Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975velen......133a&link_type=abstract
Leningradskii Universitet, Vestnik, Matematika, Mekhanika, Astronomiia, Apr. 1975, p. 133-138. In Russian.
Astronomy and Astrophysics
Astrophysics
Astronomical Models, Nonlinear Systems, Oscillations, Radial Velocity, Stellar Motions, Stellar Systems, Astrophysics, Lagrange Coordinates, Oscillating Cylinders, Self Consistent Fields, Stellar Gravitation
Scientific paper
Nonlinear radial oscillations of self-consistent stellar-system models are studied by the method of Lagrange coordinates. The examined models include the Camm sphere, the Maclaurin disk, and the circular cylinder. The velocity diagram is shown to be anisotropic in all these models. It is found that the cylinder is stable even with respect to nonlinear oscillations and that the sphere and disk are stable in the nonlinear case if the excitation energy is less than the parabolic limit.
Antonov Vadim A.
Nuritdinov Salakhutdin N.
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