LEADER 05230nam 2200661Ia 450 001 9910453184103321 005 20200520144314.0 010 $a1-281-93456-9 010 $a9786611934569 010 $a981-279-462-X 035 $a(CKB)1000000000538109 035 $a(EBL)1679696 035 $a(OCoLC)262620003 035 $a(SSID)ssj0000142029 035 $a(PQKBManifestationID)11158138 035 $a(PQKBTitleCode)TC0000142029 035 $a(PQKBWorkID)10090967 035 $a(PQKB)10350616 035 $a(MiAaPQ)EBC1679696 035 $a(WSP)00004337 035 $a(Au-PeEL)EBL1679696 035 $a(CaPaEBR)ebr10255549 035 $a(EXLCZ)991000000000538109 100 $a20000629d2001 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aDynamics and mission design near libration points$hVolume 3$iAdvanced methods for collinear points$b[electronic resource] /$fG. Go?mez ... [et al.] 210 $aSingapore ;$aRiver Edge, NJ $cWorld Scientific$dc2001 215 $a1 online resource (203 p.) 225 1 $aWorld scientific monograph series in mathematics ;$v4 300 $aDescription based upon print version of record. 311 $a981-02-4211-5 320 $aIncludes bibliographical references. 327 $aContents ; 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 Manipulator 327 $a1.7 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 Motion 327 $a2.3 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 Orbits 327 $a3.1 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 Results 327 $aChapter 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 Transfer 327 $a4.6 Characteristics of the Orbits Near the Earth 330 $a This book studies several problems related to the analysis of planned or possible spacecraft missions. It is divided into four chapters. The first chapter is devoted to the computation of quasiperiodic solutions for the motion of a spacecraft near the equilateral points of the Earth-Moon system. The second chapter gives a complete description of the orbits near the collinear point, L1, between the Earth and the Sun in the restricted three-body problem (RTBP) model. In the third chapter, methods are developed to compute the nominal orbit and to design and test the control strategy for t 410 0$aWorld Scientific monograph series in mathematics ;$v4. 606 $aThree-body problem 606 $aLagrangian points 608 $aElectronic books. 615 0$aThree-body problem. 615 0$aLagrangian points. 676 $a521.3 701 $aGo?mez$b G$g(Gerard)$0878196 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910453184103321 996 $aDynamics and mission design near libration points$91960521 997 $aUNINA