- #1

## Homework Statement

The distance between the Sun and the Earth varies during the year: it is a minimum in January, and about 3.3% larger at its maximum in July. What is the corresponding change in the Earth's effective temperature?

## Homework Equations

Energy absorbed: $$ E_{abs} = \pi R^2 (1- \alpha) F_0 $$

energy emitted: $$ E_{emit} = 4 \pi R^2 \sigma (T_E)^4 $$

## The Attempt at a Solution

I tried finding the effective temperature equation:

The effective temperature equation:

$$ T_E^4 = \frac{(1 - \alpha) F_0}{4 \sigma} $$

but I am stuck on how to account for the changing distances between the sun and the earth.

Please help, thank you!