The gravitational potential of a homogeneous polyhedron or don't cut corners |
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| Authors: | Robert A Werner |
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| Institution: | (1) Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, 78712-1085 Austin, Texas, USA |
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| Abstract: | 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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| Keywords: | Irregularly shaped body polyhedron gravitational potential Phobos |
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