# general physics

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COMPLETELY STUCK? The period of rotation of the Moon is about 27 days, 8 hrs. The mass of the Moon is 7.35 x 1022 kg, and the radius of the Moon is 1.74 x 106 m. I wish to place a synchronous (period of orbit = period of the Moon’s rotation) satellite in orbit about the Moon.

a) Find the radius of the satellite’s orbit.

b) Find the height of the satellite above the Moon’s surface

• general physics -

a) the gravitational constant
G =6.67•10⁻¹¹ N•m²/kg²,
r=1.74•10⁶ m
M=7.35•10²² kg

ma=F
F =G•m•M/R²
ma=mv²/R
G•m•M/R² =mv²/R
v=sqrt(GM/R)
T=2πR/v = 2π•sqrt{R³/GM}
T²= 4π²•R³/GM
Solve for R.
b) h=R-r = …

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