Astronomy and Astrophysics – Astrophysics
Scientific paper
May 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983a%26a...121..188a&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 121, no. 2, May 1983, p. 188, 189.
Astronomy and Astrophysics
Astrophysics
6
Galaxies, Globular Clusters, Motion Stability, Stellar Motions, Circular Orbits, Orbit Calculation
Scientific paper
Continuing the linear stability analysis of spherically symmetric star clusters orbiting a point-mass galaxy, whose stellar motion stability in the cluster orbital plane has previously been studied (by means of the Floquet theory, in the scheme of a modified elliptic restricted problem of three bodies), an analysis is undertaken of the stability of stellar motion perpendicular to the cluster orbital plane. It is found that the ranges of the free parameters, for which the full three-dimensional motion is stable, virtually coincide with those obtained for the motion in the cluster orbital plane. Comments and conclusions from the previous work by Angeletti and Giannone (1983) can therefore be extended to three-dimensional motion without substantial modifications.
Angeletti Lucio
Giannone Pietro
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