  Neutron stars are likely surrounded by gas, debris, and asteroid belts.
Kozai-Lidov perturbations, induced by a distant, but gravitationally bound
companion, can trigger the infall of such orbiting bodies onto a central
compact object. These effects could lead to the emission of fast radio bursts
(FRBs), for example by asteroid-induced magnetic wake fields in the wind of the
compact object. A few percent of binary neutron star systems in the Universe,
such as neutron star-main sequence star, neutron star-white dwarf, double
neutron star, and neutron star-black hole systems, can account for the observed
non-repeating FRB rates. More remarkably, we find that wide and close companion
orbits lead to non-repeating and repeating sources, respectively, and they
allow for one to compute a ratio between repeating and non-repeating sources of
a few percent, which is in close agreement with the observations. Three major
predictions can be made from our scenario, which can be tested in the coming
years: 1) most repeaters should stop repeating after a period between 10 years
to a few decades, as their asteroid belts become depleted; 2) some
non-repeaters could occasionally repeat, if we hit the short period tail of the
FRB period distribution; and 3) series of sub-Jansky level short radio bursts
could be observed as electromagnetic counterparts of the mergers of binary
neutron star systems.
