Statistics – Computation
Scientific paper
Aug 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990a%26a...235...69m&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 235, no. 1-2, Aug. 1990, p. 69-84. Research supported by SNSF.
Statistics
Computation
15
Chaos, Computational Astrophysics, Many Body Problem, Stellar Rotation, Stellar Systems, Astronomical Models, Density Distribution, Orbital Mechanics, Systems Stability
Scientific paper
Characteristic diagrams and rotation numbers are used to examine the role played by resonant periodic orbits of various orders in the global orbital structure and in the chaotic behavior of four slowly rotating triaxial models of different axis ratios corresponding to modified Hubble density profiles. The present paper deals with orbits in the plane perpendicular to its rotation axis only. Chaos is amplified by interactions of resonances, from an unstable central simple periodic orbit of the family called x3. If the figure rotation goes up, this family disappears, and the chaos is reduced. The range of resonances in interaction depends on the density axis ratios and on the figure rotation. The almost spherical model is everywhere practically regular. The most triaxial system develops more extended chaotic regions than the others. The presence and the importance of banana orbits in the models is discussed. Their shape is not always compatible with the geometry of the imposed density law. All models develop instabilities parallel to the rotation axis which may produce secular effects modifying the mass distribution in the system.
Martinet Louis
Udry Stephane
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