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Article
Dynamics of the 3/1 planetary mean-motion resonance: an application to the HD60532 b-c planetary system
In this paper, we use a semi-analytical approach to analyze the global structure of the phase space of the planar planetary 3/1 mean-motion resonance. The case where the outer planet is more massive than its i...
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Article
A new analysis of the GJ581 extrasolar planetary system
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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Article
Stationary Orbits in Resonant Extrasolar Planetary Systems
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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Article
Dynamics of Two Planets in the 3/2 Mean-motion Resonance: Application to the Planetary System of the Pulsar PSR B1257+12
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...
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Chapter
Extrasolar Planetary Systems
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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Article
Dynamics of Two Planets in the 2/1 Mean-Motion Resonance
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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Article
Evolution of Migrating Planet Pairs in Resonance
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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Chapter
On the Similarities and Differences Between 3/2 and 2/1 Asteroidal Resonances
The phase spaces of both 3/2 and 2/1 mean motion asteroidal resonances were studied by means of numerical integration and Fourier and wavelet analyses. The measurement of the proper asteroidal frequencies allo...
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Chapter and Conference Paper
On the Lack of Asteroids in the Hecuba Gap
The lack of asteroids in the 2/1-resonance is explained by the global stochasticity of the solutions in the Sun-Jupiter-Saturn-asteroid model. The explanation is based on data obtained with Laskar’s frequency ...
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Article
On the Lack of Asteroids in the Hecuba Gap
The lack of asteroids in the 2/1-resonance is explained by the global stochasticity of the solutions in the Sun-Jupiter-Saturn-asteroid model. The explanation is based on data obtained with Laskar's frequency ...
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Chapter and Conference Paper
Orbital Evolution of Asteroids in the Hecuba Gap
Numerical integrations of the motion of an asteroid in the Hecuba gap under the perturbations of Jupiter and Saturn. Most of the runs led to an escape from the gap. Examples are shown of the importance of reso...
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Article
Chaotic transitions in resonant asteroidal dynamics
The utilization of chaotic dynamics approaches allowed the identification of many modes of motion in resonant asteroidal dynamics. As these dynamical systems are not integrable, the motion modes are not separa...
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Chapter and Conference Paper
Applications of Fourier and Wavelet Analyses to the Resonant Asteroidal Motion
The Fourier transform is a fundamental technique in oscillatory signal processing and it has been widely and successfully used for many years. When applied to the study of the resonant asteroidal motion Fourie...
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Chapter and Conference Paper
Chaotic Transitions in Resonant Asteroidal Dynamics
The utilization of chaotic dynamics approaches allowed the identification of many modes of motion in resonant asteroidal dynamics. As these dynamical systems are not integrable, the motion modes are not separa...
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Chapter
Depletion of the Asteroid Belt at Resonances
The existence of gaps and groups in the distribution of outer belt asteroid orbits, at resonances with Jupiter’s orbit, is explained by different rates of destruction of the flow of regular motions by Saturn p...
