Summary
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.
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References
G. Contopoulos:Astron. J.,75, 96 (1970).
G. Contopoulos andM. Zikides:Astron. Astrophys.,90, 198 (1980).
T. de Zeeuw andD. Merritt:Appl. J.,7, 267, 571 (1983).
N. Caranicolas andB. Barbanis:Astron. Astrophys.,114, 360 (1982).
T. de Zeeuw: unpublished Master’s Thesis, University of Leiden (1979).
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Caranicolas, N. Exact periodic orbits in an asymmetric dynamical system. Lett. Nuovo Cimento 41, 234–236 (1984). https://doi.org/10.1007/BF02747009
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DOI: https://doi.org/10.1007/BF02747009