A comment on some oscillatory models of adiabatic stars

Details A comment on some oscillatory models of adiabatic stars A comment on some oscillatory models of adiabatic stars

Feb 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982ap%26ss..82..209k&link_type=abstract

Astrophysics and Space Science, vol. 82, no. 1, Feb. 1982, p. 209-212.

Astronomy and Astrophysics

Astrophysics

Adiabatic Conditions, Pulsars, Stellar Models, Stellar Oscillations, Homogeneity, Power Series, Roche Limit, Stellar Mass

Scientific paper

The homogeneous, inverse square and Roche oscillatory models of adiabatic stars are reinvestigated, and the ratio between oscillation amplitude and distance from the center is developed in a power series. The convergence or divergence of the power series is seen as crucial to the drawing of physical conclusions. The mathematical arguments presented establish the divergence of the power series for the three models, demonstrating how far the analysis of pulsating stars may be advanced by means of elementary mathematics.

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