Scattering invariants in Euler's two-center problem

The problem of two fixed centers was introduced by Euler as early as in 1760. It plays an important role both in celestial mechanics and in the microscopic world. In the present paper we study the spatial problem in the case of arbitrary (both positive and negative) strengths of the centers. Combini...

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Veröffentlicht in:	Nonlinearity 2019-04, Vol.32 (4), p.1296-1326
Hauptverfasser:	Martynchuk, N, Dullin, H R, Efstathiou, K, Waalkens, H
Format:	Artikel
Sprache:	eng
Schlagworte:	action-angle coordinates Hamiltonian system Liouville integrability scattering map scattering monodromy
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