- #1

AdityaDev

- 527

- 33

## Homework Statement

Find the surface temperature of a small planet having circular orbit around the sun with time period T,assuming sun and planet to be black bodies. Take radius of sun = R, its mass = M and its surface temperature as ##\theta_0##.

## Homework Equations

##P=eA\sigma T^4##

Total energy of planet is ##\frac{GMm}{2R}##

##I=\frac{P}{4\pi d^2}##

## The Attempt at a Solution

Power emitted by sun is ##P=eA\sigma\theta^4_0##.

The energy of planet is the sum of its kinetic and potential enegies (E) + the energy received from sun.

From these relations, I am not able to find the planet's surface temperature.

Since the planet is also a black body, the energy absorbed by planet = the energy imcident on the planet. I can find the energy it received during one complete revolution.

But I am not able to get any usefull relation.