Numerical experiments on the convergence of spherical and spheroidal harmonic representations of the external potential inside the Brillouin sphere

Advances in the Astronautical Sciences

Volumn 108 II, Issue , 2001, Pages 1709-1731

  Casotto, Stefano ^a  

^a UNIVERSITY OF PADOVA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; GEODESY; LAPLACE TRANSFORMS; ORBITS; PROBLEM SOLVING;

BRILLOUIN SPHERE; LAPLACE SERIES; STOKES COEFFICIENTS;

SPHERES;

EID: 0035735234     PISSN: 10816003     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (25)

1. Gravitational potential harmonics from the shape of an homogeneous body
2. Methods for computing the potential of an irregular, homogeneous, solid body and its gradient
3. Ellipsoidal harmonic expansion of the gravitational potential: Theory and applications
4. On the recursive computation of the integrals of the associated legendre functions
5. The exact transformation between ellipsoidal and spherical harmonic expansions
6. On the computation of the gravitational potential and its first and second order derivatives
7. Numerical problems in the computation of ellipsoidal harmonics
8. The gravitational potential of an homogeneous polyhedron or don't cut corners