The restricted problem: An extension of Breakwell-Perko's matching theory |
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| Authors: | Pierre Guillaume |
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| Institution: | 1. Notre-Dame de la Paix, Facultés Universitaires, 5000, Namur, Belgium
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| Abstract: | This paper extends Breakwell and Perko's ‘first order’ matching theory (1965, 1966) to a more general matching theory which is applicable to a wider class of second species solutions. In a first stage, the matching theory is elaborated on the basis of new assumptions on the orders of magnitude of the small parameters. In a second stage, we construct a matching theory which takes into account general assumptions which include our assumptions and Breakwell-Perko's. |
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