Orbits as building blocks of a barred galaxy model

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Models, Barred Galaxies, Orbital Elements, Galactic Rotation, Hamiltonian Functions, Mass Distribution

Scientific paper

The characteristics of the main families of periodic orbits are calculated for several sets of values of the parameters of a barred galaxy model which consists of a prolate heterogeneous bar in an axisymmetric background. Inside corotation, two main direct families are found of which the second, designated 'B' is aligned with the bar, as well as a retrograde family designated 'R'. Most quasi-periodic orbits, or regular motions, are trapped around either family B or family R. It is noted that more massive and/or more eccentric bars create more ergodicity, and the way in which this can affect the building of self-consistent bars is discussed. Outside corotation, analogs are found for the two main direct families, as well as a -1/1 resonant family. A nonnegligible amount of mass can be trapped around the -1/1 resonant family of periodic orbits outside the outer Lindblad resonance.

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