Hill Stability in the Many-Body Problem

Details Hill Stability in the Many-Body Problem Hill Stability in the Many-Body Problem

Apr 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003astl...29..274l&link_type=abstract

Astronomy Letters, vol. 29, p. 274-277 (2003)

Astronomy and Astrophysics

Astronomy

1

Scientific paper

We established a criterion for the Hill stability of motions in the problem of many spherical bodies with a spherical density distribution. The region of Hill stability was determined. The sizes of this region are comparable to the total volume of all of the bodies in the system, which sharply increases the probability of mutual collisions. This result may be considered as a confirmation that a supermassive core can be formed at the center of a globular star cluster. The motions in the n-body problem are shown to be unstable according to Hill.

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