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## Homework Statement

What should 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 .15.

## Homework Equations

## The Attempt at a Solution

The asteroid is twice as far from the Sun as Earth, so it receives ¼ the solar energy. Thus

T = [341 W/m2 (1 – 0.15)/(4 5.67e-8 W/(m2 K4))]1/4 = 189 K

I know this is right because my professor did this as a solution but I am confused as how this was reached.