Critical homoclinics in a restricted four-body problem: numerical continuation and center manifold computations

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