For elliptical evader orbits the derived pursuit-evasion system is non-autonomous and equilibrium-free; faster pursuers achieve finite-time capture with an explicit upper bound while slower pursuers converge globally to a unique periodic orbit.
Princeton University Press, Princeton (2007)
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Dynamical Systems in Elliptical Pursuit and Evasion
For elliptical evader orbits the derived pursuit-evasion system is non-autonomous and equilibrium-free; faster pursuers achieve finite-time capture with an explicit upper bound while slower pursuers converge globally to a unique periodic orbit.