A unknown planet has a moon nearly circular periodic orbit. If distance from cen

Question

A unknown planet has a moon nearly circular periodic orbit. If distance from center of moon to surface is 2.45000x10^6 km and the planets radius is 3775 km with a mass of 6.10x10^22 kg.
How many days does it take for moon to do a full revolution? Gravitational constant is 6.67x10^-11Nm^2/kg^2 A unknown planet has a moon nearly circular periodic orbit. If distance from center of moon to surface is 2.45000x10^6 km and the planets radius is 3775 km with a mass of 6.10x10^22 kg.
How many days does it take for moon to do a full revolution? Gravitational constant is 6.67x10^-11Nm^2/kg^2
How many days does it take for moon to do a full revolution? Gravitational constant is 6.67x10^-11Nm^2/kg^2

Explanation / Answer

Note that

G M / r^2 = 4 pi^2 r / T^2

--> T = sqrt {4 pi^2 r^3 / [G M]}

Thus, as

r = 2.45E6 + 3775 km = 2.4538E9 m

Thus,

T = 3.786E8 s

As 1 day = 86400 s,

T = 4382 days   [ANSWER]

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