How to Calculate Rotation Curves for a Spiral Galaxy?

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To calculate rotation curves for a spiral galaxy, the user seeks guidance on converting a brightness profile (in mag/arcsec²) into surface mass density. They have identified the need for total mass to derive the rotation curve but are unsure how to convert luminosity profile data into mass distribution. The discussion highlights the importance of assuming a mass-to-light ratio for this conversion. The user is looking for references or materials that provide solved exercises on this topic. Assistance with these calculations and methodologies is requested.
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I hope this is in the right forum.
I'm trying to see how to calculate rotation curves for a spiral galaxy.
The data I have is brightness profile (mag/arcsec^2) and observed rotation curve - to see how it fits.
from what I found I need the total mass, and for that I need the surface mass density.
I couldn't find how to convert the brightness profile to mass density.
I can probably let MATLAB integrate the spline of the brightness profile, but that's not the mass density, so it wouldn't give me the mass I need.

Would appreciate help.
References to books (preferably with solved exercises) or other material are very welcome.

zaq
 
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no, but thanks for trying.
I think I need to clarify what I'm asking.
The steps I found for calculating an RC are:
get the intensity profile
use that to find the mass distribution
use mass distribution to find g
calculate rotation curve.

I have the luminosity profile. (\mu). The units are mag/pc^2.
I need to convert it to mass distribution \SIGMA r (M/ pc^2).
how do I do that? I know I'm suppose to assume mass to light ratio but how exactly?
 
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