1.

Record Nr.

UNINA9910820698503321

Autore

McCord Christopher Keil

Titolo

The integral manifolds of the three body problem / / Christopher K. McCord, Kenneth R. Meyer, Quidong Wang

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 1998

ISBN

1-4704-0217-3

Descrizione fisica

1 online resource (106 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 628

Disciplina

521

Soggetti

Three-body problem

Celestial mechanics

Manifolds (Mathematics)

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"March 1998, volume 132, number 628 (fourth of 5 numbers)."

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""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""