Asymptotic description and the diagnostic properties of low-degree stellar p-modes
Abstract
We describe a new development of the asymptotic theory of high-frequency stellar acoustic oscillations, which focuses on low-degree modes and which is motivated by its application in stellar seismology, when the ammount of the observational data and the accuracy of frequency measurements are rather limited. When developing the asymptotic expansion of the solutions of the wave equations, we use new small parameter (ell + 1/2) omega, with degree ell and frequency omega, instead of a standard small parameter 1 omega. Such an alternative choise of the small parameter leads to a simple second-order asymptotic eigenfrequency equation which fits the exact frequencies with much better accuracy. Fitting with observational data thus provides an efficient separation of the diagnostic information contained in the stellar frequencies, filtering the contribution of the stellar core and the near-surface effects.
- Publication:
-
New Eyes to See Inside the Sun and Stars
- Pub Date:
- 1998
- Bibcode:
- 1998IAUS..185..391R