03830nam 2200661Ia 450 991045318560332120200520144314.01-281-95630-99786611956301981-281-064-1(CKB)1000000000538103(EBL)1679700(OCoLC)879023996(SSID)ssj0000142027(PQKBManifestationID)11157858(PQKBTitleCode)TC0000142027(PQKBWorkID)10091038(PQKB)10566746(MiAaPQ)EBC1679700(WSP)00004392(Au-PeEL)EBL1679700(CaPaEBR)ebr10255506(EXLCZ)99100000000053810320000629d2001 uy 0engurcn|||||||||txtccrDynamics and mission design near libration pointsVolume 2Fundamentals : the case of triangular libration points[electronic resource] /G. Gómez ... [et al.]Singapore ;River Edge, NJ World Scientificc20011 online resource (159 p.)World scientific monograph series in mathematics ;3Description based upon print version of record.981-02-4274-3 Includes bibliographical references.Contents; Preface; Chapter 1 Bibliographical Survey; 1.1 Equations. The Triangular Equilibrium Points and their Stability; 1.2 Numerical Results for the Motion Around L4 and L5 ; 1.3 Analytical Results for the Motion Around L4 and L5; 1.3.1 The Models Used1.4 Miscellaneous Results 1.4.1 Station Keeping at the Triangular Equilibrium Points; 1.4.2 Some Other Results; Chapter 2 Periodic Orbits of the Bicircular Problem and Their Stability; 2.1 Introduction; 2.2 The Equations of the Bicircular Problem2.3 Periodic Orbits with the Period of the Sun 2.4 The Tools: Numerical Continuation of Periodic Orbits and Analysis of Bifurcations; 2.4.1 Numerical Continuation of Periodic Orbits for Nonautonomous and Autonomous Equations2.4.2 Bifurcations of Periodic Orbits: From the Autonomous to the Nonautonomous Periodic System 2.4.3 Bifurcation for Eigenvalues Equal to One; 2.5 The Periodic Orbits Obtained by TriplicationChapter 3 Numerical Simulations of the Motion in an Extended Neighborhood of the Triangular Libration Points in the Earth-Moon System 3.1 Introduction; 3.2 Simulations of Motion Starting at the Instantaneous Triangular Points at a Given Epoch3.3 Simulations of Motion Starting Near the Planar Periodic Orbit of Kolenkiewicz and CarpenterIt is well known that the restricted three-body problem has triangular equilibrium points. These points are linearly stable for values of the mass parameter, <i>μ</i>, below Routh's critical value, <i>μ</i>1. It is also known that in the spatial case they are nonlinearly stable, not for all the initial conditions in a neighborhood of the equilibrium points <i>L</i>4, <i>L</i>5 but for a set of relatively large measures. This follows from the celebrated Kolmogorov-Arnold-Moser theorem. In fact there are neighborhoods of computable size for which one obtains "practical stability" in the sense tWorld Scientific monograph series in mathematics ;3.Three-body problemLagrangian pointsElectronic books.Three-body problem.Lagrangian points.521.3Gómez G(Gerard)878196MiAaPQMiAaPQMiAaPQBOOK9910453185603321Dynamics and mission design near libration points1960521UNINA