Centers of inscribed circles in triangular orbits of an elliptic\n billiard

2016/07/01 by Ronaldo Garcia, Garcia, Ronaldo A.
Mathematics · Physics and Astronomy · #14E05 #14H50 #53A15 #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Metric Geometry (math.MG) #Primary 51M04 #Quantum chaos and dynamical systems #Secondary 37D50

paper · pdf · doi:10.48550/arxiv.1607.00179

openalex publication_date 2016/07/01 · openalex created_date 2022/09/30 · openalex updated_date 2026/07/28

Abstract

The locus of centers of inscribed circles in triangles, the 3-periodic orbits\nof an elliptic billiard, is also an ellipse. In this work we obtain the\ncanonical equation of this ellipse, complementing the previous results obtained\nby O. Romaskevich.\n

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