Mutual Potential of Homogeneous Polyhedra

被引:0
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作者
Robert A. Werner
Daniel J. Scheeres
机构
[1] Jet Propulsion Laboratory,Department of Aerospace Engineering
[2] California Institute of Technology,undefined
[3] The University of Michigan,undefined
关键词
inertia integral; mutual potential; polyhedron potential; two rigid bodies problem;
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摘要
The mutual gravitational potential between a pair of homogeneous polyhedra is expressed using an infinite series. The nested volume integrals are evaluated analytically and result in simple tensor expressions containing no special functions. However, complexity increases as O(6n), where n is the term degree. An alternate formulation due to Liebenthal is also presented.
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页码:337 / 349
页数:12
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