LEADER 03830nam 2200661Ia 450 001 9910453185603321 005 20200520144314.0 010 $a1-281-95630-9 010 $a9786611956301 010 $a981-281-064-1 035 $a(CKB)1000000000538103 035 $a(EBL)1679700 035 $a(OCoLC)879023996 035 $a(SSID)ssj0000142027 035 $a(PQKBManifestationID)11157858 035 $a(PQKBTitleCode)TC0000142027 035 $a(PQKBWorkID)10091038 035 $a(PQKB)10566746 035 $a(MiAaPQ)EBC1679700 035 $a(WSP)00004392 035 $a(Au-PeEL)EBL1679700 035 $a(CaPaEBR)ebr10255506 035 $a(EXLCZ)991000000000538103 100 $a20000629d2001 uy 0 101 0 $aeng 135 $aurcn||||||||| 181 $ctxt 182 $cc 183 $acr 200 00$aDynamics and mission design near libration points$hVolume 2$iFundamentals : the case of triangular libration points$b[electronic resource] /$fG. Go?mez ... [et al.] 210 $aSingapore ;$aRiver Edge, NJ $cWorld Scientific$dc2001 215 $a1 online resource (159 p.) 225 1 $aWorld scientific monograph series in mathematics ;$v3 300 $aDescription based upon print version of record. 311 $a981-02-4274-3 320 $aIncludes bibliographical references. 327 $aContents; 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 Used 327 $a1.4 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 Problem 327 $a2.3 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 Equations 327 $a2.4.2 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 Triplication 327 $aChapter 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 Epoch 327 $a3.3 Simulations of Motion Starting Near the Planar Periodic Orbit of Kolenkiewicz and Carpenter 330 $aIt is well known that the restricted three-body problem has triangular equilibrium points. These points are linearly stable for values of the mass parameter, ?, below Routh's critical value, ?1. It is also known that in the spatial case they are nonlinearly stable, not for all the initial conditions in a neighborhood of the equilibrium points L4, L5 but for a set of relatively large measures. This follows from the celebrated Kolmogorov-Arnold-Moser theorem. In fact there are neighborhoods of computable size for which one obtains "practical stability" in the sense t 410 0$aWorld Scientific monograph series in mathematics ;$v3. 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 $a9910453185603321 996 $aDynamics and mission design near libration points$91960521 997 $aUNINA