On the dynamical evolution of a spheroidal cluster

Details On the dynamical evolution of a spheroidal cluster On the dynamical evolution of a spheroidal cluster

Mar 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985mnras.213..381s&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 213, March 15, 1985, p. 381-388. Research supported by

Astronomy and Astrophysics

Astronomy

10

Galactic Clusters, Galactic Evolution, Mass Distribution, Spheroids, Star Clusters, Tensor Analysis, Celestial Mechanics, Dynamic Models, Energy Budgets, Velocity Distribution, Virial Coefficients

Scientific paper

Tensor virial equations are used to investigate the dynamical evolution of a cluster of mass points characterized by a spheroidal (homogeneous or heterogeneous) distribution of matter and an isotropic distribution of velocities. It is known that if the total energy of the system is positive, it will disperse to infinity. The authors show that in the case of negative total energy, the system executes finite amplitude oscillations between oblate and prolate shapes.

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