Relationship between mass and surface temperature of a star

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SUMMARY

The relationship between mass and surface temperature of stars, particularly blue super giants, is explored in this discussion. The formula T = T(sol) * M^0.5, where M is in solar masses, suggests a method to estimate the surface temperature. For a blue super giant of 24 solar masses, this calculation yields approximately 28,306 K, which falls outside the typical range for O-class stars (30,000 K - 52,000 K). Factors such as spectral class, luminosity, age, and metal content are crucial in accurately determining a star's temperature, indicating that mass alone may not suffice for non-main sequence stars.

PREREQUISITES
  • Understanding of stellar classification (O B A F G K M)
  • Familiarity with the concept of luminosity and its relation to temperature
  • Basic knowledge of stellar evolution and non-main sequence stars
  • Mathematical skills for applying the formula T = T(sol) * M^0.5
NEXT STEPS
  • Research the spectral classification of stars and their temperature ranges
  • Study the effects of age and metal content on stellar temperature
  • Explore the relationship between luminosity and temperature in stars
  • Investigate the characteristics of non-main sequence stars and their temperature determination
USEFUL FOR

Astronomers, astrophysics students, and anyone interested in stellar properties and the factors influencing the temperature of massive stars.

jewfro420
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i was wondering if there is a relationship between mass and temperature that would allow me to calculate the surface temperature of a blue super giant of 24 solar masses?

or do i simply need more information to do this
 
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I think you would need to know things like age of the star, makeup of the star, and similar stuff.
 
jewfro420 said:
i was wondering if there is a relationship between mass and temperature that would allow me to calculate the surface temperature of a blue super giant of 24 solar masses?

or do i simply need more information to do this

It's roughly T = T(sol)*M0.5 with M in solar masses.
 
qraal said:
It's roughly T = T(sol)*M0.5 with M in solar masses.
By using T = 5,778 * 24^0.5
I get 28,306 K, which is slightly outside the 30,000 K - 52,000 K range for O class stars.
So either I didn't use it right, or it doesn't work for O class stars.

Probably what will be an important factor in determining surface temp is the spectral class (O B A F G K M), and luminosity.
 
24 solar masses is enormous. This is more than Rigel; it's looking like something like Alnitak. Which, by the way, is around 30K. Getting within 10% with a hand-wavy formula is pretty good.
 
Am I incorrect in thinking that age, metal content, and other various factors would affect the stars temp as well?
 
so basically i think that there is no relationship between mass and temperature for non main sequence stars so this can't be done. cheers for your help anyways
 
jewfro420 said:
so basically i think that there is no relationship between mass and temperature for non main sequence stars so this can't be done. cheers for your help anyways
There might be a correlation between brightness/magnitude/luminosity and temperature, but that's just my guess.
 

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