Astronomy and Astrophysics – Astrophysics
Scientific paper
1996-11-20
Astronomy and Astrophysics
Astrophysics
14 pages, 7 postscript figures, to appear in Monthly Notices
Scientific paper
The Jeans equations give the second moments or stresses required to support a stellar population against the gravity field. A general solution of the Jeans equations for arbitrary axisymmetric scale-free densities in flattened scale-free potentials is given. A two-parameter subset of the solution for the second moments for the self-consistent density of the power-law models, which have exactly spheroidal equipotentials, is examined in detail. In the spherical limit, the potential of these models reduces to that of the singular power-law spheres. We build the physical three-integral distribution functions that correspond to the flattened stellar components. Next, we attack the problem of finding distribution functions associated with the Jeans solutions in flattened scale-free potentials. The third or partial integral introduced by de Zeeuw, Evans and Schwarzschild for Binney's model is generalised to thin and near-thin orbits moving in arbitrary axisymmetric scale-free potentials. The partial integral is a modification of the total angular momentum. For the self-consistent power-law models, we show how this enables the construction of simple three-integral distribution functions. The connexion between these approximate distribution functions and the Jeans solutions is discussed in some detail.
de Zeeuw Tim P.
Evans Wyn N.
Häfner Ralf M.
No associations
LandOfFree
Simple Three-Integral Scale-Free Galaxy Models does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Simple Three-Integral Scale-Free Galaxy Models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Simple Three-Integral Scale-Free Galaxy Models will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-310265