  We present a numerical study on the stability of all fourth- and fifth-order
retrograde mean motion resonances (1/3, 3/1, 1/4, 4/1, 2/3, and 3/2) in the
3-body problem composed of a solar mass star, a Jupiter mass planet, and an
additional body with zero mass (elliptic restricted problem) or masses
corresponding to either Neptune, Saturn, or Jupiter (planetary problem). The
fixed point families exist in all cases and are identified through libration of
all resonant angles simultaneously. In addition, configurations with libration
of a single resonant angle were also observed. Our results for the elliptic
restricted 3-body problem are in agreement with previous studies of retrograde
periodic orbits, but we also observe new families not previously reported. Our
results regarding stable resonant retrograde configurations in the planetary
3-body problem could be applicable to extra-Solar systems.

Earth and Planetary Astrophysics