The Resource Periodic solutions of the N-body problem, Kenneth R. Meyer

Periodic solutions of the N-body problem, Kenneth R. Meyer

Label
Periodic solutions of the N-body problem
Title
Periodic solutions of the N-body problem
Statement of responsibility
Kenneth R. Meyer
Creator
Subject
Language
eng
Member of
Cataloging source
DLC
http://library.link/vocab/creatorDate
1937-
http://library.link/vocab/creatorName
Meyer, Kenneth R.
Illustrations
illustrations
Index
index present
LC call number
QA3
LC item number
.L28 no. 1719
Literary form
non fiction
Nature of contents
bibliography
Series statement
Lecture notes in mathematics,
Series volume
1719
http://library.link/vocab/subjectName
  • Hamiltonian systems
  • Many-body problem
  • Sistemas dinamicos
  • Systèmes hamiltoniens
  • Problème des N corps
  • Veel-deeltjes-systemen
  • Periodiciteit
  • Periodische Lösung
  • Hamiltonsches System
  • Vielkörperproblem
  • Problème à N corps
  • Systèmes hamiltoniens
  • Problème à N-corps
  • Système hamiltonian
  • Solution numérique
  • Hamiltonian systems
  • Many-body problem
Label
Periodic solutions of the N-body problem, Kenneth R. Meyer
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. [139]-142) and index
Contents
1. Introduction -- 1.1. History -- 1.2. Global vs. Local Notation -- 2. Equations of Celestial Mechanics -- 2.1. N-Body Problem -- 2.2. The Kepler Problem -- 2.3. Restricted Problem -- 2.4. Hill's Lunar Equations -- 2.5. Elliptic Problem -- 3. Hamiltonian Systems -- 3.1. Hamiltonian Systems -- 3.2. Symplectic Coordinates -- 3.3. Generating Functions -- 3.4. Rotating Coordinates -- 3.5. Jacobi Coordinates -- 3.6. Action-Angle and Polar Coordinates -- 3.7. Solution of the Kepler Problem -- 3.8. Spherical Coordinates -- 3.9. Symplectic Scaling -- 4. Central Configurations -- 4.1. Equilibrium Solutions -- 4.2. Equations for a Central Configuration -- 4.3. Relative Equilibrium -- 4.4. Lagrangian Solutions -- 4.5. Euler-Moulton Solutions -- 4.6. Central Configuration Coordinates -- 5. Symmetries, Integrals, and Reduction -- 5.1. Group Actions and Symmetries -- 5.2. Systems with Integrals -- 5.3. Noether's Theorem -- 5.4. Integrals -- 5.5. Symplectic Reduction -- 5.6. Reducing the N-Body Problem -- 6. Theory of Periodic Solutions -- 6.1. Equilibrium Points -- 6.2. Fixed Points -- 6.3. Periodic Differential Equations -- 6.4. Autonomous Systems -- 6.5. Systems with Integrals -- 6.6. Systems with Symmetries -- 6.7. Hamiltonian Systems with Symmetries -- 7. Satellite Orbits -- 7.1. Main Problem for Satellite Problem -- 8. The Restricted Problem -- 8.1. Main Problem for the Three-Bodies -- 8.2. Continuation of Periodic Solutions -- 8.3. Bifurcations of Periodic Solutions -- 8.4. Main Problem for (N + 1)-Bodies -- 8.5. Reduction -- 9. Lunar Orbits -- 9.1. Main Problem -- 10. Comet Orbits -- 10.1. Jacobi Coordinates and Scaling -- 10.2. Kepler Problem -- 10.3. Main Problem -- 10.4. Reduced Space -- 11. Hill's Lunar Equations -- 11.1. Main Problem -- 12. The Elliptic Problem -- 12.1. Apollonius Coordinates -- 12.2. Relative Equilibrium -- 12.3. Main Problem -- 12.4. Symmetries and Reduction
Dimensions
24 cm.
Extent
ix, 144 p.
Isbn
9783540666301
Isbn Type
(pbk. : acid-free paper)
Lccn
99049591
Other physical details
ill.
System control number
  • (OCoLC)42476079
  • (OCoLC)ocm42476079
Label
Periodic solutions of the N-body problem, Kenneth R. Meyer
Publication
Bibliography note
Includes bibliographical references (p. [139]-142) and index
Contents
1. Introduction -- 1.1. History -- 1.2. Global vs. Local Notation -- 2. Equations of Celestial Mechanics -- 2.1. N-Body Problem -- 2.2. The Kepler Problem -- 2.3. Restricted Problem -- 2.4. Hill's Lunar Equations -- 2.5. Elliptic Problem -- 3. Hamiltonian Systems -- 3.1. Hamiltonian Systems -- 3.2. Symplectic Coordinates -- 3.3. Generating Functions -- 3.4. Rotating Coordinates -- 3.5. Jacobi Coordinates -- 3.6. Action-Angle and Polar Coordinates -- 3.7. Solution of the Kepler Problem -- 3.8. Spherical Coordinates -- 3.9. Symplectic Scaling -- 4. Central Configurations -- 4.1. Equilibrium Solutions -- 4.2. Equations for a Central Configuration -- 4.3. Relative Equilibrium -- 4.4. Lagrangian Solutions -- 4.5. Euler-Moulton Solutions -- 4.6. Central Configuration Coordinates -- 5. Symmetries, Integrals, and Reduction -- 5.1. Group Actions and Symmetries -- 5.2. Systems with Integrals -- 5.3. Noether's Theorem -- 5.4. Integrals -- 5.5. Symplectic Reduction -- 5.6. Reducing the N-Body Problem -- 6. Theory of Periodic Solutions -- 6.1. Equilibrium Points -- 6.2. Fixed Points -- 6.3. Periodic Differential Equations -- 6.4. Autonomous Systems -- 6.5. Systems with Integrals -- 6.6. Systems with Symmetries -- 6.7. Hamiltonian Systems with Symmetries -- 7. Satellite Orbits -- 7.1. Main Problem for Satellite Problem -- 8. The Restricted Problem -- 8.1. Main Problem for the Three-Bodies -- 8.2. Continuation of Periodic Solutions -- 8.3. Bifurcations of Periodic Solutions -- 8.4. Main Problem for (N + 1)-Bodies -- 8.5. Reduction -- 9. Lunar Orbits -- 9.1. Main Problem -- 10. Comet Orbits -- 10.1. Jacobi Coordinates and Scaling -- 10.2. Kepler Problem -- 10.3. Main Problem -- 10.4. Reduced Space -- 11. Hill's Lunar Equations -- 11.1. Main Problem -- 12. The Elliptic Problem -- 12.1. Apollonius Coordinates -- 12.2. Relative Equilibrium -- 12.3. Main Problem -- 12.4. Symmetries and Reduction
Dimensions
24 cm.
Extent
ix, 144 p.
Isbn
9783540666301
Isbn Type
(pbk. : acid-free paper)
Lccn
99049591
Other physical details
ill.
System control number
  • (OCoLC)42476079
  • (OCoLC)ocm42476079

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