On the regular reduction of the \(n\)-dimensional problem of \(N+1\) bodies to Euler-Poincaré equations on the Lie algebra \(sp(2N)\)

DOI10.1070/RD2002v007n03ABEH000216zbMath1011.70011MaRDI QIDQ1860563

S. T. Sadetov

Publication date: 24 February 2003

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/158500

zbMATH Keywords

rotationssphereLie groupprojective spacephase space\(n\)-body problemhomogeneous spacereflectionshomotopysymplectic leavescoadjoint representationlinear groupEuler-Poincare equation

Mathematics Subject Classification ID

(n)-body problems (70F10) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

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