Elliptical billiard table with Newtonian potential
type: Item
instance of: scholarly article
title: Elliptical billiard table with Newtonian potential
zbMATH Open document ID: 0821.70011
DOI: 10.1007/BF02110789
author: A. A. Panov
published in: Mathematical Notes
publication date: 1995-07-10T00:00:00Z
review text: The problem of determining the motion of a particle moving on an elliptical billiard affected by an elastic force directed towards the center of the ellipse was considered in [(*) \textit{V. V. Kozlov}, J. Appl. Math. Mech. 52, No. 6, 691-699 (1988); translation from Prikl. Mat. Mekh. 52, No. 6, 883-894 (1988; Zbl 0711.70021)]. It was proved in (*) that the surface of such a billiard is integrable. Using this result, we will prove here that an elliptical billiard in which a particle moves under the effect of Newtonian force directed towards the focus of the ellipse is integrable.
Mathematics Subject Classification ID: 70F35
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37K10
zbMATH DE Number: 771997
zbMATH Keywords: integrable billiard
zbMATH Keywords: integrable surface
zbMATH Keywords: focus
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 771997