Solar Rotation Inversions from Splittings and from a-coefficients

Frank P. Pijpers

Theoretical Astrophysics Center, Aarhus, Denmark


From the observing campaigns of a number of helioseismic telescope networks such as the Global Oscillation Network Group (GONG) and also from the Solar Heliospheric Observatory satellite (SoHO), helioseismologists now have data on in excess of 20000 oscillation frequencies $\nu$ of the modes known collectively as the 5 minute oscillations. Depending on the order and degree of the modes these data are available either as individual frequencies of modes with known radial order n, spherical harmonic degree l, and order m, or as so-called `a-coefficients' which are obtained by fitting polynomials to ridges of power in the (l,nu ) diagram. Although there is a one-to-one relationship between these two types of data, the conversion between them is not straightforward which complicates comparison of helioseismic inference between the two types of data. Their relationship with each other and with the solar rotation rate is shown as well as some inversion results for the differential rotation rate of the Sun as a function of radius and latitude.


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