|Affiliations:||Mathematical Institute of the Serbian Academy of Sciences and Arts||Title:||Conditions of Cayley's type for ellipsoidal billiard||Journal:||Journal of Mathematical Physics||Volume:||39||Issue:||1||First page:||355||Last page:||362||Issue Date:||1-Jan-1998||Rank:||M22||ISSN:||0022-2488||DOI:||10.1063/1.532317||Abstract:||
The billiard system within an ellipsoid in three-dimensional space is considered. We describe periodical trajectories of that mechanical system deriving analytical condition of Cayley's type for generalized Poncelet's theorem, using methods of algebrogeometric integration.
|Publisher:||American Institute of Physics|
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