Physics
Scientific paper
May 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992zhetf.101.1409p&link_type=abstract
Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki (ISSN 0044-4510), vol. 101, no. 5, p. 1409-1427.
Physics
10
Celestial Mechanics, Cylindrical Bodies, Disks (Shapes), Gravitational Effects, Orbital Mechanics, Spheres, Stability, Barred Galaxies, Elliptical Galaxies, Integral Equations, Planetary Rings
Scientific paper
Integral equations for the LF modes in a gravitating cylinder, disk, and sphere are derived. An analytic theory for the instability of radial orbits (a very important instability of collisionless gravitating systems) is proposed. Simple formulas expressing the relationship between the minimum velocity dispersion necessary for stability and the instability increment for pure radial orbits are obtained. The marked elliptical deformation of the disk systems and the ellipsoidlike deformations of the spherical systems with radially elongated orbits is shown. This fact is directly associated with the involvement of the instability of radial orbits in the formation of barred spiral galaxes and elliptical galaxies. The possibility of explaining the ellipticity of thin planetary rings as a manifestation of the corresponding instability in systems with nearly circular orbits is discussed.
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