Astronomy and Astrophysics – Astrophysics
Scientific paper
Jan 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983a%26a...117...89c&link_type=abstract
Astronomy and Astrophysics, vol. 117, no. 1, Jan. 1983, p. 89-108.
Astronomy and Astrophysics
Astrophysics
57
Barred Galaxies, Ergodic Process, Stellar Motions, Angular Momentum, Circular Orbits, Hamiltonian Functions, Jacobi Integral, Spiral Galaxies
Scientific paper
The degree and mechanism of ergodicity of stellar motions in barred and spiral galaxies are examined. The evolution of families of resonant periodic orbits and invariant curves are calculated for the unperturbed, axisymmetric case, and the cases of an intermediate bar representing about 10% of the axisymmetric background, and a strong bar representing about 100% of the axisymmetric background. The forms of the characteristics, period curves, and invariant curves are found to be similar in all three cases, except for (1) the presence of several stable and unstable periodic orbits produced by bifurcation from the main families of direct and retrograde orbits or the breaking of the direct orbit family and (2) the appearance of regions of semi-ergodic orbits in the barred galaxies. The abrupt increase in ergodicity is attributed to either the breaking of the major direct orbit family into an infinity of families, or its instability at the bifurcation of an important resonant family. The transition to ergodicity of tight spiral galaxies (density 20% of background) is shown to occur at a value of the Jacobi constant somewhat smaller than that for a bar of equal amplitude.
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