The Layer Model assumes that the temperature of the body in space is all the same. This is not really very accurate, as

[answerhappygod]

The Layer Model assumes that the temperature of the body in
space is all the same. This is not really very accurate, as you
know that it is colder at the poles than it is at the equator. For
a bare rock with no atmosphere or ocean, like the moon, the
situation is even worse because fluids like air and water are how
heat is carried around on the planet. So let us make the other
extreme assumption that there is no heat transport on a bare rock
like the moon. (a) What is the equilibrium temperature of the
surface of the moon, on the equator when the sun is directly
overhead (i.e., at local noon)? Show your math and point to a
scientifically trustworthy online reference that match your
prediction.