Geometrical expression for the angular resolution of a network of gravitationalwave detectors
Abstract
We report for the first time general geometrical expressions for the angular resolution of an arbitrary network of interferometric gravitationalwave (GW) detectors when the arrival time of a GW is unknown. We show explicitly elements that decide the angular resolution of a GW detector network. In particular, we show the dependence of the angular resolution on areas formed by projections of pairs of detectors and how they are weighted by sensitivities of individual detectors. Numerical simulations are used to demonstrate the capabilities of the current GW detector network. We confirm that the angular resolution is poor along the plane formed by current LIGOVirgo detectors. A factor of a few to more than ten fold improvement of the angular resolution can be achieved if the proposed new GW detectors LCGT or AIGO are added to the network. We also discuss the implications of our results for the design of a GW detector network, optimal localization methods for a given network, and electromagnetic followup observations.
 Publication:

Physical Review D
 Pub Date:
 April 2010
 DOI:
 10.1103/PhysRevD.81.082001
 arXiv:
 arXiv:1003.2504
 Bibcode:
 2010PhRvD..81h2001W
 Keywords:

 04.80.Nn;
 95.75.z;
 97.60.Gb;
 97.80.d;
 Gravitational wave detectors and experiments;
 Observation and data reduction techniques;
 computer modeling and simulation;
 Pulsars;
 Binary and multiple stars;
 Astrophysics  Cosmology and Nongalactic Astrophysics;
 General Relativity and Quantum Cosmology
 EPrint:
 13 pages, for Phys. Rev. D