Gravity and mass with Jupiter's moons

[Surgikill117]

Homework Statement

Table 5-2 gives the mean distance, period, and mass for the four largest moons of Jupiter (Those discovered by Galileo in 1609). A) Determine the mass of Jupiter using the data for Io B) Determine the mass of Jupiter using data for each of the other three moons. Are the results consistent?


Table
Moon Mass(kg) Period (Earth Days) Mean distance from Jupiter in km
Io 8.9*10^22 1.77 422*10^3
Europa 4.9 3.55 671
Ganymede 15 7.16 1070
Callisto 11 16.7 1883

Homework Equations

g1=G((m1m2)/r^2)
m1=(r^2*g1)/(Gm2)

The Attempt at a Solution

I don't know how to find g1 with the given information. Do I eliminate m2 in order to find g1? I also have no idea what the purpose of the period is, is it just there to confuse us?

 

[tms]

Try using Kepler's laws.

 

[jfgobin]

Or use the relations from the Uniform Circular Motion.