Two satellites 1 and 2 orbiting with the time periods T1 and T2, respectively, lie on the same line as shown in Fig. After what minimum time, again the satellites will remain on the same line? Assume that the two satellites should lie in same side of the centre of their concentric circular paths.
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Updated on : 2022-09-05
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Let the satellites 1 and 2 described angle θ1 and θ2 at the center of earth during a time t respectively .Suppose 2 is ahead of 1 by an angle θ hence we can write
They will be again lie on same line after a minimum time T say.for this θ=2π.This gives θ2−θ1=2πDividing T in both sides we have T′θ2−T′θ1=T′2π