2012/07/23 by Lorenzo De Vittori, Philippe Jetzer, Antoine Klein · 3 citations
Mathematics · Physics and Astronomy · #Astrophysics #Classical mechanics #Cosmology and Gravitation Theories #Eccentricity (behavior) #Energy (signal processing) #Focus (optics) #Gamma-ray bursts and supernovae #Gravitational wave #Hyperbolic function #Limit (mathematics) #Limiting #Mathematical analysis #Mathematical physics #Mathematics #Optics #Physics #Pulsars and Gravitational Waves Research #Quadrupole #Quantum mechanics #Spectrum (functional analysis) #Work (physics) #astro-ph.CO #gr-qc
paper · pdf · doi:10.1103/physrevd.86.044017
published as Phys.Rev.D 86 (2012) 044017 · 9 pages, 4 figures, Accepted for publication in Physical Review D
arxiv created 2012/07/23 · openalex publication_date 2012/08/09 · arxiv updated 2012/08/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The emission of gravitational waves is studied for a system of massive objects interacting on hyperbolic orbits within the quadrupole approximation following the work of Capozziello et al. Here we focus on the derivation of an analytic formula for the energy spectrum of the emitted waves. We checked numerically that our formula is in agreement with the two limiting cases for which results were already available: for the eccentricity \ensuremathε=1, the parabolic case whose spectrum was computed by Berry and Gair, and the large \ensuremathε limit with the formula given by Turner.