Celestial Mechanics and Dynamical Astronomy Equations for the orbital elements : Hidden symmetry

@inproceedings{Efroimsky2009CelestialMA,
  title={Celestial Mechanics and Dynamical Astronomy Equations for the orbital elements : Hidden symmetry},
  author={Michael Efroimsky},
  year={2009}
}
We 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… CONTINUE READING
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