03199nam 2200601 450 991082069850332120170822134804.01-4704-0217-3(CKB)3360000000464812(EBL)3114587(SSID)ssj0000889000(PQKBManifestationID)11465751(PQKBTitleCode)TC0000889000(PQKBWorkID)10876177(PQKB)11774621(MiAaPQ)EBC3114587(RPAM)1183228(PPN)195415124(EXLCZ)99336000000046481219971112d1998 uy| 0engur|n|---|||||txtccrThe integral manifolds of the three body problem /Christopher K. McCord, Kenneth R. Meyer, Quidong WangProvidence, Rhode Island :American Mathematical Society,1998.1 online resource (106 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 628"March 1998, volume 132, number 628 (fourth of 5 numbers)."0-8218-0692-0 Includes bibliographical references.""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""""1. y[sub(1)][sup(2)] + y[sub(2)][sup(2)] as function of Ï?,Ï? 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 Ï?,Ï? for general masses""; ""2. The semi-minor axis of the ellipse""""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""Memoirs of the American Mathematical Society ;no. 628.Three-body problemCelestial mechanicsManifolds (Mathematics)Three-body problem.Celestial mechanics.Manifolds (Mathematics)521McCord Christopher Keil60434Meyer Kenneth R(Kenneth Ray),1937-Wang QuidongMiAaPQMiAaPQMiAaPQBOOK9910820698503321The integral manifolds of the three body problem3995629UNINA