The linearized variables can be put in a non dimensional form, as described in Sect. 2, and Eqs. (A.1), (A.2) and (A.3) can be solved to obtain , with and K specifying relations between density, velocities and pressure in the plane-wave solutions as:
The amplitudes for an initial pressure pulse are:
where , is the solution of dispersion relation for acoustic modes and is the solution for internal gravity modes. and are the amplitudes of acoustic modes while and are the amplitude of internal gravity modes.
© European Southern Observatory (ESO) 2000
Online publication: January 31, 2000