  Previous works on the divergence of first-order mean-motion resonances (MMRs)
have studied in detail the extent of the pericentric and apocentric libration
zones of adjacent first-order MMRs, highlighting possible bridges between them
in the low-eccentricity circular restricted three-body problem. Here, we
describe the previous results in the context of periodic orbits and show that
the so-called circular family of periodic orbits is the path that can drive the
passage between neighbouring resonances under dissipative effects. We
illustrate that the circular family can bridge first and higher order
resonances while its gaps at first-order MMRs can serve as boundaries that stop
transitions between resonances. In particular, for the Sun-asteroid-Jupiter
problem, we show that, during the migration of Jupiter in the protoplanetary
disc, a system initially evolving below the apocentric branch of a first-order
MMR follows the circular family and can either be captured into the pericentric
branch of an adjacent first-order MMR if the orbital migration is rapid or in a
higher order MMR in case of slow migration. Radial transport via the circular
family can be extended to many small body and planetary system configurations
undergoing dissipative effects (e.g., tidal dissipation, solar mass-loss and
gas drag).
