The gravitational potential of a homogeneous polyhedron or don't cut corners

Details The gravitational potential of a homogeneous polyhedron or don't cut corners The gravitational potential of a homogeneous polyhedron or don't cut corners

Jul 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994cemda..59..253w&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 59, no. 3, p. 253-278

Mathematics

Differential Geometry

27

Equipotentials, Gravitational Fields Mathematical Models, Orbit Calculation, Phobos, Polyhedrons, Satellite Orbits, Acceleration (Physics), Apexes, Differential Geometry

Scientific paper

A polyhedron can model irregularly shaped objects such as asteroids, comet nuclei, and small planetary satellites. With minor effort, such a model can incorporate important surface features such as large craters. Here we develop closed-form expressions for the exterior gravitational potential and acceleration components due to a constant-density polyhedron. An equipotential surface of Phobos is illustrated.

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