On the constraction of local gravitational field model
Methods of local gravitational field presentation using nonorthogonal functions are considered. Analysis of SCHA, ASHA and TOSCHA techniques of local field modeling on spherical cap and spherical segment is accomplished according to density distribution of initial data. Approximate formula for finding eigenvalues of differential equation of associated spherical functions is found and compared with other formulas. This approach involves using of associated Legendre functions of integer degree and noninteger order. These functions form two sets of functions.