Proves a Poncelet tangency property for non-zero energy Kepler billiards bounded by elliptic conics and identifies the elliptic curve and shift that linearize the integrable dynamics.
arXiv:2008.01955
2 Pith papers cite this work. Polarity classification is still indexing.
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In integrable Kepler/Hooke billiards with focus/center-aligned conic boundaries, reflected orbit foci lie on a circle or Cassini oval respectively.
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Poncelet property of planar elliptic integrable Kepler billiards
Proves a Poncelet tangency property for non-zero energy Kepler billiards bounded by elliptic conics and identifies the elliptic curve and shift that linearize the integrable dynamics.
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Geometric properties of integrable Kepler and Hooke billiards with conic section boundaries
In integrable Kepler/Hooke billiards with focus/center-aligned conic boundaries, reflected orbit foci lie on a circle or Cassini oval respectively.