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Searches for periodic gravitational waves from unknown isolated sources and Scorpius X-1: Results from the second LIGO science run

Searches for periodic gravitational waves from unknown isolated sources and Scorpius X-1: Results from the second LIGO science run,10.1103/PhysRevD.76

Searches for periodic gravitational waves from unknown isolated sources and Scorpius X-1: Results from the second LIGO science run   (Citations: 24)
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B. Abbott, R. Abbott, R. Adhikari, J. Agresti, P. Ajith, B. Allen, R. Amin, S. B. Anderson, W. G. Anderson, M. Arain, M. Araya, H. Armandulahttp://academic.research.microsoft.com/io.ashx?type=5&id=6799242&selfId1=0&selfId2=0&maxNumber=12&query=
We carry out two searches for periodic gravitational waves using the most sensitive few hours of data from the second {LIGO} science run. Both searches exploit fully coherent matched filtering and cover wide areas of parameter space, an innovation over previous analyses which requires considerable algorithm development and computational power. The first search is targeted at isolated, previously unknown neutron stars, covers the entire sky in the frequency band 160-728.8 Hz, and assumes a frequency derivative of less than 4 x 10(-10) Hz/s. The second search targets the accreting neutron star in the low-mass x-ray binary Scorpius X-1 and covers the frequency bands 464-484 Hz and 604-624 Hz as well as the two relevant binary orbit parameters. Because of the high computational cost of these searches we limit the analyses to the most sensitive 10 hours and 6 hours of data, respectively. Given the limited sensitivity and duration of the analyzed data set, we do not attempt deep follow-up studies. Rather we concentrate on demonstrating the data analysis method on a real data set and present our results as upper limits over large volumes of the parameter space. In order to achieve this, we look for coincidences in parameter space between the Livingston and Hanford 4-km interferometers. For isolated neutron stars our 95\% confidence level upper limits on the gravitational wave strain amplitude range from 6.6 x 10(-23) to 1 x 10(-21) across the frequency band; for Scorpius X-1 they range from 1.7 x 10(-22) to 1.3 x 10(-21) across the two 20-Hz frequency bands. The upper limits presented in this paper are the first broadband wide parameter space upper limits on periodic gravitational waves from coherent search techniques. The methods developed here lay the foundations for upcoming hierarchical searches of more sensitive data which may detect astrophysical signals.
Journal: Physical Review D - PHYS REV D , vol. 76, no. 8, 2007
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    • ...where α ∼ 0.6 and h160 ∼ 10 −22 , see [34]...
    • ...Note that reducing the observation time has 2 effects: the first one is to drop the GW strength relative to the detector sensitivity since h160 is proportional to T −1/2 obs [34]...

    Florian Dubathet al. Periodic gravitational waves from small cosmic string loops

    • ...The LIGO Scientific Collaboration (LSC) has so far published three types of searches for periodic gravitational waves (GWs): searches for known non-accreting pulsars [1–4], for the non-pulsing low-mass x-ray binary Sco X-1 [5, 6] and all-sky searches for as yet unknown neutron stars [5, 7–9]...
    • ...The first and last types of searches are approaching the indirect upper limits on gravitational wave emission inferred from the observed spindowns (spin frequency derivatives) of pulsars and supernova-based estimates of the neutron star population of the galaxy [5]...
    • ...where � is the equatorial ellipticity, Izz is the principal moment of inertia (assumed constant) and f is the gravitational wave frequency (assumed to be twice the spin frequency) [5, 16]...
    • ...where D is the distance of the source [5, 17]...
    • ...spinning significantly more slowly than it was at birth, we can relate the frequency evolution to the characteristic age τ and braking index n by [5, 18, 19]...
    • ...We therefore use the fully coherent F-statistic search [5], as implemented by the ComputeFStatistic v2 routine in the LSC Algorithm Library [28]...
    • ...The computation is conducted in the frequency domain using short Fourier transforms (SFTs) of segments of strain data, typically of 30 min duration so that the GW frequency will remain in one frequency bin over the length of the SFT [5]...
    • ...In the event no plausible signal is found, we will set upper limits by methods similar to the frequentist analyses in [1, 5]. These are based on Monte Carlo simulations searching the data for a multitude of software-injected signals with a distribution of amplitudes, inclination angles and polarization angles in each frequency bin...

    Unknown. Searching for gravitational waves from Cassiopeia A with LIGO

    • ...Three techniques that trade off between sensitivity and computation have been implemented: (1) semi-coherent, long duration all-sky searches sensitive only to power and neglecting phase using the entire data set [86]; (2) coherent, short-duration all-sky searches sensitive to amplitude and phase but computationally limited to ≈5000 h integration time [87]; (3) coherent, targeted searches for millisecond radio pulsars with accurate and ...

    Unknown. LIGO: the Laser Interferometer Gravitational-Wave Observatory

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