Exponential Instability of Collision Orbit in the Anisotropic Kepler Problem
Abstract
The straightline collision solution in the anisotropic Kepler problem is extended to a periodic solution by means of Sundman's analytic continuation. It is shown that this collision periodic solution is always exponentially unstable.
 Publication:

Celestial Mechanics
 Pub Date:
 March 1987
 DOI:
 10.1007/BF01232324
 Bibcode:
 1987CeMec..40...51Y
 Keywords:

 Kepler Laws;
 Numerical Stability;
 Orbit Calculation;
 Orbit Perturbation;
 Periodic Functions;
 Analytic Functions;
 Collisions;
 Degrees Of Freedom;
 Hamiltonian Functions;
 Matrices (Mathematics);
 Astrophysics