Low order resonance cartography in slowly rotating triaxial models

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Models, Galactic Structure, Orbital Resonances (Celestial Mechanics), Stellar Systems, Elliptical Galaxies, Galactic Bulge, Spiral Galaxies

Scientific paper

The orbital behavior of slowly rotating triaxial systems is examined in three-dimensional models with special attention given to the existence zones of low-order, resonant orbits. The shape and stability of the orbits in the cartographic diagrams of the axis ratios are discussed when their frequency ratios are less than or equal to 2. The existence diagram primarily comprises banana-shaped orbits bifurcating from the x(1) direct plane orbit elongated along the major axis, as well as resonant orbits and periodic orbits. In extremely flattened models the banana-shaped orbits disappear, and other vertical bananas related to small c/a values are found in the x(4) retrograde plane orbit, the x(2) direct orbit, and the z-axis orbit. The stability behavior of the bananas which relate Oz and the retrograde orbit are found to be like that found in anomalous orbits. The existence, structure, and stability of the centrophobic boxlets which appear in low-order, resonant periodic orbits are described in detail.

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