Ellipsoids, material points and material segments

Details Ellipsoids, material points and material segments Ellipsoids, material points and material segments

Sep 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006cemda..96...31b&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 96, Issue 1, pp.31-48

Astronomy and Astrophysics

Astronomy

2

Potential, Gravity Field Models, Small Bodies

Scientific paper

Simple models of potential based on material points and material segments are confronted with a homogeneous ellipsoid potential. A spheroid is approximated with a pair of material points or with one material segment. The segment model proves to be more accurate. For a triaxial ellipsoid, two models are considered: one with five material points and one with two material segments and a point. When their parameters are determined with the fourth sectorial harmonic ignored, both simple models have a similar approximation error. Numerical tests indicate that the approximate models of a triaxial ellipsoid are 5 to 10 times faster than exact formulation, whereas for a spheroid the approximate models are at most twice as fast as the exact formulae.

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