User:Hraa11

The result
After canceling of factors, the final result is
 * {|cellpadding="2" style="border:2px solid #ccccff"


 * align="center" | $$T_{Sun}\sqrt{\frac{\sqrt{1-A_{lbedo}}R_{Sun}}{2 D_{istance}}} = T_{Planet} $$
 * where
 * $$T_S \,$$ is the surface temperature of the Sun,
 * $$R_S \,$$ is the radius of the Sun,
 * $$D \,$$ is the distance between the Sun and the Earth,
 * $$\alpha$$ is the albedo of the Earth, and
 * $$T_E \,$$ is the blackbody temperature of the Earth.
 * }
 * $$D \,$$ is the distance between the Sun and the Earth,
 * $$\alpha$$ is the albedo of the Earth, and
 * $$T_E \,$$ is the blackbody temperature of the Earth.
 * }
 * $$T_E \,$$ is the blackbody temperature of the Earth.
 * }

In other words, given the assumptions made, the temperature of Earth depends only on the surface temperature of the Sun, the radius of the Sun, the distance between Earth and the Sun and the albedo of Earth.