SAIFR:4478

Isles of regularity in a sea of chaos amid the gravitational three-body problem

(2024). Isles of regularity in a sea of chaos amid the gravitational three-body problem. ICTP South American Institute for Fundamental Research. https://scivideos.org/ictp-saifr/4478

Isles of regularity in a sea of chaos amid the gravitational three-body problem. ICTP South American Institute for Fundamental Research, Aug. 07, 2024, https://scivideos.org/ictp-saifr/4478 

          @misc{ scivideos_SAIFR:4478,
            doi = {},
            url = {https://scivideos.org/ictp-saifr/4478},
            author = {},
            keywords = {ICTP-SAIFR, IFT, UNESP},
            language = {en},
            title = {Isles of regularity in a sea of chaos amid the gravitational three-body problem},
            publisher = { ICTP South American Institute for Fundamental Research},
            year = {2024},
            month = {aug},
            note = {SAIFR:4478 see, \url{https://scivideos.org/ictp-saifr/4478}}
          }
Alessandro Trani
Talk numberSAIFR:4478
Source RepositoryICTP – SAIFR
Collection
Talk Type Conference
Subject

Abstract

The 3-body problem poses a longstanding challenge in physics and celestial mechanics. Despite the impossibility of obtaining general analytical solutions, statistical theories have been developed based on the ergodic principle. This assumption is justified by chaos, which is expected to fully mix the accessible phase space of the 3-body problem.We probed the presence of regular (i.e. non-chaotic) trajectories within the 3-body problem and assessed their impact on statistical escape theories.Our analysis reveals that regular trajectories occupy up to 37% of the phase space, and their outcomes defy the predictions of statistical escape theories. Our findings underscore the challenges in applying statistical escape theories to astrophysical problems, as they may bias results by excluding the outcome of regular trajectories. This is particularly important in the context of formation scenarios of gravitational wave mergers, where biased estimates of binary eccentricity can significantly impact estimates of coalescence efficiency and detectable eccentricity.Based on 2403.03247