Consider a galaxy with a density profile of the type Ро p(r) = (r/ro)[(1+r/ro)²] ' where po is the central density. 1. In a sentence describe what ro represents. 2. Find the mass profile M(r) for such a galaxy. 3. Find the circular velocity profile (r) for such a galaxy.

Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter44: Particle Physics And Cosmology
Section: Chapter Questions
Problem 30P
Question
Consider a galaxy with a density profile of the type
Ро
p(r)
=
(r/ro)[(1+r/ro)²] '
where po is the central density.
1. In a sentence describe what ro represents.
2. Find the mass profile M(r) for such a galaxy.
3. Find the circular velocity profile (r) for such a galaxy.
Transcribed Image Text:Consider a galaxy with a density profile of the type Ро p(r) = (r/ro)[(1+r/ro)²] ' where po is the central density. 1. In a sentence describe what ro represents. 2. Find the mass profile M(r) for such a galaxy. 3. Find the circular velocity profile (r) for such a galaxy.
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