Statistics – Computation
Scientific paper
Dec 2002
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002phdt.........6s&link_type=abstract
PhD Thesis, Observatoire de Paris, Paris 7 University, ISBN 84-689-3851-3, ID# 02/PA07/7178
Statistics
Computation
33
Rotation, Delta Scuti, Seismology
Scientific paper
Rotation constitutes an important element to take into account when modelling A type and hotter Main Sequence stars. Nowadays, despite the progress made in the treatment of rotation, this constitutes a significant problem when analysing observations from this kind of stars. In this work I deal with two important aspects: firstly, I treat the modelling of rotating stars, and secondly I develop a complete second order perturbative formalism permitting the computation of adiabatic oscillations in presence of differential rotation profiles. Concerning rotating stars modelling, I include the effects of rotation on two essential points: from one side on photometric parameters determination, and, on the other side, on equilibrium models. In the frame of the influence of rotation on stellar oscillations, I develop a complete formalism including differential rotation. In addition, I take into account the global shift of frequencies due to the effect of the centrifugal force on the stellar structure. This formalism is then included into a numeric code. As an application of these techniques, I consider Main Sequence delta Scuti stars belonging to open clusters. I show the importance of the effects of rotation on photometric parameters when searching for correlations between the oscillation amplitude and different photometric parameters. With an extended sample of selected delta Scuti stars belonging to five open clusters, I obtain a significant correlation between the oscillation amplitude and the angle of inclination of the star. This result is discussed in terms of mode visibility. In a second application, for delta Scuti stars belonging to the Praesepe and the Pleiades clusters, a comparison between radial order ranges of excited modes and those derived from observations is analysed. It seems evident that the effects of rotation must be taken into account when computing envelops models used to determine unstable modes.
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