On the use of STF-tensors in celestial mechanics |
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| Authors: | Torsten Hartmann Michael H Soffel Thomas Kioustelidis |
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| Institution: | (1) Theoretische Astrophysik, Auf der Morgenstelle 10, 72076 Tübingen, Federal Republic of Germany |
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| Abstract: | The purpose of this article is to emphasize the usefulness of 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 ofN 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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| Keywords: | STF-tensors N-body problem equations of motion |
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