activity
20002026
most citedHigh order symplectic integrators for perturbed Hamiltonian systems

323 citations · 1.1k across the 31 of their papers we have counts for

collaborators

32 papers

math.DS2026

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…

astro-ph.EP2024

The TROY project III. Exploring co-orbitals around low-mass stars

O. Balsalobre-Ruza, J. Lillo-Box, D. Barrado +7

Co-orbital objects, also known as trojans, are frequently found in simulations of planetary system formation. In these configurations, a planet shares its orbit with other massive…

astro-ph.EP2024

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…

astro-ph.EP2024

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…

astro-ph.EP2022★ 5 cited

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…

astro-ph.EP2021★ 8 cited

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…

astro-ph.EP2021★ 195 cited

Six transiting planets and a chain of Laplace resonances in TOI-178

A. Leleu, Y. Alibert, N. C. Hara +152

Determining the architecture of multi-planetary systems is one of the cornerstones of understanding planet formation and evolution. Resonant systems are especially important as the…

astro-ph.EP2020★ 87 cited

Planetary system LHS 1140 revisited with ESPRESSO and TESS

J. Lillo-Box, P. Figueira, A. Leleu +17

LHS 1140 is an M dwarf known to host two known transiting planets at orbital periods of 3.77 and 24.7 days. The external planet (LHS 1140 b) is a rocky super-Earth that is located…

astro-ph.EP2019★ 31 cited

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…

astro-ph.EP2018★ 30 cited

The TROY project: II. Multi-technique constraints on exotrojans in nine planetary systems

J. Lillo-Box, A. Leleu, H. Parviainen +10

Co-orbital bodies are the byproduct of planet formation and evolution, as we know from the Solar System. Although planet-size co-orbitals do not exists in our planetary system, dyn…

math.DS2018★ 13 cited

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…

astro-ph.EP2018

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…

astro-ph.EP2017

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…

astro-ph.EP2017★ 36 cited

The TROY project: Searching for co-orbital bodies to known planets. I. Project goals and first results from archival radial velocity

J. Lillo-Box, D. Barrado, P. Figueira +5

The detection of Earth-like planets, exocomets or Kuiper belts show that the different components found in the solar system should also be present in other planetary systems. Troja…

astro-ph.EP2017★ 14 cited

Spin dynamics of close-in planets exhibiting large TTVs

J. -B. Delisle, A. C. M. Correia, A. Leleu +1

We study the spin evolution of close-in planets in compact multi-planetary systems. The rotation period of these planets is often assumed to be synchronous with the orbital period…

astro-ph.EP2017★ 30 cited

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…

astro-ph.EP2016★ 26 cited

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…

astro-ph.EP2015★ 24 cited

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…

astro-ph.EP2015★ 4 cited

On the rotation of co-orbital bodies in eccentric orbits

A. Leleu, P. Robutel, A. C. M. Correia

We investigate the resonant rotation of co-orbital bodies in eccentric and planar orbits. We develop a simple analytical model to study the impact of the eccentricity and orbital p…

astro-ph.EP2015★ 31 cited

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…

astro-ph.EP2015★ 28 cited

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…

astro-ph.EP2015

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…

astro-ph.EP2014

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…

astro-ph.EP2014

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.