2 papers
math.DS2020
Critical homoclinics in a restricted four body problem: numerical continuation and center manifold computations
Wouter Hetebrij, J. D. Mireles James
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 c…
math.DS2018
Homoclinic dynamics in a restricted four body problem
Shane Kepley, J. D. Mireles James
We describe a method for computing an atlas for the stable or unstable manifold attached to an equilibrium point, and implement the method for the saddle-focus libration points of…