Difference: CBwavesPresentation (4 vs. 5)

Revision 52011-06-23 - IstvanRacz

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META TOPICPARENT name="CBwaves"


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  We constructed a non-spinning circular waveform template bank to serve as a reference for the forthcoming studies. Samples for a circular non spinning orbit and for the emitted waveform with slow rise in the amplitude and frequency:
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Eccentric motions and waveforms ---> frequency modulation

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  Due to non negligible eccentricity the waveforms suffer a frequency modulation. [On the figures below only a short section of the evolution is indicated.]
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Effect of spin, amplitude modulation

In a case of the inclusion of spins the emitted gravitational wave acquires a considerable large amplitude modulation. On the left panel only one of the bodie possesses spin (s1=0.7) which is aligned with the orbital angular momentum. On the right panel the both of the bodies possess spins (s1=0.7, phi1=0 ; s2=0.4, phi2=pi/3). The modulation is clearly visible in both cases.

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Generic waveforms for spinning and eccentric binaries

As indicated above the cbwaves software is capable to determine the evolutions and the yielded waveforms of completely general spinning, eccentric binaries. The simultaneous effect of amplitude and frequency modulation is transparent! Fitting analytic formulas to all the possible waveforms seems not to be feasible.

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  According to our investigations circularisation happens but a tiny eccentricity is retained by binaries with initial eccentricity \x{fffd}µ=0.4-0.7.
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  For those who are interested in the effect of this tiny eccentricity on the SNR it might be informative to look at the figure below indicating the loss of SNR where on the horizontal axis the value of the retained part of the initial eccentricity \x{fffd}µ=0.4 is indicated at 40Hz frequency cut. [Here the overlap of our purely circular and eccentric templetes were determined.]
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2) Burst pipelines

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An indication that one can use our cbwaves software to investigate burst type events generated by an open binary.
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An indication that one can use our cbwaves software to modell single burst type events emitted by an open binary.
 
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Orbital evolution of an eccentric binary and the associated waveform

m1=24, m2=8, ε=0.8, D=2.5 10^23 m

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Orbital evolution of an eccentric double spinning binary and the associated waveform

m1=24, m2=8, ε=0.8, s1=s2=1, θ1=45, θ2=135 , D=2.5 10^23 m

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The Foruier spectrum of the early part of the evolution of an eccentric binary

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The time dependence of the eccentricity and the satisfaction of the energy conservation

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