3 citations · 6 across the 5 of their papers we have counts for
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math.DS2023★ 2 cited
Geometric properties of integrable Kepler and Hooke billiards with conic section boundaries
Daniel Jaud, Lei Zhao
We study the geometry of reflection of a massive point-like particle at conic section boundaries. Thereby the particle is subjected to a central force associated with either a Kepl…
math.DS2023★ 1 cited
Gravitational billiards -- bouncing inside a paraboloid cavity
Daniel Jaud
In this work the confined domains for a point-like particle propagating within the boundary of an ideally reflecting paraboloid mirror are derived. Thereby it is proven that all co…