DDA2001, April2001
Session 2. Very Big Things
Monday, 1:30-3:40pm

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[2.02] Characterizing 3D Stellar Orbits with Correlation Integrals

E.I. Barnes (Louisiana State University)

In an effort to more fully understand the variety of stellar distribution functions that can be used to construct models of realistic galaxies, the correlation integral method of orbit characterization that previously has been introduced by Grassberger & Procaccia (1983) and Carnevali & Santangelo (1984) is examined in considerable detail. The broad utility of the method is validated and demonstrated by applying it to orbits in a number of different, previously studied test cases (1D, 2D, and 3D; nonrotating and rotating). At the same time, the correlation integral method is compared and contrasted with other more traditional characterization tools such as Lyapunov exponents and surfaces of section. The method is then extended to orbits in a previously unexamined rotating, 3D bar potential.

This work has been supported in part by the US National Science Foundation through grant AST 99-87344.

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