and 1.5 m are revolving around the earth with different speeds in two circular orbits of heights \(\mathrm{R}_E\) and \(2 \mathrm{R}_E\) respectively, where \(\mathrm{R}_E\) is the radius of the earth. The ratio of the minimum and maximum gravitational forces on the earth due to the two satellites is

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.