Statistics – Computation
Scientific paper
Dec 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989aj.....98.2280r&link_type=abstract
Astronomical Journal (ISSN 0004-6256), vol. 98, Dec. 1989, p. 2280-2286.
Statistics
Computation
Binary Stars, Computational Astrophysics, Gamma Ray Bursts, Lagrangian Equilibrium Points, Roche Limit, Stellar Rotation, Three Body Problem
Scientific paper
A mechanism to generate gamma-ray bursts in a semidetached binary system is considered. If the secondary in a synchronously rotating semidetached binary has a solid crust, pieces of it can become detached and can follow independent trajectories through an inner Lagrangian point and around the primary. If a piece of material hits the primary, gamma-rays may be produced. Two-dimensional trajectories of a test particle starting from the inner Lagrangian point were calculated for various mass ratios of primary and secondary stars. Numerical integrations were performed for a maximum of 16,240 orbits for one particular mass ratio; however, particles did not come sufficiently close to the center of the detached component to produce gamma-ray bursts. Three-body problem theory also indicates that the chances of collision are very low.
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