05305nam 2200709Ia 450 991096799330332120251116231633.09786611934569978128193456712819345699789812794628981279462X(CKB)1000000000538109(EBL)1679696(OCoLC)262620003(SSID)ssj0000142029(PQKBManifestationID)11158138(PQKBTitleCode)TC0000142029(PQKBWorkID)10090967(PQKB)10350616(MiAaPQ)EBC1679696(WSP)00004337(Au-PeEL)EBL1679696(CaPaEBR)ebr10255549(Perlego)847903(EXLCZ)99100000000053810920000629d2001 uy 0engur|n|---|||||txtccrDynamics and mission design near libration pointsVolume 3Advanced methods for collinear points /G. Gomez ... [et al.]1st ed.Singapore ;River Edge, NJ World Scientificc20011 online resource (203 p.)World scientific monograph series in mathematics ;4Description based upon print version of record.9789810242114 9810242115 Includes bibliographical references.Contents ; Preface ; Chapter 1 Quasi-periodic Solutions Near the Equilateral Points of the Earth-Moon System ; 1.1 Introduction ; 1.2 Idea of the Resolution Method ; 1.3 The Algebraic Manipulator ; 1.4 The Newton Method ; 1.5 The Program ; 1.6 Results of the Algebraic Manipulator1.7 Numerical Refinement 1.8 The Neighbourhood of the Computed Nearly Quasi-periodic Solution ; 1.9 Problems and Extensions ; Chapter 2 Global Description of the Orbits Near the L1 Point of the Earth-Sun System in the RTBP ; 2.1 Introduction ; 2.2 The Equations of Motion2.3 Formal Series Solutions 2.4 On the Convergence of the Series ; 2.5 Towards a Description of the Neighbourhood of L1 ; 2.6 Discussion on the Use of Lissajous Orbits ; 2.7 Effective Reduction to the Central Manifold ; 2.8 Conclusions ; Chapter 3 Quasi-periodic Halo Orbits3.1 Numerical Refinement 3.2 Main Program and Basic Routines ; 3.3 The Equations of Motion for the Simulations of the Control ; 3.4 The Effect of Errors ; 3.5 When a Control is Applied ; 3.6 Magnitudes Related to the Control ; 3.7 Description of the Program ; 3.8 Numerical ResultsChapter 4 Transfer From the Earth to a Halo Orbit 4.1 Introduction ; 4.2 Local Approximation of the Stable Manifold ; 4.3 Globalization of the Manifold ; 4.4 Selecting Passages Near the Earth ; 4.5 Ranges in the Manifold Suited for the Transfer4.6 Characteristics of the Orbits Near the Earth This book studies several problems related to the analysis of planned or possible spacecraft missions. It is divided into four chapters. The first chapter is devoted to the computation of quasiperiodic solutions for the motion of a spacecraft near the equilateral points of the Earth-Moon system. The second chapter gives a complete description of the orbits near the collinear point, <i>L</i>1, between the Earth and the Sun in the restricted three-body problem (RTBP) model. In the third chapter, methods are developed to compute the nominal orbit and to design and test the control strategy for tWorld Scientific monograph series in mathematics ;4.Three-body problemLagrangian pointsThree-body problem.Lagrangian points.521.3Gómez G(Gerard)878196MiAaPQMiAaPQMiAaPQBOOK9910967993303321Dynamics and mission design near libration points4537271UNINA