Temperature of an astroid between planets

[nwag93]

Homework Statement

What would be the temperature of a spherical asteroid located between Mars and jupiter, twice as far from the Sun as Earth? The asteroid has no atmosphere, and its albedo is 0.15

Homework Equations

the solar constant at venus is a factor of (150/108)^2 larger than at earth

The Attempt at a Solution

T = [ Lsun (1-a) / 16 σ π ]^1/4 * 1 / √d

T = 279 * (1 - 0.15)^1/4 * 1 / √2
im not sure if i am on the right track

 

[mfb]

I don't see the relevance of the solar constant at venus.

What is the solar constant at the distance of the asteroid?

Where does the 279 come from in your last equation?

 

[nwag93]

the solar constant at venus was given as a hint to the question. the solar constant at the distance of the asteroid is what I am trying to figure out first