What is the Orbital Period of an Asteroid with a Temperature of 200 K?

[rodrigues]

Homework Statement

Hi everyone,

was hoping someone could help me to answer a question:

an ateroid has an equilibrium temperature measured as 200 K. What is the object's orbital period around the Sun?


That is the exact wording of that particular question and that's why I am a little stumped.. it also says to base it upon your considerations in question #4, which reads

assuming the Earth's radius is 637 km, the solar constant is 1370 w/m2, and our planetary albedo is 0.31, then:
(a) determine total power entering Earth's atmosphere
(b) the total power that would be asborbed in the absence of an atmosphere
© surface temperature assuming it radiated into space all the energy it absorbed

Homework Equations

The Attempt at a Solution

 

[quasar987]

I guess you have to just find a relationship btw the variables caracterising the asteroid knowing it is in circular orbit of radius R and that the asteroid is a ball of radius r, mass m and its temperature is 200K.