An application of the geometric algebra to the classical mechanic : the Kustaanheimo-Stiefel transformation / Uma aplicação da algebra geometrica a mecanica classica : a transformação de Kustaanheimo-Stiefel




In this dissertation we presented the Geometric Algebra of Euclidean Space and studied some of its properties. To exemplify its applications, we studied the Kustaanheimo-Stiefel Transformation in terms of Geometric Algebra. This purpose we presented initially the KS Transformation which regularizes the Kepler motion in three dimensions by removing a singularity at the origin, as it was originally formulated, based on matrix algebra. Done, the KS transformation is presented with Geometric Algebra, making clearer its geometric understanding and its development more simplified. With this goal the spinors concept use is of great importance


algebra geometrica mecanica classica algebra de clifford transformação (matematica) classical mechanics transformation (mathematical) geometric algebra clifford algebras

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