Astronomy and Astrophysics – Astronomy
Scientific paper
Feb 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999mnras.303..393v&link_type=abstract
Monthly Notices of the Royal Astronomical Society, Volume 303, Issue 2, pp. 393-410.
Astronomy and Astrophysics
Astronomy
4
Instabilities, Galaxies: Kinematics And Dynamics, Galaxies: Structure
Scientific paper
This paper presents the first results of a project to apply numerical N-body methods to the study of small perturbations in galaxies. The central idea of the project is to make use of N-body calculations as realizations of the solutions of the equations that govern perturbations in the Lagrangian representation. Thus, an unperturbed system is described as an independent particle model of the usual kind satisfying Liouville's equation and Poisson's equation. Accordingly, the stellar orbits in the gravitational field of the unperturbed system are integrated as N one-body problems. Nevertheless, a full N-body calculation is required in the solution of the linearized equations governing the Lagrangian displacements, because the Eulerian perturbation of the acceleration must be represented as a sum of two-body interactions. This paper describes a detailed investigation of applications of such calculations to the radial oscillations of a spherically symmetric galaxy.
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