DYNAMICAL EVOLUTION OF MULTI-RESONANT SYSTEMS: THE CASE OF GJ 876

2015/03/31 by Konstantin Batygin, Katherine M. Deck, Matthew J. Holman · 66 citations
Mathematics · Physics and Astronomy · #Astro and Planetary Science #Astronomy #Astrophysics and Star Formation Studies #Chaotic #Classical mechanics #Computer science #Dissipative system #Physics #Planet #Planetary migration #Planetary system #Quantum mechanics #Solar System #Stellar, planetary, and galactic studies #astro-ph.EP #math.DS #nlin.CD

paper · pdf · doi:10.1088/0004-6256/149/5/167

published in The Astronomical Journal 149(5), 167 (Institute of Physics) · 15 pages, 7 figures, accepted to AJ

arxiv created 2015/03/31 · openalex publication_date 2015/04/28 · arxiv updated 2015/06/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

The GJ 876 system was among the earliest multi-planetary detections outside of the Solar System, and has long been known to harbor a resonant pair of giant planets. Subsequent characterization of the system revealed the presence of an additional Neptune mass object on an external orbit, locked in a three body Laplace mean motion resonance with the previously known planets. While this system is currently the only known extrasolar example of a Laplace resonance, it differs from the Galilean satellites in that the orbital motion of the planets is known to be chaotic. In this work, we present a simple perturbative model that illuminates the origins of stochasticity inherent to this system and derive analytic estimates of the Lyapunov time as well as the chaotic diffusion coefficient. We then address the formation of the multi-resonant structure within a protoplanetary disk and show that modest turbulent forcing in addition to dissipative effects is required to reproduce the observed chaotic configuration. Accordingly, this work places important constraints on the typical formation environments of planetary systems and informs the attributes of representative orbital architectures that arise from extended disk-driven evolution.

Citations

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