Calcolatore Temperatura di Equilibrio PlanetarioFormula

## Planet Equilibrium Temperature

This is the temperature at which a planet radiates as much energy as it absorbs from its star.

### Formula

**T_eq = T_star * sqrt(R_star / 2d) * (1 - A)^(1/4)**

- *T_star* = stellar effective temperature
- *R_star* = stellar radius
- *d* = orbital distance
- *A* = bond albedo

The factor of 2 (not 4) appears for a rapidly rotating planet that averages flux over the whole surface.

Esempio Risolto

Earth: T_star = 5778 K, R_star = 6.957e8 m, d = 1.496e11 m, A = 0.30.

  1. T_eq = 5778 * sqrt(6.957e8 / (2 * 1.496e11)) * (0.7)^0.25
  2. R / 2d = 6.957e8 / 2.992e11 = 2.325e-3
  3. sqrt(2.325e-3) = 0.04822
  4. (0.7)^0.25 = 0.9147
  5. T_eq = 5778 * 0.04822 * 0.9147 = 254.8 K