The non-linear stability of equilibrium of a mass point system

Details The non-linear stability of equilibrium of a mass point system The non-linear stability of equilibrium of a mass point system

Feb 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002acasn..43...75f&link_type=abstract

Acta Astronomica Sinica, vol.43, no.1, p. 75-83

Astronomy and Astrophysics

Astronomy

1

Comet Halley, Main Tail Streamer, Aberration (Tag)Angle, Photometry

Scientific paper

By applying the non-stationary tensor virial theorem to spheroidal systems of mass points with an anisotropic velocity distribution, we have found that, when the total energy is negative, there is a unique equilibrium of such a system. In this paper, we discuss the non-linear stability of this equilibrium. We find that, in the neighborhood of this equilibrium, spheroids execute quasi-periodic or near-quasi-periodic oscillation. Though chaoticity and orbit diffusion present in some cases, the equilibrium is practically stable with a large stable region. This result would be useful in the N-body simulation aimed to get better understanding of stellar system oscillation.

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