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math.DS2026
Poncelet property of planar elliptic integrable Kepler billiards
Daniel Jaud, Lei Zhao
We consider the integrable dynamics of a Kepler billiard in the plane bounded by a branch of a conic section focused at the Kepler center. We show that in this case, for non-zero-e…
math.DS2025
Integrability of Kepler Billiards at Zero-Energy
Lei Zhao
We consider a Kepler billiard with zero-energy in the plane defined inside a smooth closed connected simple curve which intersects all focused parabola at at most two points. {We s…