Dark Matter: Info and Math Equations

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Dark matter is primarily influenced by gravity, with limited known properties. For mathematical equations related to dark matter, the derivation of galaxy rotation curves based on density profiles is essential, and graphical representations comparing Baryons and Dark Matter are recommended for clarity. Resources like Wikipedia provide useful graphs and information on rotation curves. Additionally, calculations using principles similar to Kepler's laws can estimate the amount of dark matter that can exist in the solar system without affecting planetary orbits. This foundational understanding will aid in the project on dark matter.
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I'm doing a project on dark matter and I've found some good information but I still haven't found any related mathematical equations.. are there any not to complicated ones i can relate to it??
 
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What sort of equations are you looking for? Dark matter is subject to gravity, but nothing else is really known about it.
 
The most relevant equations would be the derivation of the rotation curve for a galaxy of a given density profile, but the graphical representation of these curves for Baryons only and Baryons + Dark Matter might be a more accessible and equally informative for you. There is a graph and some info on the http://en.wikipedia.org/wiki/Rotation_curves" site, but I'm sure a quick Google search would pull up a fair bit of info as well, once you read this and know what you are looking for.

Good luck with your project :smile:
 
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Using math not terribly more complex than Keplers laws you can calculate how much uniformly distributed, unseen [dark] matter can exist within the confines of our solar system without messing up planetary orbits [Hints: [1] virial theorem; [2] its less than the mass of Jupiter].
 

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