Periodic Solutions of the NBody Problem
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The work Periodic Solutions of the NBody Problem represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Periodic Solutions of the NBody Problem
Resource Information
The work Periodic Solutions of the NBody Problem represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Periodic Solutions of the NBody Problem
 Statement of responsibility
 by Kenneth R. Meyer
 Language

 eng
 eng
 Summary
 The Nbody problem is the classical prototype of a Hamiltonian system with a large symmetry group and many first integrals. These lecture notes are an introduction to the theory of periodic solutions of such Hamiltonian systems. From a generic point of view the Nbody problem is highly degenerate. It is invariant under the symmetry group of Euclidean motions and admits linear momentum, angular momentum and energy as integrals. Therefore, the integrals and symmetries must be confronted head on, which leads to the definition of the reduced space where all the known integrals and symmetries have been eliminated. It is on the reduced space that one can hope for a nonsingular Jacobian without imposing extra symmetries. These lecture notes are intended for graduate students and researchers in mathematics or celestial mechanics with some knowledge of the theory of ODE or dynamical system theory. The first six chapters develops the theory of Hamiltonian systems, symplectic transformations and coordinates, periodic solutions and their multipliers, symplectic scaling, the reduced space etc. The remaining six chapters contain theorems which establish the existence of periodic solutions of the Nbody problem on the reduced space
 Dewey number

 510 s
 530.14/4
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 P13aTBrVaTQ
 Image bit depth
 0
 Language note
 English
 LC call number
 QA614614.97
 Literary form
 non fiction
 Series statement
 Lecture Notes in Mathematics,
 Series volume
 1719
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