Distribution of compact object mergers around galaxies     

Tomasz Bulik  Krzysztof Belczy&#;ski  Wojciech Zbijewski 《Monthly notices of the Royal Astronomical Society》1999,309(3):629-635

Compact object mergers are one of the currently favoured models for the origin of gamma-ray bursts (GRBs). The discovery of optical afterglows and identification of the nearest, presumably host, galaxies allow the analysis of the distribution of burst sites with respect to these galaxies. Using a model of stellar binary evolution we synthesize a population of compact binary systems which merge within the Hubble time. We include the kicks in the supernovae explosions and calculate orbits of these binaries in galactic gravitational potentials. We present the resulting distribution of merger sites and discuss the results in the framework of the observed GRB afterglows.  相似文献   

Anisotropic Kepler and anisotropic two fixed centres problems     

Andrzej J. Maciejewski  Maria Przybylska  Wojciech Szumiński 《Celestial Mechanics and Dynamical Astronomy》2017,127(2):163-184

In this paper we show that the anisotropic Kepler problem is dynamically equivalent to a system of two point masses which move in perpendicular lines (or planes) and interact according to Newton’s law of universal gravitation. Moreover, we prove that generalised version of anisotropic Kepler problem as well as anisotropic two centres problem are non-integrable. This was achieved thanks to investigation of differential Galois groups of variational equations along certain particular solutions. Properties of these groups yield very strong necessary integrability conditions.  相似文献