01769nam 2200349 n 450 99638768290331620200824120505.0(CKB)1000000000627182(EEBO)2240886327(UnM)99843067e(UnM)99843067(EXLCZ)99100000000062718219910619d1625 uy |engurbn||||a|bb|The Dutch suruay[electronic resource] VVherein are related and truly discoursed, the chiefest losses and acquirements, which haue past betweene the Dutch and the Spaniards, in these last foure yeares warres of the Netherlands, with a comparatiue ballancing and estimation of that which the Spaniards haue got in the Dutchies of Cleeue and Iuliers, with that which they haue lost vnto the Dutch and Persians, in Brasilia, Lima, and Ormus. VVhereunto are annext the Mansfeldian motiues, directed vnto all colonels, lieuzanant-colonels, sergeant majors, priuate captaines, inferiour officers, and souldiers, whose seruice is engag'd in this present expedition, vnder the conduct and commaund of the most illustrious Prince Ernestus, Earle of MansfieldAt London Printed by Edward All-de, for Nathaniel Butter1625[8], 36 pSometimes attributed to William Crosse.Reproduction of the original in the British Library.eebo-0018NetherlandsHistoryWars of Independence, 1556-1648Early works to 1800W. C1001597Crosse Williamb. 1589 or 90,Cu-RivESCu-RivESCStRLINWaOLNBOOK996387682903316The Dutch suruay2364418UNISA03473nam 22006255 450 991014631270332120250730104742.03-540-48073-010.1007/BFb0094677(CKB)1000000000437294(SSID)ssj0000325600(PQKBManifestationID)12068807(PQKBTitleCode)TC0000325600(PQKBWorkID)10325091(PQKB)11513190(DE-He213)978-3-540-48073-0(MiAaPQ)EBC5577464(Au-PeEL)EBL5577464(OCoLC)1066182046(MiAaPQ)EBC6853125(Au-PeEL)EBL6853125(PPN)155216244(EXLCZ)99100000000043729420121227d1999 u| 0engurnn#008mamaatxtccrPeriodic Solutions of the N-Body Problem /by Kenneth R. Meyer1st ed. 1999.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,1999.1 online resource (XIV, 154 p.)Lecture Notes in Mathematics,1617-9692 ;1719Bibliographic Level Mode of Issuance: Monograph3-540-66630-3 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.The N-body 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 N-body 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 N-body problem on the reduced space.Lecture Notes in Mathematics,1617-9692 ;1719Global analysis (Mathematics)Manifolds (Mathematics)Global Analysis and Analysis on ManifoldsGlobal analysis (Mathematics)Manifolds (Mathematics)Global Analysis and Analysis on Manifolds.514.7458F05mscMeyer Kenneth R(Kenneth Ray),1937-59481MiAaPQMiAaPQMiAaPQBOOK9910146312703321Periodic solutions of the N-body problem78790UNINA