Nordhaus et al. perform numerical calculations in which the neutron star forms a couple of kilometers away from the center of the star. They also have to augment the neutrino luminosity to successfully drive the supernova. With the proto neutron star off-center, the neutron star naturally gets a velocity kick of 150 km/s and growing at 350 km/s/s by the end of simulation. It is nice that one's intuition and more rudimentary numerical models are verified by this thorough calculation.
Title: Theoretical Support for the Hydrodynamic Mechanism of Pulsar Kicks
arXiv:1010.0167
Hydrodynamical Neutron Star Kicks in Three Dimensions
arXiv:1010.0167
Hydrodynamical Neutron Star Kicks in Three Dimensions
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