Why do we need "planetary equilibrium temperature"?

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SUMMARY

The discussion centers on the use of planetary equilibrium temperature to assess the habitability of exoplanets. Participants argue that while equilibrium temperature, calculated with an Earth-like albedo, is currently utilized, more accurate methods exist, such as Wien's Displacement Law and spectroscopy. The limitations of existing technology and the challenges posed by low temperatures and atmospheric conditions of exoplanets are highlighted. Ultimately, the consensus suggests that while equilibrium temperature is a starting point, it is insufficient for a comprehensive understanding of exoplanet habitability.

PREREQUISITES
  • Understanding of planetary equilibrium temperature and its calculation methods.
  • Familiarity with Wien's Displacement Law and its application in astrophysics.
  • Knowledge of spectroscopy and its role in analyzing exoplanet atmospheres.
  • Awareness of the criteria for habitability, including atmospheric pressure and planetary mass.
NEXT STEPS
  • Research the application of Wien's Displacement Law in exoplanet temperature estimation.
  • Explore advanced spectroscopy techniques for atmospheric analysis of exoplanets.
  • Study the modified Stefan-Boltzmann Law and its implications for determining habitable zones.
  • Investigate recent findings on exoplanet sizes and their correlation with habitability criteria.
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Astronomers, astrophysicists, and researchers focused on exoplanet studies, particularly those interested in habitability assessments and atmospheric analysis techniques.

GW150914
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I mean, currently it seems that scientists are using equilibrium temperature of exoplanets (calculated assuming an Earth-like albedo) to determine whether a planet is habitable or not. But aren't there other more accurate ways to determine surface temperatures of exoplanets? I learned Wien's displacement law in basic physics, and I know we have the ability to isolate the planet's spectrum from the star's while transiting, then why can't we use it to get more accurate temperature data, or even components of atmosphere of those planets?
 
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I know that the the components of the atmosphere can be determined using spectroscopy, and temperature too. For example, take a look at these papers
http://iopscience.iop.org/article/10.1088/0004-637X/707/1/24/pdf
http://iopscience.iop.org/article/10.1086/527475/meta
http://www.aanda.org/articles/aa/abs/2006/10/aa3861-05/aa3861-05.html
However, the transit is not the only method for detection of detection, though it is the most successful one. The second most productive one is radial velocity which was until 2010 the most successful one, and this does not give any information about the spectra of the exoplanets.
I think that the biggest problem for temperature determination is the low temperature of the exoplanet, some absorption features on certain ranges that modify the blackbody spectra and that the biggest amount of exoplanets detected have been very lately, more or less since 2014
However, I guess that it is promising, but more difficult than simulations. By the way, you may found interesting
http://www.hzgallery.org/
They have a catalog of exoplanets, and some papers concerning temperature estimates
 
I think the answer can be found in this snippet from the abstract of the third paper cited above:
"According to our calculations, the signatures of planetary atmospheres represent an absorption of a few parts-per-million (ppm) in the stellar flux. The atmospheres of a few Earth-like planets can be detected with a 30-40 m telescope."
So it certainly sounds like the technology is not readily available to determine the temperatures of the kinds of planets we are interested in being habitable. So perhaps the problem is a confusion between what we can do to detect temperatures of large planets with heavy atmospheres, which we do not regard as habitable in any event, with earthlike planets.
 
GW150914 said:
I mean, currently it seems that scientists are using equilibrium temperature of exoplanets (calculated assuming an Earth-like albedo) to determine whether a planet is habitable or not. But aren't there other more accurate ways to determine surface temperatures of exoplanets? I learned Wien's displacement law in basic physics, and I know we have the ability to isolate the planet's spectrum from the star's while transiting, then why can't we use it to get more accurate temperature data, or even components of atmosphere of those planets?
They are using more than just "planetary equilibrium temperature" to determine whether a planet is within the habitable zone. Besides Albedo, which you mention, they are also making the assumption that an exoplanet has a suitable atmospheric pressure and the exoplanet is between 0.1 M and 5 M. If the temperature and atmospheric pressure of an exoplanet is not within the triple point of water, then there can be no liquid water on the surface of the exoplanet, and anything larger than 5 M would not be considered rocky. Other studies have suggested anything larger than 1.6 R may not be considered rocky.

A modified version of the Stefan-Boltzmann Law is currently used to determine the habitable zone of a main sequence star, where the luminosity and effective surface temperature of the star are the primary considerations. Although I see no reason why Wien's Displacement Law could not be substituted and still achieve the same result.

Sources:
Habitable Zones Around Main-Sequence Stars: Dependence on Planetary Mass - The Astrophysical Journal Letters, Volume 787, Number 2, May 15, 2014 (free issue)
Most 1.6 Earth-Radius Planets are not Rocky - The Astrophysical Journal, Volume 801, Number 1, March 2, 2015 (free issue)
 
|Glitch| said:
They are using more than just "planetary equilibrium temperature" to determine whether a planet is within the habitable zone. Besides Albedo, which you mention, they are also making the assumption that an exoplanet has a suitable atmospheric pressure and the exoplanet is between 0.1 M and 5 M. If the temperature and atmospheric pressure of an exoplanet is not within the triple point of water, then there can be no liquid water on the surface of the exoplanet, and anything larger than 5 M would not be considered rocky. Other studies have suggested anything larger than 1.6 R may not be considered rocky.

A modified version of the Stefan-Boltzmann Law is currently used to determine the habitable zone of a main sequence star, where the luminosity and effective surface temperature of the star are the primary considerations. Although I see no reason why Wien's Displacement Law could not be substituted and still achieve the same result.

Sources:
Habitable Zones Around Main-Sequence Stars: Dependence on Planetary Mass - The Astrophysical Journal Letters, Volume 787, Number 2, May 15, 2014 (free issue)
Most 1.6 Earth-Radius Planets are not Rocky - The Astrophysical Journal, Volume 801, Number 1, March 2, 2015 (free issue)
Thanks for your responding. My point is, since we have the ability to determine the surface temperature of some exoplanets (discovered through transit or direct imaging methods), I think it's not necessary to use planetary equilibrium temperature to test the habitability of exoplanets. Besides, though the sizes and atm. pressures of those planets are indeed important, if they don't have proper surface temperatures, they are still unhabitable.
 
GW150914 said:
My point is, since we have the ability to determine the surface temperature of some exoplanets (discovered through transit or direct imaging methods), I think it's not necessary to use planetary equilibrium temperature to test the habitability of exoplanets.
I think you will find that we currently do not have the ability to directly determine the surface temperature of any planets we would regard as habitable.
 

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