Uniform displacement mode for spherical systems

Details Uniform displacement mode for spherical systems Uniform displacement mode for spherical systems

Jun 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981ap%26ss..77..121g&link_type=abstract

Astrophysics and Space Science, vol. 77, no. 1, June 1981, p. 121-129.

Astronomy and Astrophysics

Astrophysics

Astrophysics, Displacement, Perturbation Theory, Stars, Systems Stability, Cartesian Coordinates, Modal Response, Partial Differential Equations, Poisson Equation, Spheres, Spherical Coordinates, Vlasov Equations

Scientific paper

The paper studies a time-independent displacement mode which is an exact solution of Vlasov-Poisson equation for spherical stellar systems and it is shown that it corresponds to an aspherical mode. Bartholomew formalism is used to write it explicitly to the second order and its generating function is given. For this marginal mode it is shown that the second variation of energy delta W vanishes.

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