Normalized angular momentum deficit: A tool for comparing the violence of the dynamical histories of planetary systems

Abstract

Population studies of the orbital characteristics of exoplanets in multi-planet systems have highlighted the existence of an anticorrelation between the average orbital eccentricity of planets and the number of planets of their host system, that is, its multiplicity. This effect was proposed to reflect the varying levels of violence in the dynamical evolution of planetary systems. Previous work suggested that the relative violence of the dynamical evolution of planetary systems with similar orbital architectures can be compared through the computation of their angular momentum deficit (AMD). We investigated the possibility of using a more general metric to perform analogous comparisons between planetary systems with different orbital architectures. We considered a modified version of the AMD, the normalized angular momentum deficit (NAMD), and used it to study a sample of 99 multi-planet systems containing both the currently best-characterized extrasolar systems and the solar system, that is, planetary systems with both compact and wide orbital architectures. We verified that the NAMD allows us to compare the violence of the dynamical histories of multi-planet systems with different orbital architectures. We identified an anticorrelation between the NAMD and the multiplicity of the planetary systems, of which the previously observed eccentricity-multiplicity anticorrelation is a reflection. Our results seem to indicate that phases of dynamical instabilities and chaotic evolution are not uncommon among planetary systems. They also suggest that the efficiency of the planetary formation process in producing high-multiplicity systems is likely to be higher than that suggested by their currently known population.

6 pages, 1 table, 3 figures. Accepted for publication on Astronomy & Astrophysics

References in corpus (16)

• Seven temperate terrestrial planets around the nearby ultracool dwarf star TRAPPIST-1
• Dynamical Outcomes of Planet-Planet Scattering
• The NASA Exoplanet Archive: Data and Tools for Exoplanet Research
• Defining and cataloging exoplanets: The exoplanet.eu database
• The nature of the TRAPPIST-1 exoplanets
• Dynamical Evolution of the Early Solar System
• Exoplanetary Atmospheres - Chemistry, Formation Conditions, and Habitability
• Characterizing Transiting Planet Atmospheres through 2025
• AMD-stability and the classification of planetary systems
• Convergent Migration Renders TRAPPIST-1 Long-lived
• The Exoplanet Orbital Eccentricity - Multiplicity Relation and the Solar System
• The TRAPPIST-1 system: Orbital evolution, tidal dissipation, formation and habitability
• On the patterns observed in Kepler multi-planet systems
• The contribution of the ARIEL space mission to the study of planetary formation
• Anti-correlation between multiplicity and orbital properties in exoplanetary systems as a possible record of their dynamical histories
• Predicting multiple planet stability and habitable zone companions in the TESS era

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• Exploring the link between star and planet formation with Ariel
• A framework for the architecture of exoplanetary systems. II. Nature versus nurture: Emergent formation pathways of architecture classes
• Orbital Architectures of Kepler Multis From Dynamical Instabilities
• The GAPS program at TNG XLVII: The unusual formation history of V1298 Tau
• Orbital Eccentricity -- Multiplicity Correlation for Planetary Systems and Comparison to the Solar System
• Birth cluster simulations of planetary systems with multiple super-Earths: initial conditions for white dwarf pollution drivers
• Stellar obliquities of eight close-in gas giant exoplanets
• The GAPS programme at TNG LXIV: An inner eccentric sub-Neptune and an outer sub-Neptune-mass candidate around BD+00 444 (TOI-2443)
• Ariel stellar characterisation III. Fast rotators and new FGK stars in the Ariel Mission Candidate Sample
• HD 163296 and its Giant Planets: Creation of Exo-comets, Interstellar Objects and Transport of Volatile Material
• Exo-MerCat v2.0.0: updates and open-source release of the Exoplanet Merged Catalog software