1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Gravity and mass with Jupiter's moons

  1. Feb 13, 2013 #1
    1. The problem statement, all variables and given/known data

    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


    2. Relevant equations

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

    3. 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?
     
  2. jcsd
  3. Feb 13, 2013 #2

    tms

    User Avatar

    Try using Kepler's laws.
     
  4. Feb 14, 2013 #3
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook