Calculating Mass of the Moon with Apollo 11 Data

[leyyee]

Homework Statement

Before landing men on the moon, Apollo 11 space vehicle was put into orbit about the moon. The mass of the vehicle was 9979kg and the period of the orbit was 119 min. The maximum and minimum distances from the center of the moon were 1861 km and 1838km . Assuming the moon to be a uniform spherical body, what is the mass of the moon according to these data?

Homework Equations

GMm/R^2
elliptic equation?

The Attempt at a Solution

I tried using the kepler's law and Gravitational equation.. It seems I can't get the mass of the moon. Anyone can help me through?

thankx

 

[Kurdt]

Period, distance and mass will suggest Newton's version of Keplers's third law. You will have to work out what the semi major axis is though.

 

[leyyee]

is the semi major axis the radius for the r^3 in the kepler's thrid law? I use the (1861+1838)/2 is correct that this is the value for r? 1849.5?

thank for replying..

 

[Kurdt]

Yes Kepler's 3rd is based on the semi major axis. You have correctly worked it out.

 

[leyyee]

thanks then I think I got of correct d.. Thanks..