Estimate the number of stars with present-day luminosity function

AI Thread Summary
To estimate the number of stars in a 500 pc³ volume with luminosities between 10^-2 and 0.1 Lsun, one can reference recent surveys like Bochanski's, which reports 15.37 million stars in a larger volume. The luminosity function can help in extrapolating the number of stars within the specified luminosity range. While a specific formula for this calculation is not provided, understanding the density of stars in the relevant luminosity range is crucial. The discussion emphasizes the need for accessible mathematical approaches to estimate star counts. Overall, the conversation highlights the challenge of estimating stellar populations in defined luminosity brackets.
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Folks,

Please don't flame me for this as it is probably already answered somewhere.
How does one estimate the number of stars in a 500pc^3 which have a range of 10^-2 to 0.1 Lsun?

I am not a maths head, so simple answer that would have the formula would be great.

Thanks
 
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This survey of low mass stars by Bochanski is among the more recent ones - http://arxiv.org/abs/1004.4002. Bochanski reports 15.37 million stars in a volume of 4x4x4 kpc^3 in the range of 0.1 - 0.8 Msolar. That corresponds to a luminosity range of about .003 Lsolar to .458 Lsolar. I'm not aware of any formula for calculating these numbers.
 

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