↓ Skip to main content

From Newton to Chaos

Overview of attention for book
Cover of 'From Newton to Chaos'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Poincaré’s Contributions to Chance and Chaos
  3. Altmetric Badge
    Chapter 2 Perturbation Theory: Techniques and Limitations
  4. Altmetric Badge
    Chapter 3 Quantitative Methods in Classical Perturbation Theory
  5. Altmetric Badge
    Chapter 4 Jacobi Geometry and Chaos in N-Body Systems
  6. Altmetric Badge
    Chapter 5 Proper Elements and Stable Chaos
  7. Altmetric Badge
    Chapter 6 Mechanisms of Generation of Chaos in the Solar System
  8. Altmetric Badge
    Chapter 7 On the Convergence of the Disturbing Function
  9. Altmetric Badge
    Chapter 8 Improving the Classical Expansion of the Disturbing Function
  10. Altmetric Badge
    Chapter 9 The Great Inequality in a Hamiltonian Planetary Theory
  11. Altmetric Badge
    Chapter 10 Stability Over Exponentially Long Times in the Planetary Problem
  12. Altmetric Badge
    Chapter 11 Interlude
  13. Altmetric Badge
    Chapter 12 From Order to Chaos: Clustering and Diffusion Processes for Small Bodies in Solar System
  14. Altmetric Badge
    Chapter 13 Depletion of the Asteroid Belt at Resonances
  15. Altmetric Badge
    Chapter 14 On the Depletion of the Outer Asteroid Belt
  16. Altmetric Badge
    Chapter 15 The Chaotic Zone Connected with the 5/2 Mean Motion Resonance
  17. Altmetric Badge
    Chapter 16 The Influence of Chaos on the Evolution of the Minor Bodies of the Solar System
  18. Altmetric Badge
    Chapter 17 Project Criss-Cross: A Preliminary Analysis
  19. Altmetric Badge
    Chapter 18 Meteoroid Stream Dynamics
  20. Altmetric Badge
    Chapter 19 Interlude From Newton’s Adjustable Clock To Poincaré’s Chaos
  21. Altmetric Badge
    Chapter 20 Chaotic Motion in Hill’s Lunar Problem
  22. Altmetric Badge
    Chapter 21 Hunting for Periodic Orbits Close to that of the Moon in the Restricted Circular Three-Body Problem
  23. Altmetric Badge
    Chapter 22 Orbital Elements of a Satellite Moving in the Potential of an Oblate Spheroid
  24. Altmetric Badge
    Chapter 23 Integrability and Chaos in the Classical 2-Centre Field and Its J 2 -Approximation
  25. Altmetric Badge
    Chapter 24 Analytic Non-Integrability and the J 2 -Problem
  26. Altmetric Badge
    Chapter 25 Guidelines for a General Treatment of the J 2 Problem in DS Variables with True-Anomaly Type Fictitious Time
  27. Altmetric Badge
    Chapter 26 Second Order Perturbations Due to the Gravity Potential of a Planet
  28. Altmetric Badge
    Chapter 27 Perturbation Expansions Around Elliptic Fixed Points in the Spin-Orbit Problem
  29. Altmetric Badge
    Chapter 28 Moment Formalism for the Radiative Force Evaluation
  30. Altmetric Badge
    Chapter 29 Optimization of Spacecraft Trajectories Using Nonlinear Programming
  31. Altmetric Badge
    Chapter 30 Order Out of Chaos in the Three-Body Problem: Regions of Escape
  32. Altmetric Badge
    Chapter 31 Chaos in the Hyperbolic Restricted 3-Body Problem
  33. Altmetric Badge
    Chapter 32 Types of Motion and Stability of Hierarchical Triple Star Systems
  34. Altmetric Badge
    Chapter 33 On the Role of the Moment of Inertia in Three-Body Scattering
  35. Altmetric Badge
    Chapter 34 The Bicircular Model Near the Triangular Libration Points of the RTBP
  36. Altmetric Badge
    Chapter 35 Non-Linear Stability Zones Around the Triangular Lagrangian Points
  37. Altmetric Badge
    Chapter 36 An Investigation of Orbits Around the Triangular Lagrangian Points of Saturn
  38. Altmetric Badge
    Chapter 37 Collision Orbits in the Isosceles Rectilinear Restricted Problem
  39. Altmetric Badge
    Chapter 38 Asymptotic Orbits as Terminations of Families of Periodic Orbits in the Copenhagen Problem with and without Radiation Pressure
  40. Altmetric Badge
    Chapter 39 A Typical Family FII of Symmetric and Periodic Orbits of Charged Particles Moving in the Plane of Motion of Two Parallel Rotating Magnetic Dipoles
  41. Altmetric Badge
    Chapter 40 Interlude
  42. Altmetric Badge
    Chapter 41 Order in Chaos
  43. Altmetric Badge
    Chapter 42 Chaos as the True Source of the Irreversibility of Time
  44. Altmetric Badge
    Chapter 43 Representation and Classification of Dynamical Systems
  45. Altmetric Badge
    Chapter 44 Analytic Hamiltonian Systems, the Vicinity of a Periodic Solution
  46. Altmetric Badge
    Chapter 45 Complex Instability
  47. Altmetric Badge
    Chapter 46 Inverse Problems Leading To Integrable Systems
  48. Altmetric Badge
    Chapter 47 The Observer-New Method for Numerical Integration of Differential Equations in the Presence of First Integrals
  49. Altmetric Badge
    Chapter 48 Analytical Approximations For Sitnikov’s Problem
  50. Altmetric Badge
    Chapter 49 Elementary Derivation of Hopf Type Bifurcation Formulas
  51. Altmetric Badge
    Chapter 50 Chaotic Scattering in the Gaussian Potential
  52. Altmetric Badge
    Chapter 51 Stochastic Motion in a Central Field with a Weak Non—Rotating Bar Perturbation
  53. Altmetric Badge
    Chapter 52 A Note on the Canonical Character of the Stiefel-Scheifele Time Element
  54. Altmetric Badge
    Chapter 53 Fractal Structures In Self-Gravitating Cosmological Flows
  55. Altmetric Badge
    Chapter 54 Quaternionic Generalisation of the Mandelbrot Set
Overall attention for this book and its chapters
Altmetric Badge

Mentioned by

blogs
3 blogs
twitter
1 X user

Citations

dimensions_citation
8 Dimensions

Readers on

mendeley
9 Mendeley
You are seeing a free-to-access but limited selection of the activity Altmetric has collected about this research output. Click here to find out more.
Title
From Newton to Chaos
Published by
Springer US, June 2013
DOI 10.1007/978-1-4899-1085-1
ISBNs
978-1-4899-1087-5, 978-1-4899-1085-1
Editors

Roy, Archie E., Steves, Bonnie A.

X Demographics

X Demographics

The data shown below were collected from the profile of 1 X user who shared this research output. Click here to find out more about how the information was compiled.
Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 9 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
China 1 11%
Unknown 8 89%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 4 44%
Student > Doctoral Student 2 22%
Student > Master 1 11%
Researcher 1 11%
Professor > Associate Professor 1 11%
Other 0 0%
Readers by discipline Count As %
Engineering 6 67%
Mathematics 1 11%
Physics and Astronomy 1 11%
Earth and Planetary Sciences 1 11%