Dual Billiards

Dogru, Filiz; Tabachnikov, Serge
September 2005
Mathematical Intelligencer;Fall2005, Vol. 27 Issue 4, p18
Academic Journal
The article proposes a system for planetary motion called Dual Billiards. It further offers a look at the various shortcomings associated with the same. The main shortcoming that the dual billiard map has is that the position t is not defined if the tangency point z is not unique. Further, the dual billiard map and its iterations are not defined for the points on the extensions of straight segments. This situation resembles inner billiards. The author provides examples to illustrate this statement in the article.


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