Gravitational Waves from Periodic Three-Body Systems

Abstract

Three bodies moving in a periodic orbit under the influence of Newtonian gravity ought to emit gravitational waves. We have calculated the gravitational radiation quadrupolar waveforms and the corresponding luminosities for the 13+11 recently discovered three-body periodic orbits in Newtonian gravity. These waves clearly allow one to distinguish between their sources: all 13+11 orbits have different waveforms and their luminosities (evaluated at the same orbit energy and body mass) vary by up to 13 orders of magnitude in the mean, and up to 20 orders of magnitude for the peak values.

arXiv comment5 pages, 2 figures

References in corpus (9)

• Evolution of Binary Black Hole Spacetimes
• Accurate Evolutions of Orbiting Black-Hole Binaries Without Excision
• Gravitational wave extraction from an inspiraling configuration of merging black holes
• The Last Three Minutes: Issues in Gravitational Wave Measurements of Coalescing Compact Binaries
• Three Classes of Newtonian Three-Body Planar Periodic Orbits
• Gravitational waveforms for 2- and 3-body gravitating systems
• Gravitational wave forms for a three-body system in Lagrange's orbit: parameter determinations and a binary source test
• Numerical Search for Periodic Solutions in the Vicinity of the Figure-Eight Orbit: Slaloming around Singularities on the Shape Sphere
• Can N-body systems generate periodic gravitational waves?

Cited by in corpus (9)

• The 1223 new periodic orbits of planar three-body problem with unequal mass and zero angular momentum
• Gravitational wave forms, polarizations, response functions and energy losses of triple systems in Einstein-Aether theory
• Topological Dependence of Kepler's Third Law for Collisionless Periodic Three-Body Orbits with Vanishing Angular Momentum and Equal Masses
• Gravitational waveforms and radiation powers of the triple system PSR J0337+1715 in modified theories of gravity
• Nonchaotic evolution of triangular configuration due to gravitational radiation reaction in the three-body problem
• Kepler's third law of n-body periodic orbits in a Newtonian gravitation field
• One family of 13315 stable periodic orbits of the non-hierarchical unequal-mass triple system
• The linear stability of the post-Newtonian triangular equilibrium in the three-body problem
• Gravitational Waves in the Circular Restricted Three Body Problem