Solar internal rotation from LOWL data. A 2D regularized least-squares inversion using B-splines.

Details Solar internal rotation from LOWL data. A 2D regularized least-squares inversion using B-splines. Solar internal rotation from LOWL data. A 2D regularized least-squares inversion using B-splines.

Aug 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997a%26a...324..298c&link_type=abstract

Astronomy and Astrophysics, v.324, p.298-310

Astronomy and Astrophysics

Astrophysics

42

Sun: Interior, Sun: Oscillations, Sun: Rotation, Methods: Numerical

Scientific paper

Observations of surface oscillations of the Sun can be analyzed to probe the solar interior. We use data obtained by the LOWL instrument (LOWL is an abbreviation for low degree with degree denoted by L) installed on Mauna Loa, Hawaii, since 1994 to investigate solar internal rotation. A 2 Dimensional Regularized Least-Squares (2D RLS) inverse method based on an expansion of the solution on B-splines of arbitrary order is presented and applied to a 2 year dataset. This method insures the regularity of the solution in the center and introduces surface constraints. The choice of trade-off parameters in the regularization term is discussed using an L-curves analysis and we discuss the influence of the choice of the order of derivatives in the regularization terms for the description of the deep interior. We study the latitudinal resolution of the inversion of a-coefficients compared to that of the inversion of individual splittings built from these coefficients. Compared to the previous inversion of the first three months of LOWL data made by Tomczyk et al. (1995ApJ...448L..57T), our solution is extended up to the surface by adding high degree modes and constraining the rotation to fit the spectrographic observations (Snodgrass, 1984SPh....94...13S). In the radiative zone we obtain more rigid rotation and our solution is compatible with a rotation of the solar core of the order or smaller than the surface rotation at mid latitude.

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