Stability of bidimensional stellar systems for axisymmetric modes

Details Stability of bidimensional stellar systems for axisymmetric modes Stability of bidimensional stellar systems for axisymmetric modes

Jul 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984ap%26ss.102..367g&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 102, no. 2, July 1984, p. 367-373.

Astronomy and Astrophysics

Astrophysics

Celestial Mechanics, Stellar Motions, Stellar Systems, Angular Momentum, Astronomical Models, Canonical Forms, Distribution Functions, Eigenvalues, Space Density

Scientific paper

Consideration is given to some bidimensional stellar systems with distribution function F depending both on the energy epsilon and on the angular momentum I. Using the Bartholomew formalism, a demonstration of the sufficient condition of stability partial derivative of F/partial derivative of epsilon less than 0 when these systems are submitted to axisymmetric modes is presented in a new form.

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