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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