Non-linear stellar oscillations - Non-radial mode interactions

Details Non-linear stellar oscillations - Non-radial mode interactions Non-linear stellar oscillations - Non-radial mode interactions

Oct 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985a%26a...151..174d&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 151, no. 1, Oct. 1985, p. 174-188.

Statistics

Computation

7

Computational Astrophysics, Nonlinear Systems, Stellar Oscillations, Variable Stars, Adiabatic Conditions, Energy Distribution, Hamiltonian Functions, Stellar Models, Variational Principles, White Dwarf Stars

Scientific paper

A mode-coupling formalism is developed which captures an important class of nonlinear, nonradial adiabatic stellar motions, namely genuine oscillations about a dynamically stable equilibrium state. Observational arguments suggesting nonlinear phenomena among the nonradial-oscillations and indirect theoretical arguments pointing toward hidden nonlinearities are reviewed. A scheme for mastering the general adiabatic nonradial nonlinear stellar motion problem by translating it into a Hamiltonian particle formalism is shown and then refined to ecompass only 'pure' oscillations around the radially symmetric equilibrium state, thus suppressing all stationary circulations. The formalism is used to provide constraints on 'pure' oscillations in an intrinsic fashion, without resorting to Lagrange multipliers. The final Hamiltonian equations are found to have a structure more involved than in the purely radial case. This suggests that the nonradial nonlinear oscillations may exhibit a broader spectrum of different clases of motion than the purely radial stellar oscillations.

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