Pulsational stability of stars in thermal imbalance. IV - Direct solution of differential equation

Abstract

view Abstract Citations (7) References (15) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Pulsational stability of stars in thermal imbalance. IV. Direct solution of differential equation. Aizenman, M. L. ; Cox, J. P. Abstract Direct solutions, accurate to the order of (free-fall time)/(secular time), of the exact linearized partial differential equation describing the quasi-adiabatic, radial oscillations of a star in thermal imbalance, have been obtained for a number of simplified stellar models undergoing both homologous and nonhomologous secular motion. Comparison of these solutions with the results obtained by use of the integral expression approach of Cox, Hansen, and Davey and of Cox, Davey, and Aizenman for the same models, yields exact agreement as regards pulsational stability. This agreement provides, we feel, a complete and rigorous justification for the use of the much simpler integral expression approach to compute the pulsational stability of stars in thermal imbalance, at least for quasi-adiabatic oscillations. Publication: The Astrophysical Journal Pub Date: December 1974 DOI: 10.1086/153288 Bibcode: 1974ApJ...194..663A Keywords: Astronomical Models; Oscillations; Partial Differential Equations; Stellar Structure; Thermal Instability; Variable Stars; Linear Equations; Radial Distribution; Secular Variations; Stellar Motions; Astrophysics full text sources ADS |