Abstract
In this paper we give a brief description of the well known continuation method of Poincaré for autonomous differential systems. This method provides sufficient conditions under which a known periodic or bit of a system of differential equations depending on a small parameter can be continued in the parameter. Then we apply the method to study the families of symmetric periodic orbits of the collinear 3-body problem when the two non-central masses are sufficiently small.
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Corbera, M., Llibre, J. (2003). Symmetric Periodic Orbits for the Collinear 3-body Problem Via the Continuation Method. In: Macias, A., Uribe, F., Diaz, E. (eds) Developments in Mathematical and Experimental Physics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-0199-2_8
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DOI: https://doi.org/10.1007/978-1-4615-0199-2_8
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