On the use of STF-tensors in celestial mechanics

Details On the use of STF-tensors in celestial mechanics On the use of STF-tensors in celestial mechanics

Sep 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994cemda..60..139h&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, vol. 60, no. 1, p. 139-159

Astronomy and Astrophysics

Astronomy

9

Cartesian Coordinates, Celestial Mechanics, Equations Of Motion, Gravitational Fields, Many Body Problem, Spherical Harmonics, Tensors, Parallel Processing (Computers), Symmetry

Scientific paper

The purpose of this article if to emphasize the usefulness of symmetric and trace-free (STF)-tensors in celestial mechanics. Using STF-mass multipole moments and Cartesian coordinates the derivations of equations of motion, the interaction- and tidal-potentials for an isolated system of N arbitrarily shaped and composed, purely gravitationally interacting bodies are particularly simple. Using simple relations between STF-tensors and spherical harmonics it is shown how all Cartesian formulas can be converted easily into the usual spherical representations. Some computational aspects of STF-tensors and spherical harmonics are discussed. A list of useful formulas for STF-tensors is provided.

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