Mutual Potential of Homogeneous Polyhedra

Details Mutual Potential of Homogeneous Polyhedra Mutual Potential of Homogeneous Polyhedra

Mar 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005cemda..91..337w&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 91, Issue 3-4, pp. 337-349

Astronomy and Astrophysics

Astronomy

11

Inertia Integral, Mutual Potential, Polyhedron Potential, Two Rigid Bodies Problem

Scientific paper

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(6 n ), where n is the term degree. An alternate formulation due to Liebenthal is also presented.

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