Gravitational potential harmonics from the shape of an homogeneous body

Details Gravitational potential harmonics from the shape of an homogeneous body Gravitational potential harmonics from the shape of an homogeneous body

Nov 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994cemda..60..331b&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 60, no. 3, p. 331-364

Physics

Geophysics

16

Gravitation, Inertia, Planetary Surfaces, Triaxial Stresses, Convergence, Geophysics, Harmonic Analysis, Phobos

Scientific paper

The spherical harmonic coefficients of the gravitational potential of an homogeneous body are analytically derived from the harmonics describing its shape. General formulas are given as well as detailed expressions up to the fifth order of the topography harmonics. The volume, surface and inertia tensor of the body are obtained as by-products. The case of a triaxial ellipsoid is given as example and used for numerical checking. Another numerical scheme for verification is provided. The application to Phobos is made and the convergence of the expressions for the harmonics is numerically established.

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