Exponential instability of collision orbit in the anisotropic Kepler problem

Mathematics

Scientific paper

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

Scientific paper

The straight-line 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.

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