Dynamics of a Rotated Orthogonal Gravitational Wedge Billiard

Keegan D. Anderson

doi:10.1142/S0218127423501365

Dynamics of a Rotated Orthogonal Gravitational Wedge Billiard

Keegan D. Anderson

Mathematics and Applied Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We investigate a rotated, orthogonal gravitational wedge billiard - a special case of the asymmetric gravitational wedge billiard - in which the dynamics are integrable. We derive equations and conditions under which periodic orbits may be constructed for this model, and show that any other trajectory will be dense in the configuration space.

Original language	English
Article number	2350136
Journal	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume	33
Issue number	12
DOIs	https://doi.org/10.1142/S0218127423501365
Publication status	Published - 30 Sept 2023

Keywords

Gravitational billiard
integrable dynamics
wedge billiard

ASJC Scopus subject areas

Modeling and Simulation
Engineering (miscellaneous)
Multidisciplinary
Applied Mathematics

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10.1142/S0218127423501365

Cite this

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title = "Dynamics of a Rotated Orthogonal Gravitational Wedge Billiard",

abstract = "We investigate a rotated, orthogonal gravitational wedge billiard - a special case of the asymmetric gravitational wedge billiard - in which the dynamics are integrable. We derive equations and conditions under which periodic orbits may be constructed for this model, and show that any other trajectory will be dense in the configuration space.",

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AB - We investigate a rotated, orthogonal gravitational wedge billiard - a special case of the asymmetric gravitational wedge billiard - in which the dynamics are integrable. We derive equations and conditions under which periodic orbits may be constructed for this model, and show that any other trajectory will be dense in the configuration space.

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M3 - Article

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Dynamics of a Rotated Orthogonal Gravitational Wedge Billiard

Abstract

Keywords

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