Titlebook: New Developments in the Dynamics of Planetary Systems; Proceedings of the F Rudolf Dvorak,Jacques Henrard Conference proceedings 2001 Sprin

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Invariant Tori in the Secular Motions of the Three-Body Planetary Systems, fast angles for the Sun—Jupiter—Saturn system we can prove the perpetual stability of the orbit. The proof is based on semi-numerical algorithms requiring both explicit algebraic manipulations of series and analytical estimates. The proof is made rigorous by using interval arithmetics in order to c

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laceration

The Distribution of Energy Perturbations at Planetary Close Encounters,small bodies and planets. The derivation of this expression highlights a simple geometric structure in the plane containing the planet and perpendicular to the unperturbed planetocentric velocity vector. The analytic formulation reproduces well the results of the numerical integrations that first po

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Dynamics of Small Earth-Approachers on Low-Eccentricity Orbits and Implications for Their Origins,ter-sized objects. Several of these small NEAs are also concentrated on low-eccentricity orbits, where a few larger Earthcrossers are observed, and are called Small Earth-Approachers (SEAs). Their source region as well as the dynamical mechanisms involved in their transport close to the Earth on low

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Why do Trojan ASCs (Not) Escape?,tegrated for 50 Myrs, along with a group of neighbouring initial conditions for each nominal orbit. About 40% of the orbits present strong instabilities in the inclination, which may be attributed primarily to the action of the v16 secular resonance; two escapes are also recorded. Higher-order secul