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
Showing 2015Show all

5 papers · 1 filter

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…