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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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.