Particle distribution as a function of radius in astrophysics

[MMS]

Hello everyone,

I am working on a project in astrophysics in which I need to include now some type of particle distribution (as a function of the radius).
I was wondering if there is some accepted function that would describe the number of particles per radius in astrophysics. Saturn's rings would make a perfect example for what I'm trying to do. So say for Saturn's rings, is there anything known about the distribution or the density of particles (as a function of the radius) in it?

Thanks in advance.

 

[mathman]

You need to describe the case you are looking at. Radius of what?

 

[MMS]

You need to describe the case you are looking at. Radius of what?

Hello and thanks for the reply.

The radius I'm talking about is the distance from the central object.

I want to know if there exists some general type of model or function which describes the number of particles orbiting a central body as a function of how far they are from it. For example, say we have a central body and we have particles orbiting it, then at a distance of r1 from it there are A particles, at a distance r2 there are B particles (A and B are the number of particles) and so on. That's why I took Saturn's rings as an example.

I hope I was clearer now.

 

[Vanadium 50]

I want to know if there exists some general type of model or function which describes the number of particles orbiting a central body as a function of how far they are from it

There is not.