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Titlebook: Generating Families in the Restricted Three-Body Problem; II. Quantitative Stu Michel Hénon Book 2001 Springer-Verlag Berlin Heidelberg 200

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Definitions and General Equations, about cross-references. All references to Chapters 1 to 10 (for instance, the reference to Sect. 2.1 below) are to be found in volume I, while all references to Chapters 11 to 23 are to be found in the present volume II.
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Partial Transition 2.1,.-regions. The values of the variables for a .-arc are given explicitly by (17.157) and (17.158). For a .-region, on the other hand, we have only the implicit system of equations (17.154), which we consider now.
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John Loughran,Amanda Berry,Pamela Mulhallbook presents a general geometrical framework, based on the fundamental concept of ., for the study of algebraic, ordinary differential, and partial differential equations in the vicinity of a singular point. Chapter 2 applies that framework to the case of a system of nonlinear equations.
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