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Billiard in a rotating half-plane: modeling and dynamics
  • Sergey Kryzhevich,
  • Alexander Plakhov
Sergey Kryzhevich
Politechnika Gdanska Wydzial Fizyki Technicznej i Matematyki Stosowanej

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Alexander Plakhov
Universidade de Aveiro Departamento de Matematica
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We consider a billiard system consisting on an infinite rod (a straight line) and a ball (a massless point) on the plane. The rod uniformly rotates around one of its points and experiences elastic collisions with the ball. We develop a mathematical model for dynamics of such a system and study the main properties (including asymptotics) of its motions.