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The Resource Periodic Solutions of the NBody Problem, by Kenneth R. Meyer, (electronic resource)
Periodic Solutions of the NBody Problem, by Kenneth R. Meyer, (electronic resource)
Resource Information
The item Periodic Solutions of the NBody Problem, by Kenneth R. Meyer, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Periodic Solutions of the NBody Problem, by Kenneth R. Meyer, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 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
 Language
 eng
 Extent
 XIV, 154 p.
 Contents

 Equations of celestial mechanics
 Hamiltonian systems
 Central configurations
 Symmetries, integrals, and reduction
 Theory of periodic solutions
 Satellite orbits
 The restricted problem
 Lunar orbits
 Comet orbits
 Hill’s lunar equations
 The elliptic problem
 Isbn
 9783540480730
 Label
 Periodic Solutions of the NBody Problem
 Title
 Periodic Solutions of the NBody Problem
 Statement of responsibility
 by Kenneth R. Meyer
 Language
 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
 http://library.link/vocab/creatorName
 Meyer, Kenneth R
 Image bit depth
 0
 LC call number
 QA614614.97
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName
 SpringerLink
 Series statement
 Lecture Notes in Mathematics,
 Series volume
 1719
 http://library.link/vocab/subjectName

 Mathematics
 Global analysis
 Mathematics
 Global Analysis and Analysis on Manifolds
 Label
 Periodic Solutions of the NBody Problem, by Kenneth R. Meyer, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Equations of celestial mechanics  Hamiltonian systems  Central configurations  Symmetries, integrals, and reduction  Theory of periodic solutions  Satellite orbits  The restricted problem  Lunar orbits  Comet orbits  Hill’s lunar equations  The elliptic problem
 Dimensions
 unknown
 Extent
 XIV, 154 p.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783540480730
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/BFb0094677
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783540480730
 Label
 Periodic Solutions of the NBody Problem, by Kenneth R. Meyer, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Equations of celestial mechanics  Hamiltonian systems  Central configurations  Symmetries, integrals, and reduction  Theory of periodic solutions  Satellite orbits  The restricted problem  Lunar orbits  Comet orbits  Hill’s lunar equations  The elliptic problem
 Dimensions
 unknown
 Extent
 XIV, 154 p.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783540480730
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/BFb0094677
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783540480730
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/PeriodicSolutionsoftheNBodyProblemby/2DYUumzRpHA/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/PeriodicSolutionsoftheNBodyProblemby/2DYUumzRpHA/">Periodic Solutions of the NBody Problem, by Kenneth R. Meyer, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>