What is the mass of a planet (in kg and in percent of the mass of the sun), if:
its period is 3.09 days,
the radius of the circular orbit is 6.43E9 m,
and the orbital velocity is 151 km/s.
I'm unsure what formulas to use, though these seem relevant.
accel. centripetal = v^2/r
Total Energy = -G*(mass of planet)*(mass of sun)/2*radius
The Attempt at a Solution
I thought I should use Force of gravity = mass of the planet times the centripetal acceleration, but the mass of the planet cancels out. I can't ID the right relationship between the period, radius and mass, so I'm not sure what to do.
Thanks for any help.