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Record Nr. |
UNINA9910788734503321 |
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Autore |
McCord Christopher Keil |
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Titolo |
The integral manifolds of the three body problem / / Christopher K. McCord, Kenneth R. Meyer, Quidong Wang |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 1998 |
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ISBN |
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Descrizione fisica |
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1 online resource (106 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 628 |
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Disciplina |
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Soggetti |
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Three-body problem |
Celestial mechanics |
Manifolds (Mathematics) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"March 1998, volume 132, number 628 (fourth of 5 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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"" |
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