Convert from Magnitude Density to Mass

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SUMMARY

The discussion focuses on converting magnitude density (mag arcsec-2) of M31 into enclosed mass for Velocity Curve analysis. Participants emphasize the importance of understanding the relationship between magnitude density and mass density profiles. They suggest using the mass-to-light ratio and integrating the magnitude density profile over the radius to derive the mass. This conversion is crucial for accurate modeling of galactic dynamics.

PREREQUISITES
  • Understanding of magnitude density and its units (mag arcsec-2)
  • Familiarity with mass-to-light ratio concepts
  • Knowledge of integration techniques in astrophysics
  • Basic principles of galactic dynamics and velocity curves
NEXT STEPS
  • Research the mass-to-light ratio for M31 and its implications
  • Learn about integrating density profiles in astrophysical contexts
  • Study the methods for deriving velocity curves from mass distributions
  • Explore the relationship between light profiles and mass profiles in galaxies
USEFUL FOR

Astronomers, astrophysicists, and students involved in galactic dynamics and mass distribution analysis will benefit from this discussion.

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I have data which gives me the magnitude density (mag arcsec-2) of M31 as a function of radius. How can I convert this data to the (enclosed) mass at a given radius (for Velocity Curve analysis)?
 
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I don't know if it's a coincidence or not, but the magnitude density profile looks an awfully lot like a mass density profile:

M31 Magnatude Profile.png


Is there some very basic relation I'm not seeing or is this just a coincidence?
 
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