Statistics – Computation
Scientific paper
Oct 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993ap%26ss.208..301w&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 208, no. 2, p. 301-311
Statistics
Computation
5
Cometary Collisions, Comets, Computational Astrophysics, Gamma Ray Bursts, Luminosity, Magnetic Fields, Solar System, Differential Equations, Gamma Ray Observatory, Kinetic Energy, Oort Cloud, Transformations (Mathematics), Venera Satellites
Scientific paper
Colliding comets in the Solar System may be an important source of gamma ray bursts. The spherical gamma ray comet cloud required by the results of the Venera Satellites (Mazets and Golenetskii, 1987) and the Burst and Transient Source Experiment (BATSE) detector on the Compton Satellite (Meegan et al., 1992a, b) is neither the Oort Cloud nor the Kuiper Belt. To satisfy observations of N(greater than Pmax) vs Pmax for the maximum gamma ray fluxes, Pmax greater than 10-5 ergs/sq cm/ s (about 30 bursts/yr), the comet density, n, should increase as n approximately a1 from about 40 to 100 AU where a is the comet heliocentric distance. The turnover above 100 AU requires n approximately a-1/2 to 200 AU to fit the Venera results and n approximately a1/4 to 400 AU to fit the BATSE data. Then the masses of comets in the 3 regions are from: 40-100 AU, about 9 earth masses, mE; 100-200 AU about 25 mE; and 100-400 AU, about 900 mE. The flux of 10-5 ergs/sq cm/s corresponds to a luminosity at 100 AU of 3 x 1026 ergs/s. Two colliding spherical comets at a distance of 100 AU, each with nucleus of radius R of 5 km, density of 0.5 g/cu cm and Keplerian velocity 3 km/s have a combined kinetic energy of 3 x 1028 erg, a factor of about 100 greater tha required by the burst maximum fluxes that last for one second.
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