Mathematics – Logic
Scientific paper
Dec 2007
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007aas...21110310m&link_type=abstract
American Astronomical Society, AAS Meeting #211, #103.10; Bulletin of the American Astronomical Society, Vol. 39, p.921
Mathematics
Logic
Scientific paper
We have computed absorption line profiles for rapidly rotating 2 solar-mass stars, using structural models of chemically homogeneous, uniformly and differentially rotating stars of this mass to specify photospheric physical conditions. The models were constructed with a recent reformulation of the self-consistent field method, an iterative procedure yielding two-dimensional, axisymmetric, equilibrium configurations that are consistent solutions to the stellar structure equations and Poisson's equation for the gravitational potential, for a specified conservative angular velocity distribution. The simulated line profiles display a variety of shapes, with morphological characteristics that depend on the properties of the surface rotational velocity distribution, the angle of inclination of the line of sight relative to the rotation axis, and on rotational modifications to the structure of the star, including the difference between the surface temperatures of the poles and the equator and deviations of the stellar shape from sphericity. Some features of the Doppler-broadened profiles reflect details of the distribution of the projected rotation speed over the visible surface of the star, and may thus provide the means for distinguishing between uniform and differential rotation of the stellar photosphere. For example, differentially rotating models can exhibit absorption profiles with flat or even convex-upward bottoms, as opposed to the rounded, concave-upward profiles that are indicative of uniform rotation. We present preliminary results from an ongoing effort to use simulated line profiles in conjunction with the techniques of Principal Component Analysis to infer stellar rotational properties from observations.
Casini Roberto
Flanagan Will
Jackson Stephen
MacGregor Keith B.
Skumanich Andrew
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