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The period of oscillation of a near-earth satellite

The period of oscillation of a near-Earth satellite (neglecting atmospheric effects) is 84.3 min. What is the period of a near Moon satellite?

(Re = 6.37 x 10^6 m; Rm = 1.73 x 10^6m ; Me = 5.98 x 10^24 kg; Mm = 7.36 x 10^22 kg)

A. 6.03 x 10^-3 min

B. 0.713 min

C. 84.3 min

D. 108 min

E. 140 min

The answer is D. Please show work

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