Deceleration of kicked objects due to the Galactic potential

Various stellar objects experience a velocity kick at some point in their evolution. These include neutron stars and black holes at their birth or binary systems when one of the two components goes supernova. For most of these objects, the magnitude of the kick and its impact on the object dynamics remains a topic of debate. We investigate how kicks alter the velocity distribution of objects born in the Milky Way disc, both immediately after the kick and at later times, and whether these kicks are encoded in the observed population of Galactic neutron stars. We simulate the Galactic trajectories of point masses on circular orbits in the disc after being perturbed by an isotropic kick, with a Maxwellian distribution of magnitudes with $\sigma=265$ km/s. Then, we simulate the motion of these point masses for $200$ Myr. These trajectories are then evaluated, either for the Milky Way population as a whole or for those passing within two kiloparsecs of the Sun, to get the time evolution of the velocities. During the first $20$ Myr, the bulk velocity of kicked objects becomes temporarily aligned to the cylindrical radius, implying an anisotropy in the velocity orientations. Beyond this age, the velocity distribution shifts toward lower values and settles to a median of $\sim200$ km/s. Around the Sun, the distribution also loses its upper tail, primarily due to unbound objects escaping the Galaxy. We compare this to the velocities of Galactic pulsars and find that pulsars show a similar evolution with characteristic age. The shift of the velocity distribution is due to bound objects spending most of their orbits at larger radii after the kick. They are, therefore, decelerated by the Galactic potential. We find the same deceleration to be predicted for nearby objects and the total population and conclude it is also observed in Galactic pulsars.