Periodic billiard trajectories in a uniform gravitational field (Q1425515)

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scientific article; zbMATH DE number 2061515
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Periodic billiard trajectories in a uniform gravitational field
scientific article; zbMATH DE number 2061515

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    Periodic billiard trajectories in a uniform gravitational field (English)
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    21 March 2004
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    The author discusses the motion of a material point in a billiard under the action of gravity force. For sufficiently large values of the energy constant the existence of an infinite number of periodic trajectories is proved. A problem on circular billiards is considered as an example.
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    billiards
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    existence of periodic trajectories
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