On the Stability of Test Particles in Extrasolar Multiple Planet Systems

Abstract

We present results of extensive numerical studies of the stability of non-interacting particles in the planetary systems of stars Upsilon Andromedae, GJ 876, 47 UMa, and 55 Cancri. We discuss the possibility of the existence of islands of stability and/or instability at different regions in these multi-body systems, and their probable correspondence to certain mean-motion resonances. The results of our study may be applied to questions concerning the stability of terrestrial planets in these systems and also the trapping of particles in resonances with the planets.

37 pages, 17 figures, 4 tables, submitted for publication

References in corpus (31)

• A ~ 7.5 Earth-Mass Planet Orbiting the Nearby Star, GJ 876
• Quantifying the Uncertainty in the Orbits of Extrasolar Planets
• Detection of a NEPTUNE-mass planet in the ${\rho }^1$ Cancri system using the Hobby-Eberly Telescope
• A Planetary Companion to the Nearby M4 Dwarf, Gliese 876
• The CORALIE survey for southern extra-solar planets. XII. Orbital solutions for 16 extra-solar planets discovered with CORALIE
• Short-Term Dynamical Interactions Among Extrasolar Planets
• A Mass for the Extrasolar Planet Gl 876b Determined from Hubble Space Telescope Fine Guidance Sensor 3 Astrometry and High-Precision Radial Velocities
• A Planet at 5 AU Around 55 Cancri
• Dynamical Habitability of Known Extrasolar Planetary Systems
• Secular dynamics of the three body problem: application to the upsilon Andromedae planetary system
• The ELODIE survey for northern extra-solar planets III. Three planetary candidates detected with ELODIE
• Evidence for Planet-Planet Scattering in Upsilon Andromedae
• Predicting Planets in Known Extra-Solar Planetary Systems I: Test Particle Simulations
• Prospects for Extrasolar "Earths" in Habitable Zones
• The 2:1 resonant exoplanetary system orbiting HD73526
• Habitability of known exoplanetary systems based on measured stellar properties
• Predicting Planets in Known Extra-Solar Planetary Systems III: Forming Terrestrial Planets
• A dynamical mechanism for establishing apsidal resonance
• Stability of Terrestrial Planets in the Habitable Zone of Gl 777 A, HD 72659, Gl 614, 47 Uma and HD 4208
• The orbits of the extrasolar planets HD 82943 c,b
• Predicting Planets in Known Extra-Solar Planetary Systems II: Testing for Saturn-mass Planets
• Apsidal Alignment in Upsilon Andromedae
• On the 2:1 Orbital Resonance in the HD 82943 Planetary System
• Eccentricity Excitation and Apsidal Resonance Capture in the Planetary System Upsilon Andromedae
• Dynamical Stability and Habitability of Gamma Cephei Binary-Planetary System
• A Dynamical Analysis of the 47 UMa Planetary System
• The GJ 876 Planetary System -- A Progress Report
• Could the 47 UMa Planetary System be a Second Solar System: predicting the Earth-like planets
• The apsidal corotation in mean motion resonance: the 55 Cancri as an example
• Stable 1:2 Resonant Periodic Orbits in Elliptic Three-Body Systems
• Partial Averaging and Resonance Trapping in a Restricted Three-Body System

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• A Search for Multi-Planet Systems Using the Hobby-Eberly Telescope
• An Empirically Derived Three-Dimensional Laplace Resonance in the Gliese 876 Planetary System
• Stability Limits in Resonant Planetary Systems
• The 3-dimensional architecture of the Upsilon Andromedae planetary system
• Survival of habitable planets in unstable planetary systems
• Application of the Titius-Bode Rule to the 55 Cancri System: Tentative Prediction of a Possibly Habitable Planet
• Can GJ 876 host four planets in resonance?
• A dynamical perspective on additional planets in 55 Cancri
• Developing Ecospheres on Transiently Habitable Planets: The Genesis Project
• Dynamics and Eccentricity Formation of Planets in OGLE-06-109L System
• Predicting Planets in Kepler Multi-Planet Systems
• Predicting multiple planet stability and habitable zone companions in the TESS era
• Properties of the single Jovian planet population and the pursuit of Solar system analogues
• Stable habitable zones of single Jovian planet systems
• The Stability and Dynamics of Planets in Tight Binary Systems
• The Dynamical Architecture and Habitable Zones of the Quintuplet Planetary System 55 Cancri
• Can Planets Exist in the Habitable Zone of 55~Cancri?
• On the formation of terrestrial planets between two massive planets: The case of 55 Cancri
• Theoretical Studies of Comets in the 55 Cancri System
• The Stability and Prospects of the Detection of Terrestrial/Habitable Planets in Multiplanet and Multiple Star Systems
• Habitable Planet Formation in Extreme Planetary Systems: Systems with Multiple Stars and/or Multiple Planets