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Evolutionary dynamics while trapped in resonance: a Keplerian binary system perturbed by gravitational radiation

1996/12/16 by Carmen Chicone, C Chicone, Bahram Mashhoon +3
Physics and Astronomy · #Binary number #Binary system #Celestial mechanics #Dynamics (music) #Gravitation #Gravitational wave #Orbit (dynamics) #Order (exchange) #Periodic orbits #Pulsars and Gravitational Waves Research #Quantum chaos and dynamical systems #Relativity and Gravitational Theory #gr-qc

paper · pdf · doi:10.1088/0264-9381/14/7/018

published as Class.Quant.Grav. 14 (1997) 1831-1850 · REVTEX Style, Submitted

arxiv created 1996/12/16 · openalex publication_date 1997/07/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

Abstract

The method of averaging is used to investigate the phenomenon of capture into resonance for a model that describes a Keplerian binary system influenced by radiation damping and external normally incident periodic gravitational radiation. The dynamical evolution of the binary orbit while trapped in resonance is elucidated using a second-order partially averaged system. This method provides a theoretical framework which can be used to explain the main evolutionary dynamics of a physical system that has been trapped in resonance.

Citations