Abstract
Abstract The γ-ray burst distance scale is not known and quiescent counterparts of γ-ray bursts have not been unambiguously identified in any wavelength band. It is generally assumed that γ-ray bursts originate on or near neutron stars in the general vicinity of our galaxy. Statistical tools for determining the γ-ray burst spatial distribution are their brightness distribution (“log N - log S” and V/V max ) and their angular distribution on the celestial sphere. We discuss in detail the dipole- and quadrupole moments and the angular autocovariance function ω(θ) of the positional data. The observations suggest zero angular correlation and small multipole moments which places severe constraints on the spatial distribution of γ-ray bursts. We discuss a Monte Carlo simulation of the population of galactic neutron stars which can be used to test the hypothesis that γ-ray bursts originate on galactic neutron stars.
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