Analysis of box orbits in a triaxial galaxy

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Galactic Structure, Orbit Calculation, Stellar Motions, Stellar Systems, Harmonic Analysis, Orbit Perturbation, Potential Theory, Stellar Rotation

Scientific paper

It is pointed out that box orbits appear to play a key role for triaxial hot self-consistent stellar systems, just as the near-circular orbits do for cool fast-rotating disk systems. Since elliptical galaxies and possibly also the bulges of spiral galaxies may be triaxial in many cases, the present investigation is concerned with a further study of box orbits. Binney and Spergel (1982) have suggested a qualitative model for box orbits, taking into account the basic fact that box orbits are quasi-periodic with as many independent periods as dimensions. The current investigation has the objective to derive an approximate, reasonably simple representation of two-dimensional box orbits. The considered representation exploits directly the quasi-periodic character of the box orbits. In the incomplete second order development described, the coordinates X and Y of a two-dimensional box orbit in a triaxial potential are each represented by the sum of several terms.

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