Resonant capture in quadruple stellar systems

Abstract

Some quadruple star systems in the hierarchical 2+2 configuration exhibit orbit-orbit resonances between the two compact binaries. We show that the most important resonances occur at period ratios of 1:1, 3:2 and 2:1. We describe the conditions required for capture and show that they can be satisfied at the 3:2 and 2:1 resonances in binaries that migrate significantly in semimajor axis after circularization, probably through magnetic braking or gravitational radiation.

13 pages, 1 figure

References in corpus (13)

• Hot Stars with Hot Jupiters Have High Obliquities
• Architecture of Kepler's Multi-transiting Systems: II. New investigations with twice as many candidates
• Overstable Librations can account for the Paucity of Mean Motion Resonances among Exoplanet Pairs
• Reducing the Probability of Capture into Resonance
• Secular dynamics of hierarchical quadruple systems: the case of a triple system orbited by a fourth body
• The Tidal Circularization Cutoff Period of the Old Open Cluster NGC188
• On the stability and collisions in triple stellar systems
• KIC 4247791: A SB4 system with two eclipsing binaries (2EBs)
• Discovery of a double eclipsing binary with periods near a 3:2 ratio
• Doubly eclipsing systems
• Updated study of the quintuple system V994 Herculis
• The quasi-resonant variability of the massive LMC system BI 108
• Orbital Synchronization Capture of Two Binaries Emitting Gravitational Waves

Cited by in corpus (10)

• 97 Eclipsing Quadruple Star Candidates Discovered in TESS Full Frame Images
• Multiply eclipsing candidates from the TESS satellite
• Enhancement of Double-Close-Binary Quadruples
• TIC 278956474: Two close binaries in one young quadruple system, identified by \textit{TESS}
• V994 Her: A Unique Triply Eclipsing Sextuple Star System
• The Value-Added Catalog of ASAS-SN Eclipsing Binaries II: Properties of Extra-Physics Systems
• The complex dynamical past and future of double eclipsing binary CzeV343: misaligned orbits and period resonance
• Coupling of Dual Mass-Transferring White-Dwarf Binaries as a Variable Gravitational-Wave Emitter
• A supplementary radiation-reaction force between two binaries
• The Onset of Chaos in Permanently Deformed Binaries from Spin-Orbit and Spin-Spin Coupling