scholarly journals Resonant capture in quadruple stellar systems

2020 ◽  
Vol 493 (4) ◽  
pp. 5583-5595 ◽  
Author(s):  
Scott Tremaine
Keyword(s):  
Gravitational Radiation ◽  
Semimajor Axis ◽  
Stellar Systems ◽  
Compact Binaries ◽  
Magnetic Braking

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.

scholarly journals ANISOTROPIC GEOMETRODYNAMICS: GALACTIC TEST - STATE OF THE ART

Metaphysics ◽  
2020 ◽  
pp. 147-165
Author(s):  
S. V Siparov
Keyword(s):  
Gravitational Radiation ◽  
State Of The Art ◽  
Relativity Theory ◽  
Stellar Systems ◽  
Mathematical Apparatus ◽  
General Relativity Theory ◽  
Local Conditions ◽  
Short Period ◽  
The Given ◽  
Optical Metric

Anisotropic geometrodynamics contains all the known results of the general relativity theory. It also makes it possible to interpret a number of observations of the last decades without introducing new entities, but due to a change in the mathematical apparatus, and predicts the observed effects, that have not yet been interpreted. To further test the theory, an experiment is proposed, for which a theory is developed and basic observations are made. An analysis of the data obtained in the course of monitoring observations of 49 astrophysical masers (22 GHz) is presented. It is shown that the results obtained are not a consequence of instrumental errors, geophysical conditions, fluctuations in the interstellar medium, or local conditions in the vicinity of the maser. The interpretation of the observed effect is based on the phenomenon of optical-metric parametric resonance created by the action of gravitational radiation from distant short-period binaries. The stellar systems that satisfy the given conditions are revealed.

scholarly journals Tail-induced spin-orbit effect in the gravitational radiation of compact binaries

2011 ◽  
Vol 84 (6) ◽  
Author(s):  
Luc Blanchet ◽  
Alessandra Buonanno ◽  
Guillaume Faye
Keyword(s):  
Gravitational Radiation ◽  
Spin Orbit ◽  
Compact Binaries

scholarly journals GRAVITATIONAL WAVEFORMS FOR FINITE MASS BINARIES

2007 ◽  
Vol 22 (13) ◽  
pp. 2405-2414 ◽  
Author(s):  
MÁTYÁS VASÚTH ◽  
JÁNOS MAJÁR
Keyword(s):  
Binary System ◽  
Gravitational Wave ◽  
Gravitational Radiation ◽  
Compact Stars ◽  
Spin Orbit ◽  
Wave Polarization ◽  
Finite Mass ◽  
Compact Binaries ◽  
Eccentric Orbits ◽  
Comparable Mass

One of the promising sources of gravitational radiation is a binary system composed of compact stars. It is an important question of how the rotation of the bodies and the eccentricity of the orbit affect the detectable signal. Here we present a method to evaluate the gravitational wave polarization states for inspiralling compact binaries with comparable mass. We consider eccentric orbits and the spin-orbit contribution in the case of one spinning object up to 1.5 post-Newtonian order. For circular orbits our results are in agreement with existing calculations.

scholarly journals Relativistic equations of motion of massive bodies

2009 ◽  
Vol 5 (S261) ◽  
pp. 102-102
Author(s):  
Luc Blanchet
Keyword(s):  
Gravitational Radiation ◽  
State Of The Art ◽  
Equations Of Motion ◽  
Speed Of Light ◽  
Black Hole Binaries ◽  
Compact Binaries ◽  
The Third ◽  
Current State ◽  
Relativistic Equations ◽  
Equations Of Motions

AbstractHighly relativistic equations of motions will play a crucial role for the detection and analysis of gravitational waves emitted by inspiralling compact binaries in detectors LIGO/VIRGO on ground and LISA in space. Indeed these very relativistic systems (with orbital velocities of the order of half the speed of light in the last orbital rotations) require the application of a high-order post-Newtonian formalism in general relativity for accurate description of their motion and gravitational radiation [1]. In this contribution the current state of the art which has reached the third post-Newtonian approximation for the equations of motion [2–6] and gravitational waveform [7–9] has been described (see [10] for an exhaustive review). We have also emphasized the successful matching of the post-Newtonian templates to numerically generated predictions for the merger and ring-down in the case of black-hole binaries [11].

scholarly journals Gravitational Radiation from Inspiralling Compact Binaries Completed at the Third Post-Newtonian Order

2004 ◽  
Vol 93 (9) ◽  
Author(s):  
Luc Blanchet ◽  
Thibault Damour ◽  
Gilles Esposito-Farèse ◽  
Bala R. Iyer
Keyword(s):  
Gravitational Radiation ◽  
Compact Binaries ◽  
The Third
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