• Solar System • Exoplanetary systems •
• Asteroids • Exoplanets • Moons • Satellites • Space missions •
Research Interests
• Three-body Problem • Perturbation Theory •
• Resonant structures • Mean-motion resonances • Co-orbital motion •

My field of expertise concerns mathematical physics, celestial mechanics and astrodynamics problems, studied by means of perturbation theory, analytic developments and numerical methods.

I’m especially interested to the three-body problem in the framework of:

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• an asteroid or a spacecraft that orbits the Sun in some resonant regime with a planet;

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• exo-planetary systems;

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• the non-trivial motion of artificial satellites generated by a resonant structures and diffusion mechanism.

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My special research results and expertise concern the co-orbital motion

(also called 1:1 Mean-Motion Resonance), that is the dynamics of two “small” bodies (two planets or a planet and an asteroid) which orbit the Sun or a star with the same period of revolution. 

A major example is given by the moons Janus and Epimetheus that gravitate Saturn with the same period on coplanar and circular orbits that swap every 4 years after a relatively close encounter.

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From the mathematical point-of-view, I work in the framework of dynamical systems. More specifically, I study the existence of normal forms in the purpose of showing the existence and the persistence of certain particular dynamics in finite dimension.

In particular, my works focus on the existence and stability of periodic or diophantine quasi-periodic invariant torii in the 3BP.

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Mainly through algebraic computations (construction of normal forms with computer algebra systems), rigorous estimations of analytic developments and with the help of numerical studies, I intend to improve the understanding of non trivial dynamics followed by celestial objects in the solar system and outside.