Periodic, Quasi-Periodic and Chaotic Motions in Celestial Mechanics: Theory and Applications
Selected papers from the Fourth Meeting on Celestial Mechanics, CELMEC IV San Martino al Cimino (Italy), 11–16 September 2005
Article
This paper deals with the rotation and figure evolution of a planet near the 3/2 spin–orbit resonance and the exploration of a new formulation of the creep tide theory (Folonier et al. in Celest Mech Dyn Astro...
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This paper deals with a new formulation of the creep tide theory (Ferraz-Mello in Celest Mech Dyn Astron 116:109, 2013—Paper I) and with the tidal dissipation predicted by the theory in the case of stiff bodies w...
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We have done a new analysis of the available observations of the GJ581 exoplanetary system. Today this system is controversial due to choices that can be done in the orbital determination. The main ones are th...
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The CoRoT space observatory is a project which is led by the French space agency CNES and leading space research institutes in Austria, Brazil, Belgium, Germany and Spain and also the European Space Agency ESA...
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The theory of diffusion in many-dimensional Hamiltonian system is applied to asteroidal dynamics. The general formulation developed by Chirikov is applied to the Nesvorný-Morbidelli analytic model of three-bod...
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About 70 of the more than 400 known extrasolar planets transit their central star, making it possible to observe their atmospheres and determine various key parameters. The transiting extra-solar planets so fa...
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We present a catalog of stable and unstable apsidal corotation resonance (ACR) for the resonant planar planetary three-body problem, including both symmetric and asymmetric solutions. Calculations are performe...
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This paper considers the dynamics of two planets, as the planets B and C of the pulsar PSR B1257+12, near a 3/2 mean-motion resonance. A two-degrees-of-freedom model, in the framework of the general three-body...
Book and Conference Proceedings
Selected papers from the Fourth Meeting on Celestial Mechanics, CELMEC IV San Martino al Cimino (Italy), 11–16 September 2005
Chapter and Conference Paper
Article
In this paper, we present the mathematical basis for the calculation of proper elements for asteroids in 3:2 mean-motion resonance with Jupiter from their osculating Keplerian elements. The method is based on ...
Chapter and Conference Paper
In this paper, we present the mathematical basis for the calculation of proper elements for asteroids in 3:2 mean-motion resonance with Jupiter from their osculating Keplerian elements. The method is based on ...
Chapter
This paper is an updated version of lectures given at the Helmholtz Summer School on Extrasolar Planetary Systems (Potsdam, 2003). It includes five sections: Orbit determination, the known planetary systems, c...
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The dynamics of two planets near a first-order mean-motion resonance is modeled in the domain of the general three-body planar problem. The system studied is the pair Uranus-Neptune (2/1 resonance). The phase ...
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Numerical simulations of the evolution of planets or massive satellites captured in the 2/1 and 3/1 resonances, under the action of an anti-dissipative tidal force. The evolution of resonant trapped bodies sho...
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Explicit construction of the solutions of the Hamiltonian system given by H = H 0(J) − ε A(J) cos Θ (ideal resonance problem), two orders of approximation beyond the well-known pendulum approximation. The given s...
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We develop a formalism of the non-singular evaluation of the disturbing function and its derivatives with respect to the canonical variables. We apply this formalism to the case of the perturbed motion of a ma...
Chapter and Conference Paper
Explicit construction of the solutions of the Hamiltonian system given by H = H 0(J) − εA(J) cos θ (ideal resonance problem), two orders of approximation beyond the well-known pendulum approximation...
Book and Conference Proceedings
Proceedings of the IAU Colloquium 172 held in Namur (Belgium), 6–11 July 1998