Sur la forme asymptotique des pulsations radiales adiabatiques d'une étoile. I

Abstract

The asymptotic behaviour of the adiabatic radial pulsation of a star is discussed taking into account the singularities at the centre and at the surface. The conditions of continuity at the junction of the two representations, one from the centre and the other from the surface, yield an asymptotic formula for the frequencies. Comparison with the exact values for a few models reveals a very satisfactory agreement. The behaviour of the amplitude will be discussed in a forthcoming paper as well as its implications for vibrational stability.