|Affiliations:||Mathematical Institute of the Serbian Academy of Sciences and Arts||Title:||On periodical trajectories of the billiard systems within an ellipsoid in Rd and generalized Cayley's condition||Journal:||Journal of Mathematical Physics||Volume:||39||Issue:||11||First page:||5866||Last page:||5869||Issue Date:||1-Jan-1998||Rank:||M22||ISSN:||0022-2488||DOI:||10.1063/1.532600||Abstract:||
The analytical condition for a trajectory of the billiard system within an ellipsoid of any dimension is given. An interesting property is obtained - every periodical trajectory with the period less than the dimension of the space is placed in a coordinate hyperplane.
|Publisher:||American Institute of Physics|
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