Publications (24)
La stabilité des lunes de Saturne, Janus et Ãpiméthée: de l'observation astronomique à la théorie KAM
Alexandre Pousse, Laurent Niederman, Philippe Robutel
Popular science article associated with the work `On the co-orbital motion in the three-body problem: existence of quasi-periodic horseshoe-shaped orbits" (arXiv:1806.07262) from t…
Dynamics of co-orbital exoplanets in a first order resonance chain with tidal dissipation
Jérémy Couturier, Philippe Robutel, Alexandre C. M. Correia
Co-orbital planets (in a mean motion resonance) can be formed within a Laplace resonance chain. Here, we develop a secular model to study the dynamics of the resonance chain…
Towards completing Planetary Systems: The role of minor bodies on life growth and survival
Jorge Lillo-Box, David Kipping, Isabel Rebollido +8
The search for extrasolar planets in the past decades has shown that planets abound in the Solar neighborhood. While we are still missing an Earth twin, the forthcoming space missi…
Trojan Exoplanets
Philippe Robutel, Adrien Leleu
Co-orbital exoplanets are a by-product of the models of formation of planetary systems. However, none have been detected in nature thus far. Although challenging, the observation o…
Secular Dynamics of S-type Planetary Orbits in Binary Star Systems: Applicability Domains of First- and Second-Order Theories
Eduardo Andrade-Ines, Cristian Beaugé, Tatiana Michtchenko +1
We analyse the secular dynamics of planets on S-type coplanar orbits in tight binary systems, based on first- and second-order analytical models, and compare their predictions with…
Spin-orbit coupling and chaotic rotation for circumbinary bodies. Application to the small satellites of the Pluto-Charon system
Alexandre C. M. Correia, Adrien Leleu, Nicolas Rambaux +1
We investigate the resonant rotation of circumbinary bodies in planar quasi-circular orbits. Denoting and the orbital mean motion of the inner binary and of the circumbin…
On the co-orbital motion of two planets in quasi-circular orbits
Philippe Robutel, Alexandre Pousse
We develop an analytical Hamiltonian formalism adapted to the study of the motion of two planets in co-orbital resonance. The Hamiltonian, averaged over one of the planetary mean l…
On the co-orbital motion in the three-body problem: existence of quasi-periodic horseshoe-shaped orbits
Laurent Niederman, Alexandre Pousse, Philippe Robutel
Janus and Epimetheus are two moons of Saturn with very peculiar motions. As they orbit around Saturn on quasi-coplanar and quasi-circular trajectories whose radii are only 50 km ap…
Influence of the coorbital resonance on the rotation of the Trojan satellites of Saturn
Philippe Robutel, Nicolas Rambaux, Maryame El Moutamid
The Cassini spacecraft collects high resolution images of the saturnian satellites and reveals the surface of these new worlds. The shape and rotation of the satellites can be dete…
Marchal's family of periodic orbits. I: Stability of inclined co-orbital planetary systems
Alexandre Prieur, Philippe Robutel
At the Lagrange relative equilibrium of the three-body problem, for all values of the masses, the elliptic eigenvalues associated with vertical eigenvectors give rise to spatial qu…
The resonant structure of Jupiter's trojan asteroids-II. What happens for different configurations of the planetary system
Philippe Robutel, Julien Bodossian
In a previous paper, we have found that the resonance structure of the present Jupiter Trojan swarms could be split up into four different families of resonances. Here, in a first…
Secular Dynamics of Multiplanetary Circumbinary Systems
Eduardo Andrade-Ines, Philippe Robutel
We present an analytical formalism to study the secular dynamics of a system consisting of N-2 planets orbiting a binary star in outer orbits. We introduce a canonical coordinate s…
The family of Quasi-satellite periodic orbits in the circular co-planar RTBP
Alexandre Pousse, Philippe Robutel, Alain Vienne
In the circular case of the coplanar Restricted Three-body Problem, we studied how the family of quasi-satellite (QS) periodic orbits allows to define an associated libration cente…
Detection of co-orbital planets by combining transit and radial-velocity measurements
Adrien Leleu, Philippe Robutel, Alexandre C M Correia +1
Co-orbital planets have not yet been discovered, although they constitute a frequent by-product of planetary formation and evolution models. This lack may be due to observational b…
Long-term dust dynamics in Didymos and Dimorphos system: production, stability, and transport
Gustavo Madeira, Sebastien Charnoz, Nicolas Rambaux +1
Target of NASA's DART mission, the system of Didymos and Dimorphos will once again be visited by a space mission -- ESA's Hera mission, scheduled to be launch in 2024. Hera will ar…
Spin-orbit coupling and chaotic rotation for coorbital bodies in quasi-circular orbits
Alexandre C. M. Correia, Philippe Robutel
Coorbital bodies are observed around the Sun sharing their orbits with the planets, but also in some pairs of satellites around Saturn. The existence of coorbital planets around ot…
Detectability of quasi-circular co-orbital planets. Application to the radial velocity technique
Adrien Leleu, Philippe Robutel, Alexandre C. M. Correia
Several celestial bodies in co-orbital configurations exist in the solar system. However, co-orbital exoplanets have not yet been discovered. This lack may result from a degeneracy…
Spin-orbit resonances and rotation of coorbital bodies in quasi-circular orbits
Philippe Robutel, A. C. M. Correia, Adrien Leleu
The rotation of asymmetric bodies in eccentric Keplerian orbits can be chaotic when there is some overlap of spin-orbit resonances. Here we show that the rotation of two coorbital…
Analytical description of physical librations of Saturnian coorbital satellites Janus and Epimetheus
Philippe Robutel, Nicolas Rambaux, Julie Castillo-Rogez
Janus and Epimetheus are famously known for their distinctive horseshoe-shaped orbits resulting from a 1:1 orbital resonance. Every four years these two satellites swap their orbit…
Rigorous treatment of the averaging process for co-orbital motions in the planetary problem
Philippe Robutel, Laurent Niederman, Alexandre Pousse
We develop a rigorous analytical Hamiltonian formalism adapted to the study of the motion of two planets in co-orbital resonance. By constructing a complex domain of holomorphy for…
Spin-orbit coupling and chaotic rotation for eccentric coorbital bodies
Adrien Leleu, Philippe Robutel, A. C. M. Correia
The presence of a co-orbital companion induces the splitting of the well known Keplerian spin-orbit resonances. It leads to chaotic rotation when those resonances overlap.
On the co-orbital motion in the planar restricted three-body problem: the quasi-satellite motion revisited
Alexandre Pousse, Philippe Robutel, Alain Vienne
In the framework of the planar and circular restricted three-body problem, we consider an asteroid that orbits the Sun in quasi-satellite motion with a planet. A quasi-satellite tr…
An analytical model for tidal evolution in co-orbital systems I. Application to exoplanets
Jérémy Couturier, Philippe Robutel, Alexandre C. M. Correia
Close-in co-orbital planets (in a 1:1 mean motion resonance) can experience strong tidal interactions with the central star. Here, we develop an analytical model adapted to the stu…
Co-orbital exoplanets from close period candidates: The TOI-178 case
Adrien Leleu, Jorge Lillo-Box, Marko Sestovic +6
Despite the existence of co-orbital bodies in the solar system, and the prediction of the formation of co-orbital planets by planetary system formation models, no co-orbital exopla…