3 citations · 6 across the 5 of their papers we have counts for
6 papers · 1 filter
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…
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…
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…
Gravitational billiards bouncing inside general domains -- foci curves and confined domains
Daniel Jaud
A massive particle under the influence of a constant gravitational force that is bouncing inside an ideal reflecting mirror described by some function is considered. For the…
Integer Sequences from Circle Divisions in Rational Billiards
Daniel Jaud
We study rational circular billiards. By viewing the trajectory formed after each reflection point to another inside the circle as the number of circle divisions into regions we de…
Playing a game of billiard with Fibonacci
Daniel Jaud
By making use of the greatest common divisor's () properties we can highlight some connections between playing billiard inside a unit square and the Fibonacci sequence as well…