Determining the solar structure from oscillation frequencies

Extract

The inverse problem of finding the structure of the solar interior from the observed frequencies can be written as

where, δω_i is the difference in frequency of the i^th mode between the solar data and the reference model, f₁ and f₂ are an appropriate pair of model parameters (e.g. sound speed squared c², and density ρ), E_i is the mode kinetic energy, K⁽¹⁾ and K⁽²⁾ are known functions of the reference model, and F(ω) is the unknown function added to account for uncertainties associated with the physics of the surface layers.