Can Luminosity Give You a Star's Age?

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The discussion centers on the relationship between a star's luminosity and its age, particularly when comparing two yellow stars of the same mass but differing luminosities. It is noted that while a star's luminosity does increase with age, this change is minimal until the star leaves the main sequence, making luminosity an unreliable age indicator. The mass-luminosity relationship is emphasized, indicating that more massive stars exhibit different spectral characteristics, which can help differentiate between an older modest-sized star and a younger larger star with similar luminosity. The consensus is that the luminosity increase over a star's lifetime is not significant enough to accurately estimate age. Overall, determining a star's age based solely on luminosity is deemed ineffective.
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You find two yellow stars at the same distance (but not in a binary system!). They have the same mass, but one is much more luminous than the other.
Which one is older?
 
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http://en.wikipedia.org/wiki/Stellar_age_estimation:
"As stars grow older, their luminosity increases at an appreciable rate"

So I would assume the more luminous one.
 
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Thanks for your input howabout1337! That's what I was thinking, just wanted some confirmation
 
I don't get it. How would you tell an old modest-sized star from a large younger star, both of which have the same luminosity?
 
The luminosity of a star is strongly dependent on mass, which is known as the mass-luminosity relationship. While the luminosity of a star does increase somewhat with age, the difference is small until it leaves the main sequence. It would be a wildly unreliable way to determine the age of a star.
 
phinds said:
I don't get it. How would you tell an old modest-sized star from a large younger star, both of which have the same luminosity?

The more massive one has a different spectrum. It will be hotter, even if their luminosity is the same.
 
Chronos said:
The luminosity of a star is strongly dependent on mass, which is known as the mass-luminosity relationship. While the luminosity of a star does increase somewhat with age, the difference is small until it leaves the main sequence. It would be a wildly unreliable way to determine the age of a star.

Do you know if this graph is accurate? This seems to be a pretty big change.
From here: http://en.wikipedia.org/wiki/Sun#Main_sequence

544px-Solar_evolution_%28English%29.svg.png
 
It's at least approximately right. When I studied these things, the sun went off the main sequence a little sooner and more quickly (9.1 BY), but there's a factor of ~2 or so luminosity increase over the course of the main sequence.
 
When the sun first entered the main sequence, it was about 70% of its current luminosity. Over the next 4.5 billion years, it's luminosity is expected to increase by about 67%. I do not consider that enough of a luminosity difference to be useful to estimate the age of a star.
 
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