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1、ProgressinMathematicalPhysicsVolume51Editors-in-ChiefAnneBoutetdeMonvel,Universit´eParisVIIDenisDiderotGeraldKaiser,CenterforSignalsandWaves,Austin,TXEditorialBoardC.Berenstein,UniversityofMaryland,CollegeParkSirM.Berry,UniversityofBristolP.Blanchard,UniversitatBielefeld¨M.Eastwood,Univers
2、ityofAdelaideA.S.Fokas,UniversityofCambridgeC.Tracy,UniversityofCalifornia,DavisDiarmuidOMath´una´IntegrableSystemsinCelestialMechanicsBirkh¨auserBoston•Basel•BerlinDiarmuidOMath´una´DublinInstituteofAdvancedStudies10,BurlingtonRoadDublin,4.Irelandomathuna@stp.dias.ieISBN-13:978-0-8176-409
3、6-5e-ISBN-13:978-0-8176-4595-3DOI:10.1007/978-0-8176-4595-3LibraryofCongressControlNumber:2008925448MathematicsSubjectClassification(2000):34A05,70-XX,70-02,70F05,70F15,70H06,70M20,85-02c2008BirkhauserBoston,apartofSpringerScience+BusinessMedia,LLC¨Allrightsreserved.Thisworkmaynotbetransla
4、tedorcopiedinwholeorinpartwithoutthewrittenpermissionofthepublisher(Birkh¨auserBoston,c/oSpringerScience+BusinessMedia,LLC,233SpringStreet,NewYork,NY10013,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandre-trieval,elect
5、ronicadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorhereafterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarksandsimilarterms,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubjecttoproprie
6、taryrights.TypesetbyMartinStockinLATEX.Printedonacid-freepaper.987654321www.birkhauser.comIgcuimhnearmothuismitheoir´ı(Tothememoryofmyparents)ContentsPreface............................................................ix0GeneralIntroduction...............................................11La
7、grangianMechanics..............................................211LagrangianSystems...............................................212IgnorableCoordinates.............................................223SeparableSystems...........................................
