ग्रह साम्यावस्था तापमान कैलकुलेटर
ग्रह का साम्यावस्था तापमान निकालें।
Equilibrium Temperature
254.85 K
Equilibrium Temperature vs Star Temperature
सूत्र
## 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.
हल किया गया उदाहरण
Earth: T_star = 5778 K, R_star = 6.957e8 m, d = 1.496e11 m, A = 0.30.
- 01T_eq = 5778 * sqrt(6.957e8 / (2 * 1.496e11)) * (0.7)^0.25
- 02R / 2d = 6.957e8 / 2.992e11 = 2.325e-3
- 03sqrt(2.325e-3) = 0.04822
- 04(0.7)^0.25 = 0.9147
- 05T_eq = 5778 * 0.04822 * 0.9147 = 254.8 K
अक्सर पूछे जाने वाले प्रश्न
Why is this lower than Earth's actual temperature?
Earth's greenhouse effect traps heat, raising the mean surface temperature by about 33 K above the equilibrium value.
Does rotation rate matter?
For a slowly rotating body (tidally locked), replace the factor of 2 with sqrt(2), giving a higher dayside temperature.
Is this formula used for exoplanet characterisation?
Yes. It gives a first estimate of the thermal environment, which is refined with atmospheric models.