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Orbital Characteristics of Binary Systems after Asymmetric Supernova Explosions

Orbital Characteristics of Binary Systems after Asymmetric Supernova Explosions

We present an analytical method for studying the changes of the orbital characteristics of binary systems with circular orbits due to a kick velocity imparted to the newborn neutron star during a supernova (SN) explosion. Assuming a Maxwellian distribution of kick velocities we derive analytical expressions for the distribution functions …