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

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SUMMARY

The discussion focuses on calculating the average temperature of a planet in a circular orbit at 0.4 AU from a star with a luminosity of 2/3 that of the Sun, while reflecting 30% of incident light (albedo). The relevant equations used include F = L/4πD² for flux and F = σT^4 for temperature, where σ is the Stefan-Boltzmann constant. The contributors emphasize the importance of defining variables and considering the lack of atmosphere, which significantly impacts temperature calculations.

PREREQUISITES
  • Understanding of basic astrophysics concepts, including orbital mechanics.
  • Familiarity with the Stefan-Boltzmann Law and its application in thermal radiation.
  • Knowledge of albedo and its effect on planetary temperature.
  • Ability to perform calculations involving luminosity and distance in astronomical contexts.
NEXT STEPS
  • Research the impact of albedo on planetary temperature calculations.
  • Learn about the Stefan-Boltzmann Law and its applications in astrophysics.
  • Explore the effects of atmospheric conditions on planetary temperature.
  • Investigate the luminosity of different stars and their influence on surrounding planets.
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Astronomy students, astrophysicists, and educators involved in planetary science and thermal dynamics will benefit from this discussion.

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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