Astronomy and Astrophysics – Astronomy
Scientific paper
Apr 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991pasj...43..381s&link_type=abstract
Astronomical Society of Japan, Publications (ISSN 0004-6264), vol. 43, no. 2, 1991, p. 381-411.
Astronomy and Astrophysics
Astronomy
14
Inversions, Solar Oscillations, Solar Radiation, Solar Rotation, Integral Equations, Least Squares Method, Linear Equations, Two Dimensional Models
Scientific paper
The internal rotation of the sun is inferred by solving a fuly two-dimensional inverse problem of the rotational splitting data of Libbrecht (1989). A set of integral equations is solved, which relate the rotational splittings of the eigenfrequencies of the sun to the internal rotation rate of the sun, the latter being considered as a function of both the distance from the center and the latitude. For this purpose, an inverse method is suggested and is applied to the present problem. The results of numerical experiments show that the best resolution is obtained within a depth range of r/R between values of about 0.6 and about 0.9 in the low-latitude region. By inverting the observed splittings, it was found that the solar internal rotation in the low-latitude region is slightly faster than the surface rotation rate in the outer 10 percent of the radius, and decreases to about 5 percent less than the surface rotation rate within the lower levels of the convection zone. The rotation rate within the midlatitude decreases with depth in the outer 20 percent of the radius, and gradually increases inward to be faster than the surface rate.
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