The Cubed Sphere grid is an important tool to approximate functions or data on the sphere. We introduce approximation framework this based least squares and a suitably chosen subspace of spherical harmonics. main claim that for equiangular with step size π/(2N), relevant harmonics one all SH degree less than 2N. This choice, which matches Nyquist’s cutoff frequency along equatorial great circle...

SUMMARY Relationships between the degree of a spherical harmonic model gravitational field body and depth source expressed as density contrast can be used to study structure features. Here, we show that acceleration per constant has an extremum depends on source. Using harmonics expansion for point mass source, use this derive degree–depth relationship. Our relationship resembles earlier one de...