Astronomy and Astrophysics – Astronomy
Scientific paper
Sep 1996
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996cemda..65..313w&link_type=abstract
Celestial Mechanics and Dynamical Astronomy, Volume 65, Issue 3, pp.313-344
Astronomy and Astrophysics
Astronomy
8
Gravitational Potential, Polyhedron, Mascon, Asteroid 4769 Castalia
Scientific paper
The exterior gravitation of a constant-density polyhedron is derived analytically in closed form. Expressions for potential, attraction, and gravity gradient matrix involve one logarithm term per edge and one arctangent term per face, The Laplacian can be used to determine whether a field point is inside or outside the polyhedron, This polyhedral method is well suited to evaluating the gravitational field of an irregularly shaped body such as an asteroid or comet, Conventional harmonic and mascon potential and attraction expressions suffer large errors when evaluated close to a polyhedral model of asteroid 4769 Castalia.
Scheeres Daniel J.
Werner Robert Allen
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