  Although the present-day orbital distribution of minor bodies that go around
the Sun between the orbit of Neptune and the Kuiper Cliff is well understood,
past ~50 au from the Sun, our vision gets blurred as objects become fainter and
fainter and their orbital periods span several centuries. Deep imaging using
the largest telescopes can overcome the first issue but the problems derived
from the second one are better addressed using data analysis techniques. Here,
we make use of the heliocentric range and range-rate of the known Kuiper belt
objects and their uncertainties to identify structures in orbital parameter
space beyond the Kuiper Cliff. The distribution in heliocentric range there
closely resembles that of the outer main asteroid belt with a gap at 70 au that
may signal the existence of a dynamical analogue of the Jupiter family comets.
Outliers in the distribution of mutual nodal distances suggest that a massive
perturber is present beyond the heliopause.
