Weight functions in adiabatic stellar pulsations. I - Radially symmetric motion

Details Weight functions in adiabatic stellar pulsations. I - Radially symmetric motion Weight functions in adiabatic stellar pulsations. I - Radially symmetric motion

Sep 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987pasp...99..975p&link_type=abstract

Astronomical Society of the Pacific, Publications (ISSN 0004-6280), vol. 99, Sept. 1987, p. 975-985.

Statistics

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4

Cepheus Constellation, Stellar Models, Stellar Motions, Stellar Oscillations, White Dwarf Stars, Computational Astrophysics, Pulsars

Scientific paper

Through the use of two classes of simple stellar models, the author illustrates a weight function for radial pulsations that can be interpreted in terms of two types of potential energy. The traditional weight function is related to the present one via an integration by parts, and it is argued that both formulations should be examined to minimize possible errors that can arise from neglecting several surface terms. The present form provides a different interpretation of radial oscillations of stars with small central condensations. The author also follows the radial fundamental of a highly centrally condensed polytrope through the dynamic instability at γ = 4/3 and demonstrates that the envelope is not involved in the instability.

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