Calculate Average Temperature of Planet in 0.4 AU Orbit: Albedo 30%

AI Thread Summary
To calculate the average temperature of a planet in a 0.4 AU orbit with a 30% albedo, the relevant equations include F = L/4πD² and F = σT^4. The albedo affects the temperature by reflecting a portion of the incident light, which must be accounted for in the calculations. Additional assumptions about the planet's rotation speed and atmospheric conditions are necessary for accurate temperature estimates, especially since the planet lacks an atmosphere. The luminosity of the star is also crucial, with the given value being 2/3 that of the Sun. Properly defining variables and considering these factors will lead to a more precise calculation of the planet's average temperature.
quasarLie
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Homework Statement


We consider a planet in a circular orbit around a star.
I have to calculate the average temperature knowing that the radius of the orbit is 0.4 AU and that the planet reflects 30% of the incident light

Homework Equations

The Attempt at a Solution


I used this equation
F = L/4 \pi D²
And
F = \sigma T^4
So i can have T, but i don't know how to use the albedo
Thanks
 
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Did you do a web search on "albedo and planet temperature"?
 
quasarLie said:
F=L/4πD²
Please define your variables.
quasarLie said:
how to use the albedo
What is the contribution of the reflected light to the temperature?
Edit:
quasarLie said:
consider a planet in a circular orbit around a star... calculate the average temperature
It ought to say a bit more... like, assume the planet rotates on its axis sufficiently fast and has sufficient atmosphere (but no greenhouse gases) that the temperature can be assumed roughly equal over the whole surface. Otherwise the answer can be substantially different.
 
Last edited:
The temperature or output of the star is also missing.

Temperatures of stars in Kelvin:
3000 Proxima Centauri
5800 Sun
9900 Sirius
22000 Bellatrix​
 
haruspex said:
Please define your variables.

What is the contribution of the reflected light to the temperature?
Edit:

It ought to say a bit more... like, assume the planet rotates on its axis sufficiently fast and has sufficient atmosphere (but no greenhouse gases) that the temperature can be assumed roughly equal over the whole surface. Otherwise the answer can be substantially different.
The planet don't have an atmosphere and it's luminosity is 2/3L (sun). I don't have more information
 
quasarLie said:
The planet don't have an atmosphere
if you are told that then you should have included it in the problem statement.
Please try to answer my other two comments.
 
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