1997
DOI: 10.1086/303541
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A Geometric Method for Location of Gravitational Wave Sources

Abstract: We show that the interaction of a gravitational wave with a spherical resonant-mass antenna changes the antennaÏs shape to that of an ellipsoid. These changes in shape always determine the direction of the incoming wave and may provide information on the waveÏs polarization. We present a new approach for determining the position of astrophysical sources of gravitational waves which involves fewer calculations than in earlier methods. We also show how the measured quantities relate to the energy density of the … Show more

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Cited by 57 publications
(33 citation statements)
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“…Our ability to extract the signal from the noise will depend on the signalto-noise ratio (SNR) achieved for the particular event. This has been investigated by Merkowitz [12] and Merkowitz, Lobo and Serrano [13], partly using an approach first presented in Magalhães et al [14]. In the present work we will not approach this issue in depth, but leave it to be discussed elsewhere.…”
Section: The Inverse Problemmentioning
confidence: 96%
“…Our ability to extract the signal from the noise will depend on the signalto-noise ratio (SNR) achieved for the particular event. This has been investigated by Merkowitz [12] and Merkowitz, Lobo and Serrano [13], partly using an approach first presented in Magalhães et al [14]. In the present work we will not approach this issue in depth, but leave it to be discussed elsewhere.…”
Section: The Inverse Problemmentioning
confidence: 96%
“…The sensors will be located as if in the center of the six connected pentagons in a dodecahedron surface, following the studies by Merkowitz and Johnson 6,7 confirmed by Magalhaes and collaborators 8 . By analyzing the signal of such sensors, the amplitudes and the direction of the incoming gravitation wave can be obtained 9,10 . The Schenberg group has decided to use microwave parametric transducers as motion sensors like the one used in the Australian GW detector NIOBÈ 11 .…”
Section: Introductionmentioning
confidence: 99%
“…The detector will have six transducers, arranged in the sphere surface in a half-dodecahedron distribution; the sensors will be located as if in the center of the 6 connected pentagons in a dodecahedron surface. By analyzing the signal of such sensors the intensity and the direction of the incoming gravitation wave can be obtained [7][8][9].…”
Section: Introductionmentioning
confidence: 99%