Stability of star clusters as galactic satellites. V Additional notes on the linear analysis

Details Stability of star clusters as galactic satellites. V Additional notes on the linear analysis Stability of star clusters as galactic satellites. V Additional notes on the linear analysis

Feb 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984a%26a...131..171a&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 131, no. 1, Feb. 1984, p. 171-174.

Mathematics

Dynamic Stability, Galactic Structure, Star Clusters, Stellar Motions, Eigenvalues, Globular Clusters, Matrices (Mathematics)

Scientific paper

In this research note previous researches on the linear stability of star clusters are generalized by adopting a galactic gravitational force of the form F is directly proportional to (r to the alpha power), where r is the radial distance from the galactic center. A special emphasis was devoted to the determination of multiple eigenvalues of the monodromy matrix and the ensuing question of strong stability. Numerical results are presented for particular galactic potentials. A hint of possible developments beyond the present stability analysis is also given.

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