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Gauge Freedom in the N-body problem of Celestial Mechanics

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arxiv astro-ph/0307130 v1 pith:UQZHKIGD submitted 2003-07-07 astro-ph physics.class-ph

classification astro-phphysics.class-ph
keywords efroimskygaugeapplicationcalculationcelestialconsiderablydevelopequations
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We summarise research reported in (Efroimsky 2002, 2003; Efroimsky and Goldreich 2003a,b) and develop its application to planetary equations in non-inertial frames. We provide a practical example illustrating how the gauge formalism considerably simplifies the calculation of satellite motion about an oblate precessing planet.

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    Magnetic tidal fields from a supermassive black hole trigger new orbital resonances in a companion compact binary, boosting eccentricity and altering its gravitational-wave signal.

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