Density of dark matter in milky way

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SUMMARY

The average density of dark matter in the Milky Way is described by the formula ρ0 = 4.5 × 10−2(r0/kpc) − (2/3)2x10^30kg pc−3. In this equation, "r0" represents a radial distance in kiloparsecs (kpc) from the center of the galaxy. Current research indicates that dark matter density is not uniform and may increase around gravitational bodies such as the Sun and Earth, although specific formulas for these localized densities are still under investigation.

PREREQUISITES
  • Understanding of astrophysical concepts, particularly dark matter.
  • Familiarity with gravitational physics and its effects on matter distribution.
  • Basic knowledge of units of measurement in astrophysics, such as kiloparsecs (kpc).
  • Proficiency in interpreting scientific equations and formulas.
NEXT STEPS
  • Research the implications of dark matter density variations around celestial bodies.
  • Study the gravitational effects of dark matter on galaxy formation and structure.
  • Learn about the methods used to measure dark matter density in galaxies.
  • Explore advanced astrophysical models that incorporate dark matter distribution.
USEFUL FOR

Astronomers, astrophysicists, and students studying cosmology or gravitational physics will benefit from this discussion, particularly those interested in the properties and effects of dark matter in the Milky Way.

diagopod
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Does anyone happen to know the average density of dark matter per unit volume in the milky way? I've seen at least one formula, but I'm not sure I fully comprehend it. Here is the equation I found:

ρ0 = 4.5 × 10−2(r0/kpc) − (2/3)2x10^30kg pc−3

The only part of this equation that I can't quite follow is the term "r0." I imagine that must be some unit of mass to make the units work out, but not sure what unit of mass it would be. Anyone happen to know?

Also, since dark matter density isn't uniform, do researchers know yet whether it increases around relatively small gravitational bodies, such as the sun, earth, the local group, etc? If so, is there a rough formula for the density of dark matter surrounding a gravitational body or cluster of bodies of a given mass?
 
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If evenly dispersed, as suggested by observation, dark matter is diffuse within our galaxy.
 

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