The Dynamics of Small Bodies in the Solar System: A Major Key to Solar Systems Studies

Front Matter....Pages i-xiv
Introduction....Pages 1-5
On High-Eccentricity Small-Amplitude Asteroidal Librations....Pages 7-12
A Symplectic Mapping Approach for the Study of Stochasticity in Three Dimensional Asteroidal Resonances....Pages 13-18
Chaotic Diffusion in the 2/1, 3/2 and 4/3 Jovian Resonances....Pages 19-24
On the Similarities and Differences Between 3/2 and 2/1 Asteroidal Resonances....Pages 25-30
A Study of Chaos in the Asteroid Belt....Pages 31-36
Hopping in the Kuiper Belt and Significance of the 2:3 Resonance....Pages 37-49
The Solar System Beyond Neptune....Pages 51-64
Dynamical Study of Trans-Neptunian Objects at the 2:3 Resonance....Pages 65-70
Superosculating Intermediate Orbits and their Application in the Problem of Investigation of the Motion of Asteroids and Comets....Pages 71-76
Tests of General Relativity Using Small Bodies of the Solar System....Pages 77-92
Introduction....Pages 93-94
Dynamics of Planet-Crossing Asteroids....Pages 95-126
Asteroid and Comet Encounters with the Earth....Pages 127-158
Optimal Low-Thrust Interception and Deflection of Earth-Crossing Asteroids....Pages 159-169
Secular Resonances: Transport Mechanism to Earth—Crossing Orbits....Pages 171-177
Meteoroid Streams and Meteor Showers....Pages 179-185
Planetary Close Encounters: The Engine of Cometary Orbital Evolution....Pages 187-196
Galactic Perturbations in the Motion of Comets....Pages 197-202
Introduction....Pages 203-206
Orbits of Saturn’s Satellites: Some Aspects of Commensurabilities and Periodic Orbits....Pages 207-225
How Ideal is the Mimas-Tethys Resonance?....Pages 227-232
The Dynamics of Planetary Rings and Small Satellites....Pages 233-256
Long-Term Evolution of Coorbital Motion....Pages 257-276
Stability of Perturbed Coorbital Satellites....Pages 277-282
Instability and Chaotic Motion for Some Fictitious Satellites of Venus and Mars....Pages 283-288
Applications of a High Order Secular Perturbation Theory....Pages 289-294
Non—Integrability of the Motion of a Point Mass around a Planet of Arbitrary Shape....Pages 295-302
Dynamics of Satellites with Multi-Day Periods....Pages 303-307
Translunar Halo Orbits in the Quasibicircular Problem....Pages 309-314
Problems Connected with the Rotational Dynamics of Celestial Bodies....Pages 315-320
Closed Form Expressions for Some Gravitational Potentials....Pages 321-340
Orbital Elements of a Satellite Moving in the Potential of a Hemispherical Shell....Pages 341-348
Introduction....Pages 349-350
Some Special Solutions of the Four-Body Problem....Pages 351-372
Some Equal Mass Four-Body Equilibrium Configurations: Linear Stability Analysis....Pages 373-378
The Finite-Time Stability Method Applied to Planets of Binary Stars....Pages 379-384
Dynamics and Stability of Three-Body Systems....Pages 385-392
New Numerical Method for Non-Conservative Systems....Pages 393-398
Tidal Friction in Triple Systems: A Means of Producing Close Stellar and Planetary Orbits....Pages 399-406
Special Version of the Three Body Problem....Pages 407-412
Bifurcations in the Mass Ratio of the Planar Isosceles Three-Body Problem....Pages 413-424
Introduction....Pages 425-428
Dynamical Spectra....Pages 429-454
Angular Dynamical Spectra and their Applications....Pages 455-462
Weak Chaos and Diffusion in Hamiltonian Systems....Pages 463-502
On the Relationship between Local Lyapunov Characteristic Numbers, Largest Eigenvalues and Maximum Stretching Parameters....Pages 503-508
“Stickiness” in Dynamical Systems....Pages 509-534
Distribution of Periodic Orbits in 2-D Hamiltonian Systems....Pages 535-544
The Many Faces of Dynamical Instability....Pages 545-550
The Many Faces of Dynamical Instability....Pages 551-556
Scale Relativity in the Solar System....Pages 557-563
Possible Cosmological Origin of Counterrotating Galaxies....Pages 565-574
Gylden-Like Systems and DEF-Mappings....Pages 575-580
Uniform Development of a TR-Transformation to Generalized Universal Variables....Pages 581-586
Future Planetary Missions....Pages 587-593
Back Matter....Pages 595-616