Preferred orbit planes in tumbling triaxial galaxies. III Application to the Schwarzschild ellipsoid

Details Preferred orbit planes in tumbling triaxial galaxies. III Application to the Schwarzschild ellipsoid Preferred orbit planes in tumbling triaxial galaxies. III Application to the Schwarzschild ellipsoid

Aug 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985apj...295...65d&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 295, Aug. 1, 1985, p. 65-72.

Statistics

Computation

6

Computational Astrophysics, Galactic Structure, Orbits, Tumbling Motion, Celestial Mechanics, Circular Orbits, Mass Distribution, Schwarzschild Metric

Scientific paper

An analytic method is used to examine the behavior of preferred orbit planes interior to the mass distribution of a tumbling triaxial galaxy. These planes are directly related to the location of periodic orbits and define the possible orientations of steady state gas disks. The ways in which properties of these orbits, including stability, vary with the axis ratios of a galaxy's mass distribution and with the tumble rate of its surface figure are discussed. In particular, for the triaxial galactic potential of Schwarzschild (1983), the analytic predictions of the present preferred plane method are compared with numerical determinations of periodic orbit orientations in galaxies tumbling about their short axis. Outside the harmonic core of the potential, agreement is found to within several percent for the inclinations of periodic orbits at a given orbit energy. Analytic expressions for the location and extent of the retrograde Binney (1978) instability strip also agree with numerical results to the same degree of accuracy.

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