Deriving the enclosed Mass

  • #1

Homework Statement


A popular model for the mass distribution in a spheroid (such as a bulge) is the
Hernquist model, with density

ρ(r) = M(total)*a / 2πr(a+r)^3


M(total) is the total mass. a is constant with dimensions of length. Derive the enclosed mass
M(r)

The Attempt at a Solution


I am completely unsure on how to go about doing this? Any help is appreciated!
 
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  • #2
How are generally mass density and mass related ? (Hint: integral).
 

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