  The present work studies the robustness of certain basic homoclinic motions
in an equilateral restricted four body problem. The problem can be viewed as a
two parameter family of conservative autonomous vector fields. The main tools
are numerical continuation techniques for homoclinic and periodic orbits, as
well as formal series methods for computing normal forms and center
stable/unstable manifold parameterizations. After careful numerical study of a
number of special cases we formulate several conjectures about the global
bifurcations of the homoclinic families.
