Restricted Three Body Problem library
##Introduction This is a library of functions for different computations related to the Restricted Three Body Problem, or RTBP for short. The software is available upon request (just email me), so that I can keep track of who's using it and why. This software has been developed for my own research, in particular for the following paper: "Diffusion along mean motion resonance in the restricted planar three-body problem" by J.Fejoz, M.Guardia, V.Kaloshin and P.Roldan. (link) The kind of functions that you will find here are
- Numerical integration of the RTBP equations (in Cartesian variables)
- Numerical integration of the RTBP equations (in Delaunay variables)
- Cartesian to Delaunay change of coordinates
- Numerical integration of the RTBP variational equations
- Poincare section and associated Poincare map (in Cartesian)
- Poincare section and associated Poincare map (in Delaunay)
- Numerical computation of (some family of) periodic orbits
- Hyperbolic splitting (eigenvalues/vects) associated to a fixed point of the Poincare map
- Numerical computation of hyperbolic invariant manifolds associated to fixed point
- Homoclinic intersection of invariant manifolds
- Numerical computation of splitting angle of the manifolds at the homoclinic intersection
##Acknowledgements A big thanks goes to Angel Jorba for altruistically sharing his ideas about RTBP computations with me. Moreover, he provided me with the high-precision Taylor method integrator which is at the base of some of my computations. See http://www.maia.ub.edu/~angel/soft.html.