Astronomy and Astrophysics – Astronomy
Scientific paper
May 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994apj...426l...5h&link_type=abstract
Astrophysical Journal, Part 2 - Letters (ISSN 0004-637X), vol. 426, no. 1, L5-L9
Astronomy and Astrophysics
Astronomy
35
Astronomical Models, Gamma Ray Astronomy, Gamma Ray Bursts, Luminosity, Spaceborne Astronomy, Functions (Mathematics), Mathematical Models, Power Series, Radial Distribution
Scientific paper
We have utilized the integral moment analysis technique of Horack & Emslie to extract information on the allowable form of the luminosity function for gamma-ray bursts observed by Burst and Transient Source Experiment (BATSE). Using the general properties of moments, we are able to derive constraints on the range of luminosity from which the gamma-ray bursts must be sampled. These constraints are independent of the form of the radial distribution of the gamma-ray bursts, and depend only on the assumptions that space is Euclidean and that the luminosity function phi(L) is distance independent. For power-law luminosity functions of the form phi(L) = A0L-alpha, we find that the range of luminosity from which 80% of the gamma-ray bursts must be sampled cannot exceed approximately 6.5, with a 3 sigma upper limit of 12-15, regardless of the value of alpha.
Emslie Gordon A.
Horack John M.
Meegan Charles A.
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