The ratio of the orbit radius of two satellites in uniform circular motion is 1:2 Please tell me the answer and the process of solving the problem! Thank you!

Let: R1: R2 = 1:2, R2 = 2r1
Artificial earth satellite operation is to overcome the earth's gravity, that is, centrifugal force equals gravity
((V1)^2)/R1 = GMm/(R1)^2
((V2)^2)/R2 = GMm/(R2)^2
The solution is: ((V1) ^ 2) R1 = ((V2) ^ 2) R2
(V1)^2 : (V2)^2 = R2 : R1
V1 : V2 = √2 : 1
ω1R1 : ω2R2 = √2 : 1
ω1 : ω2 = (2^(3/2)) : 1

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