Find mass of mars given period of moon orbit and radius of orbit

  • #1

Homework Statement



Given data: A moon of mars orbits with a period of 459 minutes. The radius of the moon's orbit is 9.4x10^6 m. What is the mass of mars?



Homework Equations





The Attempt at a Solution



The only relevant equation I could find was Fmars on moon= (G*m1*m2)/(r2)

I have the radius, but to solve I would need the mass of the moon and the gravitational force. Could I use F=mv2/r ? Or how about v= [tex]\sqrt{}GM/r[/tex] ?
 

Answers and Replies

  • #2
Alright, I actually figured it out myself.

v= [tex]\sqrt{}Gm/r[/tex] and v=[tex]\omega[/tex]*r

so the mass of mars is 6.5*10^23 kg!
 

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