Regular and chaotic orbits in the dynamics of exoplanets

Abstract

Many of exoplanetary systems consist of more than one planet and the study of planetary orbits with respect to their long-term stability is very interesting. Furthermore, many exoplanets seem to be locked in a mean-motion resonance (MMR), which offers a phase protection mechanism, so that, even highly eccentric planets can avoid close encounters. However, the present estimation of their initial conditions, which may change significantly after obtaining additional observational data in the future, locate most of the systems in chaotic regions and consequently, they are destabilized. Hence, dynamical analysis is imperative for the derivation of proper planetary orbital elements. We utilize the model of spatial general three body problem, in order to simulate such resonant systems through the computation of families periodic orbits. In this way, we can figure out regions in phase space, where the planets in resonances should be ideally hosted in favour of long-term stability and therefore, survival. In this review, we summarize our methodology and showcase the fact that stable resonant planetary systems evolve being exactly centered at stable periodic orbits. We apply this process to co-orbital motion and systems HD 82943, HD 73526, HD 128311, HD 60532, HD 45364 and HD 108874.

EPJ ST, accepted

References in corpus (9)

• Dynamical Outcomes of Planet-Planet Scattering
• The HARPS search for southern extra-solar planets XIX. Characterization and dynamics of the GJ876 planetary system
• Tidal evolution of hierarchical and inclined systems
• HD45364, a pair of planets in a 3:2 mean motion resonance
• HD60532, a planetary system in a 3:1 mean motion resonance
• Resonance breaking due to dissipation in planar planetary systems
• Long-lived Chaotic Orbital Evolution of Exoplanets in Mean Motion Resonances with Mutual Inclinations
• Orbital stability of coplanar two-planet exosystems with high eccentricities
• Eclipsing binaries and fast rotators in the Kepler sample. Characterization via radial velocity analysis from Calar Alto

Cited by in corpus (7)

• Linking long-term planetary $N$-body simulations with periodic orbits: application to white dwarf pollution
• Origin and continuation of 3/2, 5/2, 3/1, 4/1 and 5/1 resonant periodic orbits in the circular and elliptic restricted three-body problem
• Puzzling out the coexistence of terrestrial planets and giant exoplanets. The 2/1 resonant periodic orbits
• Periodic orbits in the 1:2:3 resonant chain and their impact on the orbital dynamics of the Kepler-51 planetary system
• Influence of periodic orbits on the formation of giant planetary systems
• Exploiting periodic orbits as dynamical clues for Kepler and K2 systems
• Resonant chains in triple-planetary systems