The exact transformation from spherical harmonic to ellipsoidal harmonic coefficients for gravitational field modeling
DOI10.1007/S10569-016-9678-ZzbMath1342.33032OpenAlexW2330920689MaRDI QIDQ531174
Publication date: 3 August 2016
Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10569-016-9678-z
convergencespherical harmonicsellipsoidal harmonicsbounding ellipsoidBrillouin ellipsoidexact transformationgravitational field modelssphero-conal harmonics
Celestial mechanics (70F15) Applications of hypergeometric functions (33C90) Spherical harmonics (33C55) Elliptic functions and integrals (33E05)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Connection formulae between ellipsoidal and spherical harmonics with applications to fluid dynamics and electromagnetic scattering
- Small body surface gravity fields via spherical harmonic expansions
- Existence of a class of irregular bodies with a higher convergence rate of Laplace series for the gravitational potential
- Regional gravity modeling in terms of spherical base functions
- The gravitational potential of a homogeneous polyhedron or don't cut corners
- Exterior gravitation of a polyhedron derived and compared with harmonic and mascon gravitation representations of asteroid 4769 Castalia
- Verified computation of Lamé functions with high accuracy
- Toward multiresolution estimation and efficient representation of gravitational fields
- On the computation and approximation of ultra-high-degree spherical harmonic series
- On convergence of an asymmetrical body potential expansion in spherical harmonics
- Association of spherical and ellipsoidal gravity coefficients of the Earth's potential
- Ellipsoidal harmonic expansions of the gravitational potential: theory and application
This page was built for publication: The exact transformation from spherical harmonic to ellipsoidal harmonic coefficients for gravitational field modeling