Finding Jupiters Mass with one of its Moons

[wiegetz]

Homework Statement

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)

Homework Equations

I used following equation: T²=4*Π²*r³/γ*M

The Attempt at a Solution

I solved the equation above to [/B]

M = 4*Π²*r³/T²*γ

Inserted the data and I get 1,399281324_x10²⁸ 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.

 

[SteamKing]

Homework Statement

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)

Homework Equations

I used following equation: T²=4*Π²*r³/γ*M

The Attempt at a Solution

I solved the equation above to [/B]

M = 4*Π²*r³/T²*γ

Inserted the data and I get 1,399281324_x10²⁸ 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.

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.