  In order to study the ram-pressure interaction between radio galaxies and the
intracluster medium, we analyse a sample of 208 highly-bent narrow-angle tail
radio sources (NATs) in clusters, detected by the LOFAR Two-metre Sky Survey.
For NATs within $7\,R_{500}$ of the cluster centre, we find that their tails
are distributed anisotropically with a strong tendency to be bent radially away
from the cluster, which suggests that they are predominantly on radially
inbound orbits. Within $0.5\,R_{500}$, we also observe an excess of NATs with
their jets bent towards the cluster core, indicating that these outbound
sources fade away soon after passing pericentre. For the subset of NATs with
spectroscopic redshifts, we find the radial bias in the jet angles exists even
out to $10\,R_{500}$, far beyond the virial radius. The presence of NATs at
such large radii implies that significant deceleration of the accompanying
inflowing intergalactic medium must be occurring there to create the ram
pressure that bends the jets, and potentially even triggers the radio source.
