Exact periodic orbits in an asymmetric dynamical system
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Exact periodic orbits are found analytically in a time-independent, two-dimensional potential field. This potential is considered to represent stellar motion near the centre of a real elliptical galaxy, that shows small asymmetries due to the effect of companions. The theoretical results coincide with those given by numerical integration.
PACS03.20 Classical mechanics of discrete systems: general mathematical aspects
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