LEADER 03199nam 2200601 450 001 9910820698503321 005 20170822134804.0 010 $a1-4704-0217-3 035 $a(CKB)3360000000464812 035 $a(EBL)3114587 035 $a(SSID)ssj0000889000 035 $a(PQKBManifestationID)11465751 035 $a(PQKBTitleCode)TC0000889000 035 $a(PQKBWorkID)10876177 035 $a(PQKB)11774621 035 $a(MiAaPQ)EBC3114587 035 $a(RPAM)1183228 035 $a(PPN)195415124 035 $a(EXLCZ)993360000000464812 100 $a19971112d1998 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe integral manifolds of the three body problem /$fChristopher K. McCord, Kenneth R. Meyer, Quidong Wang 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d1998. 215 $a1 online resource (106 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 628 300 $a"March 1998, volume 132, number 628 (fourth of 5 numbers)." 311 $a0-8218-0692-0 320 $aIncludes bibliographical references. 327 $a""Contents""; ""Chapter 1. Introduction""; ""1. The integrals and manifolds""; ""2. History of the problem""; ""3. Summary of results ""; ""Chapter 2. The Decomposition of the Spaces""; ""1. The spaces and maps""; ""2. The geometry of the sets""; ""Chapter 3. The Cohomology""; ""1. The cohomology of k[sub(R)](c,h)""; ""2. The cohomology of k(c,h)""; ""3. The homeomorphism type of h(c,h) and h[sub(R)](c,h)""; ""4. The cohomology of m[sub(R)](c,h)""; ""5. The cohomology of m(c,h)""; ""Chapter 4. The analysis of k(c,h) for equal masses"" 327 $a""1. y[sub(1)][sup(2)] + y[sub(2)][sup(2)] as function of I??,I?? for equal masses""""2. The semi-minor axis of the ellipse for equal masses""; ""3. The graphs of Z = f(X) and Z = g(X) for equal masses""; ""4. The semi- major axis of the ellipse for equal masses""; ""5. The feasible region c(c, h)""; ""6. k[sub(R)](c,h) for equal masses""; ""7. Orientation in k(c,h)""; ""8. Positive energy""; ""Chapter 5. The analysis of k(c,h) for general masses""; ""1. y[sub(1)][sup(2)] + y[sub(2)][sup(2)] as function of I??,I?? for general masses""; ""2. The semi-minor axis of the ellipse"" 327 $a""3. The graph of Z = f(X) and Z = g(X) for general masses""""4. The semi-major axis of the ellipse for unequal masses""; ""5. k[sub(R)](c,h) for unequal masses""; ""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 628. 606 $aThree-body problem 606 $aCelestial mechanics 606 $aManifolds (Mathematics) 615 0$aThree-body problem. 615 0$aCelestial mechanics. 615 0$aManifolds (Mathematics) 676 $a521 700 $aMcCord$b Christopher Keil$060434 702 $aMeyer$b Kenneth R$g(Kenneth Ray),$f1937- 702 $aWang$b Quidong 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910820698503321 996 $aThe integral manifolds of the three body problem$93995629 997 $aUNINA