Isolation of integrals for centroid orbits in stellar system models

Statistics – Computation

Scientific paper

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Computational Astrophysics, Stellar Models, Stellar Orbits, Stellar Systems, Centroids, Equations Of Motion, Galactic Structure

Scientific paper

Two models are derived from the study of integrability conditions of centroid trajectories for a nonstationary stellar system that satisfies the ellipsoidal hypotheses with point-axial symmetry. For axially symmetric systems, studies of the integrals of the motion provide an essential contribution for understanding their dynamics. Thus, the projection in the galactic plane of the trajectories derived in this manner are ellipses centered at the galactic center whose parameters vary with time.

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