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Gravitational capture

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dc.contributor.advisor Prof. C.M. Villet en_US
dc.contributor.author Anderson, Keegan Doig
dc.date.accessioned 2012-11-02T18:47:11Z
dc.date.available 2012-11-02T18:47:11Z
dc.date.issued 2012-11-02
dc.date.submitted 2011-11
dc.identifier.uri http://hdl.handle.net/10210/8053
dc.description M.Sc. en_US
dc.description.abstract Important ideas from dynamical systems theory and the restricted three-body problem are introduced. The intention is the application of dynamical systems theory techniques to the restricted three-body problem to better understand the phenomenon of gravitational capture. Chapter 1 gives a much deeper review of the purpose of this dissertation. Chapter 2 introduces and reviews important concepts from dynamical systems. Chapter 3 reviews the restricted three-body problem and all important aspects of the problem. In chapter 4 we define and study the phenomenon of gravitational capture. We take a novel approach by applying a symplectic method, namely the implicit midpoint method, to model trajectories in the restricted three-body problem. As far as we know, this is the first time such a method has actually been applied, with other authors preferring to apply explicit methods in trajectory modelling. In the closing of this chapter we review our whole discourse and suggest topics for future research. The disseration is concluded with two appendix chapters. In the first chapter we list all the computer code we have written for this dissertation. The second appendix chapter reviews the n-body problem and we show a full solution of the two-body problem. en_US
dc.language.iso en en_US
dc.subject Gravitation en_US
dc.subject Space trajectories
dc.subject Dynamics
dc.subject Three-body problem
dc.subject Two-body problem
dc.title Gravitational capture en_US
dc.type Thesis en_US

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