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The Dynamics of Small Bodies in the Solar System

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Cover of 'The Dynamics of Small Bodies in the Solar System'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Introduction
  3. Altmetric Badge
    Chapter 2 On High-Eccentricity Small-Amplitude Asteroidal Librations
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    Chapter 3 A Symplectic Mapping Approach for the Study of Stochasticity in Three Dimensional Asteroidal Resonances
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    Chapter 4 Chaotic Diffusion in the 2/1, 3/2 and 4/3 Jovian Resonances
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    Chapter 5 On the Similarities and Differences Between 3/2 and 2/1 Asteroidal Resonances
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    Chapter 6 A Study of Chaos in the Asteroid Belt
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    Chapter 7 Hopping in the Kuiper Belt and Significance of the 2:3 Resonance
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    Chapter 8 The Solar System Beyond Neptune
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    Chapter 9 Dynamical Study of Trans-Neptunian Objects at the 2:3 Resonance
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    Chapter 10 Superosculating Intermediate Orbits and their Application in the Problem of Investigation of the Motion of Asteroids and Comets
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    Chapter 11 Tests of General Relativity Using Small Bodies of the Solar System
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    Chapter 12 Introduction
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    Chapter 13 Dynamics of Planet-Crossing Asteroids
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    Chapter 14 Asteroid and Comet Encounters with the Earth
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    Chapter 15 Optimal Low-Thrust Interception and Deflection of Earth-Crossing Asteroids
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    Chapter 16 Secular Resonances: Transport Mechanism to Earth—Crossing Orbits
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    Chapter 17 Meteoroid Streams and Meteor Showers
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    Chapter 18 Planetary Close Encounters: The Engine of Cometary Orbital Evolution
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    Chapter 19 Galactic Perturbations in the Motion of Comets
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    Chapter 20 Introduction
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    Chapter 21 Orbits of Saturn’s Satellites: Some Aspects of Commensurabilities and Periodic Orbits
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    Chapter 22 How Ideal is the Mimas-Tethys Resonance?
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    Chapter 23 The Dynamics of Planetary Rings and Small Satellites
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    Chapter 24 Long-Term Evolution of Coorbital Motion
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    Chapter 25 Stability of Perturbed Coorbital Satellites
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    Chapter 26 Instability and Chaotic Motion for Some Fictitious Satellites of Venus and Mars
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    Chapter 27 Applications of a High Order Secular Perturbation Theory
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    Chapter 28 Non—Integrability of the Motion of a Point Mass around a Planet of Arbitrary Shape
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    Chapter 29 Dynamics of Satellites with Multi-Day Periods
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    Chapter 30 Translunar Halo Orbits in the Quasibicircular Problem
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    Chapter 31 Problems Connected with the Rotational Dynamics of Celestial Bodies
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    Chapter 32 Closed Form Expressions for Some Gravitational Potentials
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    Chapter 33 Orbital Elements of a Satellite Moving in the Potential of a Hemispherical Shell
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    Chapter 34 Introduction
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    Chapter 35 Some Special Solutions of the Four-Body Problem
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    Chapter 36 Some Equal Mass Four-Body Equilibrium Configurations: Linear Stability Analysis
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    Chapter 37 The Finite-Time Stability Method Applied to Planets of Binary Stars
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    Chapter 38 Dynamics and Stability of Three-Body Systems
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    Chapter 39 New Numerical Method for Non-Conservative Systems
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    Chapter 40 Tidal Friction in Triple Systems: A Means of Producing Close Stellar and Planetary Orbits
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    Chapter 41 Special Version of the Three Body Problem
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    Chapter 42 Bifurcations in the Mass Ratio of the Planar Isosceles Three-Body Problem
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    Chapter 43 Introduction
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    Chapter 44 Dynamical Spectra
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    Chapter 45 Angular Dynamical Spectra and their Applications
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    Chapter 46 Weak Chaos and Diffusion in Hamiltonian Systems
  48. Altmetric Badge
    Chapter 47 On the Relationship between Local Lyapunov Characteristic Numbers, Largest Eigenvalues and Maximum Stretching Parameters
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    Chapter 48 “Stickiness” in Dynamical Systems
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    Chapter 49 Distribution of Periodic Orbits in 2-D Hamiltonian Systems
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    Chapter 50 The Many Faces of Dynamical Instability
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    Chapter 51 The Many Faces of Dynamical Instability
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    Chapter 52 Scale Relativity in the Solar System
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    Chapter 53 Possible Cosmological Origin of Counterrotating Galaxies
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    Chapter 54 Gylden-Like Systems and DEF-Mappings
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    Chapter 55 Uniform Development of a TR-Transformation to Generalized Universal Variables
  57. Altmetric Badge
    Chapter 56 Future Planetary Missions
Attention for Chapter 6: A Study of Chaos in the Asteroid Belt
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Chapter title
A Study of Chaos in the Asteroid Belt
Chapter number 6
Book title
The Dynamics of Small Bodies in the Solar System
Published by
Springer, Dordrecht, January 1999
DOI 10.1007/978-94-015-9221-5_6
Book ISBNs
978-9-04-815133-2, 978-9-40-159221-5
Authors

M. Šidlichovský, D. Nesvorný, Šidlichovský, M., Nesvorný, D.