Gravitational pocket billiards with MathematicaTM
C. Antón and J.L. Brun*
Faculty of Sciences, University of Zaragoza, 50009 Zaragoza, Spain, e–mail: *brun@unizar.es
Recibido el 17 de febrero de 2009
Aceptado el 18 de junio de 2009
Abstract
Playing pocket billiards with two gravitational attracting balls and a non–interacting hole requires one to know the trajectories of the balls and therefore to be an "artisan" in the so–called two–body problem, one of the milestones for undergraduate students of Classical Mechanics.
Keywords: Two body problem; Kepler's problem; Mathematica; pocket billiards.
Resumen
Jugar al billar con dos bolas sometidas a interacción gravitatoria y un hoyo no interactuante precisa conocer las trayectorias de las bolas de billar y, además, ser un "artesano" en el bien conocido Problema de Dos Cuerpos, uno de los más complicados para los estudiantes de Mecánica Clásica.
Descriptores: Problema de dos cuerpos; problema de Kepler; Mathematica; billar.
PACS: 04.20.Cv
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Acknowledgements
This work was supported by the Spanish DGICYT, Project FIS 2005–06237. We thank Isabel García Viñao for helping.
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