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Algebraic approaches to regularizing the Kepler problem.

Wiersema, G. S. P. (2014) Algebraic approaches to regularizing the Kepler problem. Bachelor's Thesis, Mathematics.

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Abstract

The Kepler problem treats the motion of two bodies interacting through a central force that obeys the inverse square law. The Kepler force has singularity at the origin and can be regularized by using quaternions, as shown by Waldvogel (2007), or by using spinors, as show by Bartsch (2003). Since quaternions are isomorphic to spinors, the two methods of regularization show many similarities, which are discussed in the last part of the paper.

Item Type: Thesis (Bachelor's Thesis)
Degree programme: Mathematics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 15 Feb 2018 07:59
Last Modified: 15 Feb 2018 07:59
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/12177

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