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# Physics-the Martian moon travels in a circular orbit of radius 9.4x10^6 m around Mars with a period of 7.6 hours Calculate the mass of mars?

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- billrussell42Lv 71 month ago
T = 2π√[R³/GM]

7.6 hr x 3600 s/hr = 2π√[(9.4e6)³/6.673e-11•M]

√[(9.4e6)³/6.673e-11•M] = 4354.479

(9.4e6)³/6.673e-11•M = 1.896149e7

M = (9.4e6)³ / 1.896149e7 • 6.673e-11

= 6.56e23 kg

published value: 6.42e23 kg

Satellite motion, circular

V = √(GM/R)

V = √(gR)

T = 2π√[R³/GM]

T is period of satellite in sec

V = velocity in m/s

G = 6.673e-11 Nm²/kg²

M is mass of central body in kg

R is radius of orbit in m

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