Implicit gauge symmetry emerging in the N-body problem of celestial mechanics

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dc.creatorEfroimsky, Michael
dc.date2002-12-10
dc.date2009-02-23
dc.date.accessioned2026-07-07T12:45:08Z
dc.date.available2026-07-07T12:45:08Z
dc.descriptionWe revisit the Lagrange and Delaunay systems of equations for the orbital elements, and point out a previously neglected aspect of these equations: in both cases the orbit resides on a certain 9-dimensional submanifold of the 12-dimensional space spanned by the orbital elements and their time derivatives. We demonstrate that there exists a vast freedom in choosing this submanifold. This freedom of choice (=freedom of gauge fixing) reveals a symmetry hiding behind Lagrange's and Delaunay's systems, which is, mathematically, analogous to the gauge invariance in electrodynamics. Just like a convenient choice of gauge simplifies calculations in electrodynamics, so the freedom of choice of the submanifold may, potentially, be used to create simpler schemes of orbit integration. On the other hand, the presence of this feature may be a previously unrecognised source of numerical instability.
dc.identifierhttps://arxiv.org/abs/astro-ph/0212245
dc.identifierhttp://arxiv.org/abs/astro-ph/0212245
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220995
dc.subjectAstrophysics
dc.subjectMathematical Physics
dc.subjectChaotic Dynamics
dc.subjectClassical Physics
dc.subjectHistory and Philosophy of Physics
dc.titleImplicit gauge symmetry emerging in the N-body problem of celestial mechanics
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