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Finding Jupiters Mass with one of its Moons

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  1. Apr 2, 2016 #1
    1. The problem statement, all variables and given/known data
    One of Jupiters Moons runs on a circle with the radius r1= 420000km in T1=1,77d. How big is Jupiters Mass? Can you calculate the Mass of the Moon with this as well?
    γ = 6,672*10-11m3*kg-1*s-2 (gravitational constant)

    2. Relevant equations
    I used following equation: T2=4*Π2*r3/γ*M


    3. The attempt at a solution
    I solved the equation above to


    M = 4*Π2*r3/T2

    Inserted the data and I get 1,399281324x1028 as a Result, which is wrong. What have I done wrong?



    I needed to translate the question to english, so if anything is bad explained I will try to explain it so good as I can.
     
  2. jcsd
  3. Apr 2, 2016 #2

    SteamKing

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    Staff Emeritus
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    Homework Helper

    Did you use consistent (and correct) units? Remember, G (γ) uses seconds, meters, and kilograms.

    Did you check your arithmetic? Sometimes, numbers don't get squared or cubed like they should.
     
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