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Effects of Secular Interactions in Extrasolar Planetary Systems

2006/06/14 by Fred C. Adams, Gregory Laughlin · 4 citations
Physics and Astronomy · #Astronomy and Astrophysical Research #Celestial mechanics #Circumstellar habitable zone #Eccentricity (behavior) #Exoplanet #History and Developments in Astronomy #Orbital elements #Planet #Planetary habitability #Planetary system #Solar System #Stellar, planetary, and galactic studies #astro-ph

paper · pdf · doi:10.1086/506142

published as Astrophys.J.649:992-1003,2006 · 32 pages, 11 figures, accepted for publication in ApJ

arxiv created 2006/06/14 · openalex publication_date 2006/09/27 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

This paper studies the effects of dynamical interactions among the planets in observed extrasolar planetary systems, including hypothetical additional bodies, with a focus on secular perturbations. These interactions cause the eccentricities of the planets to explore a distribution of values over timescales that are long compared to observational time baselines but short compared to the age of the systems. The same formalism determines the eccentricity forcing of hypothetical test bodies (terrestrial planets) in these systems, and we find which systems allow for potentially habitable planets. Such planets would be driven to nonzero orbital eccentricity and we derive the distribution of stellar flux experienced by the planets over the course of their orbits. The general relativistic corrections to secular interaction theory are included in the analysis, and such effects are important in systems with close planets (~4 day orbits). Some extrasolar planetary systems (e.g., ϒ Andromedae) can be used as a test of general relativity, whereas in other systems, general relativity can be used to constrain the system parameters (e.g., sin i ≳ 0.93 for HD 160691). For the case of hot Jupiters we discuss how the absence of observed eccentricity implies the absence of companion planets.

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