دانلود کتاب The Restricted 3-Body Problem: Plane Periodic Orbits

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Preface
Basic notation
Introduction
Part I. Mathematical means
Chapter I. The normal form of a Hamiltonian system
1 The normal form of a linear system
2 Nonlinear normalization
3 Lowering the number of degrees of freedom
4 Periodic and conditionally-periodic solutions
5 Generalizations
6 Notes
Chapter II. Normalization of a Hamiltonian system near a cycle or a torus
1 The normal form of a linear Hamiltonian system with periodic coefficients
2 The normal form in a neighbourhood of a periodic solution
3 The neighbourhood of an invariant torus
4 A system with two degrees of freedom
5 Notes
Part II. Solutions of the limiting problem (μ = 0)
Chapter III. Periodic solutions and arc solutions
1 Formulation of the restricted three-body problem
2 The two-body problem
3 The restricted three-body problem for μ = 0
4 Notes
Chapter IV. Properties of arc solutions of the families S and TN
1 Orbits of the families S
2 The structure of the set of characteristics of the families S and TN
3 Values of the Jacobian constant
4 Notes
Chapter V. Extrema of the Hamiltonian function on families of arc solutions
1 The function G
2 Partial derivatives of the function G
3 Classification of the segments of the characteristics
4 Estimation of the number of intersections of a segment of a characteristic with a level line of the function G
5 The domain ρ3
6 Conclusion
Chapter VI. Trajectories of collisions
1 The problem of two bodies P1 and P3
2 Trajectories of collision with P2
3 Arc solutions with consecutive collisions
4 Isolation of critical solutions
5 Notes
Part III. Regular generating solutions
Chapter VII. Solutions of the second kind
1 Sets of periodic solutions
2 The restricted three-body problem
3 Averaging of the perturbing function
4 Computation of generating families
5 Concerning the programs
6 Other properties of the families EN
7 Limits of generating families
8 Conditionally-periodic solutions of the second kind
9 Notes
Chapter VIII. Solutions of the first kind
1 Reduction to the normal form
2 Integration of the normal form for rational λ = p̃̃/q̃̃
3 Application to the restricted problem
4 Conclusion
5 The neighbourhood of stationary points
6 Notes
Chapter IX. Generating arc solutions from C¯1C¯1
1 Generating solutions of collisions with P1
2 Computation of families of generating arc solutions
3 Asymptotics of families of generating arc solutions
4 Concerning periodic solutions with collisions
5 Notes
Chapter X. Perturbations of hyperbolic orbits
1 The normal form
2 Application to the restricted problem
3 Notes
Appendix. Tables of generating families and their perturbations
Bibliography
Author index
Subject index