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: http://www.stsci.edu/~marel/abstracts/abs_R24.html
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Our method is applicable to any geometry. In an earlier paper (Rix et al.) we described the basic principles, and implemented them for the simplest case of spherical geometry. Here we focus on the axisymmetric case. We first show how to build galaxy models from individual orbits. This provides a method to build models with fully general DFs, without the need for analytic integrals of motion. We then discuss a set of alternative building blocks, the two-integral and the isotropic components, for which the observable properties can be computed analytically. Models built entirely from the two-integral components yield DFs of the form f(E,L_z), which depend only on the energy E and angular momentum L_z. This provides a new method to construct such models. The smoothness of the two-integral and isotropic components also makes them convenient to use in conjunction with the regular orbits.
We have tested our method extensively, by using it to reconstruct the
properties of a two-integral model built with independent software.
The test model is reproduced satisfactorily, either with the regular
orbits, or with the two-integral components. Applications of our
method to the galaxies M32 and NGC 4342 are described elsewhere (van
der Marel et al., Cretton & van den Bosch).