A semi-empirical stability criterion for real planetary systems with eccentric orbits

@article{Giuppone2013ASS,
  title={A semi-empirical stability criterion for real planetary systems with eccentric orbits},
  author={Cristian A. Giuppone and M H M Morais and A. C. M. Correia},
  journal={Monthly Notices of the Royal Astronomical Society},
  year={2013},
  volume={436},
  pages={3547-3556}
}
Fil: Giuppone, Cristian Andres. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Centro Cientifico Tecnologico Cordoba. Instituto de Astronomia Teorica y Experimental; Argentina; Universidade de Aveiro. Departamento de Fisica, I3N; Portugal; 
Chaotic Diffusion in the Gliese-876 Planetary System
Fil: Marti, Javier Guillermo. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Centro Cientifico Tecnologico Conicet - La Plata. Instituto de Astrofisica La Plata. Universidad Nacional deExpand
Orbital stability of coplanar two-planet exosystems with high eccentricities
The long-term stability of the evolution of two-planet systems is considered by using the general three body problem (GTBP). Our study is focused on the stability of systems with adjacent orbits whenExpand
THE STABILITY AND FATES OF HIERARCHICAL TWO-PLANET SYSTEMS
We study the dynamical stability and fates of hierarchical (in semimajor axis) two-planet systems with arbitrary eccentricities and mutual inclinations. We run a large number of long-term numericalExpand
Lidov-Kozai stability regions in the α Centauri system
The stability of planets in the α  Centauri AB stellar system has been studied extensively. However, most studies either focus on the orbital plane of the binary or consider inclined circular orbits.Expand
Semi-analytical model for planetary resonances: application to planets around single and binary stars
In spite of planetary resonances being a common dynamical mechanism acting on planetary systems, no general model exists for describing their properties, particularly for commensurabilities of anyExpand
A Criterion for the Onset of Chaos in Systems of Two Eccentric Planets
We derive a criterion for the onset of chaos in systems consisting of two massive, eccentric, coplanar planets. Given the planets' masses and separation, the criterion predicts the criticalExpand
Predicting a third planet in the Kepler-47 circumbinary system
We have studied the possibility that a third circumbinary planet in the Kepler-47 planetary system be the source of the single unexplained transiting event reported during the discovery of theseExpand
Predicting multiple planet stability and habitable zone companions in the TESS era
We present an approach that is able to both rapidly assess the dynamical stability of multiple planet systems, and determine whether an exoplanet system would be capable of hosting a dynamicallyExpand
Numerical search for a potential planet sculpting the young disc of HD 115600
Radial and azimuthal features (such as disc offsets and eccentric rings) seen in high resolution images of debris discs, provide us with the unique opportunity of finding potential planetaryExpand
The Exoplanet Handbook
1. Introduction 2. Radial velocities 3. Astrometry 4. Timing 5. Microlensing 6. Transits 7. Imaging 8. Host stars 9. Brown dwarfs and free-floating planets 10. Formation and evolution 11. InteriorsExpand
...
1
2
3
4
...

References

SHOWING 1-10 OF 24 REFERENCES
Chaos detection tools: application to a self-consistent triaxial model
Fil: Maffione, Nicolas Pablo. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Centro Cientifico Tecnologico Conicet - La Plata. Instituto de Astrofisica La Plata. Universidad Nacional deExpand
The Stability of Multi-Planet Systems
A system of two small planets orbiting the Sun on low-eccentricity, low-inclination orbits is stable with respect to close encounters if the initial semi-major axis difference, Δ, measured in mutualExpand
Orbital stability of systems of closely-spaced planets
Abstract An investigation of the stability of systems of 1 M ⊕ (Earth-mass) bodies orbiting a Sun-like star has been conducted for virtual times reaching 10 billion years. For the majority of theExpand
Dynamics of Systems of Two Close Planets
Abstract In connection with the study of newly formed protoplanetary embryos in the early Solar System, we study the dynamics of a pair of interacting planets orbiting a Sun. By examining theExpand
Tidal dissipation in multi-planet systems and constraints on orbit fitting
We present here in full detail the linear secular theory with tidal damping that was used to constrain the fit to the HD 10180 planetary system in Lovis et al. (2011, A&A, 528, A112). The theory isExpand
STABILITY LIMITS IN EXTRASOLAR PLANETARY SYSTEMS
Two types of stability boundaries exist for any planetary system consisting of one star and two planets. Lagrange stability requires that the planets remain bound to the star, conserves the orderingExpand
The HARPS search for southern extra-solar planets - XIX. Characterization and dynamics of the GJ 876 planetary system
Precise radial-velocity measurements for data acquired with the HARPS spectrograph infer that three planets orbit the M4 dwarf star GJ876. In particular, we confirm the existence of planet d, whichExpand
Dynamical analysis and constraints for the HD 196885 system
The HD 196885 system is composed of a binary star and a planet orbiting the primary. The orbit of the binary is fully constrained by astrometry, but for the planet the inclination with respect to theExpand
The long-term evolution of orbits in the solar system: A mapping approach
Abstract We derive a mapping that approximates the restricted circulat three-body problem (Sun, planet, test particle) when the eccentricity ofr test particle is small and its semimajor axis is closeExpand
First-order Resonance Overlap and the Stability of Close Two-planet Systems
Motivated by the population of observed multi-planet systems with orbital period ratios 1 < P 2/P 1 2, we study the long-term stability of packed two-planet systems. The Hamiltonian for two massiveExpand
...
1
2
3
...