Two-integral distribution functions for axisymmetric stellar systems with separable densities

Details Two-integral distribution functions for axisymmetric stellar systems with separable densities Two-integral distribution functions for axisymmetric stellar systems with separable densities

2008-03-25

arxiv.org/abs/0803.3552v1

Mon.Not.Roy.Astron.Soc.382:1971-1981,2007

Astronomy and Astrophysics

Astrophysics

1 figure

Scientific paper

10.1111/j.1365-2966.2007.12514.x

We show different expressions of distribution functions (DFs) which depend only on the two classical integrals of the energy and the magnitude of the angular momentum with respect to the axis of symmetry for stellar systems with known axisymmetric densities. The density of the system is required to be a product of functions separable in the potential and the radial coordinate, where the functions of the radial coordinate are powers of a sum of a square of the radial coordinate and its unit scale. The even part of the two-integral DF corresponding to this type of density is in turn a sum or an infinite series of products of functions of the energy and of the magnitude of the angular momentum about the axis of symmetry. A similar expression of its odd part can be also obtained under the assumption of the rotation laws. It can be further shown that these expressions are in fact equivalent to those obtained by using Hunter and Qian's contour integral formulae for the system. This method is generally computationally preferable to the contour integral method. Two examples are given to obtain the even and odd parts of their two-integral DFs. One is for the prolate Jaffe model and the other for the prolate Plummer model. It can be also found that the Hunter-Qian contour integral formulae of the two-integral even DF for axisymmetric systems can be recovered by use of the Laplace-Mellin integral transformation originally developed by Dejonghe.

Affiliated with

Also associated with

No associations

Rating

Two-integral distribution functions for axisymmetric stellar systems with separable densities 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 Two-integral distribution functions for axisymmetric stellar systems with separable densities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Two-integral distribution functions for axisymmetric stellar systems with separable densities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-349193