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dc.contributor.supervisor Kocay, William (Computer Science) en_US
dc.contributor.author Dyck, Joel A.
dc.date.accessioned 2015-10-07T14:53:53Z
dc.date.available 2015-10-07T14:53:53Z
dc.date.issued 2015
dc.identifier.uri http://hdl.handle.net/1993/30869
dc.description.abstract This thesis develops methods to identify periodic solutions to the n-body problem by representing gravitational orbits with Fourier series. To find periodic orbits, a minimization function was developed that compares the second derivative of the Fourier series with Newtonian gravitation acceleration and modifies the Fourier coefficients until the orbits match. Software was developed to minimize the function and identify the orbits using gradient descent and quadratic curves. A Newtonian gravitational simulator was developed to read the initial orbit data and numerically simulate the orbits with accurate motion integration, allowing for comparison to the Fourier series orbits and investigation of their stability. The orbits found with the programs correlate with orbits from literature, and a number remain stable when simulated. en_US
dc.rights info:eu-repo/semantics/openAccess
dc.subject N-body problem en_US
dc.subject Periodic orbits en_US
dc.subject Newtonian gravitation en_US
dc.subject Fourier series en_US
dc.subject Scientific computing en_US
dc.title Periodic solutions to the n-body problem en_US
dc.type info:eu-repo/semantics/masterThesis
dc.type master thesis en_US
dc.degree.discipline Computer Science en_US
dc.contributor.examiningcommittee Meek, Dereck (Computer Science) Thulasiram, Ruppa (Computer Science) Osborn, Tom (Physics and Astronomy) en_US
dc.degree.level Master of Science (M.Sc.) en_US
dc.description.note February 2016 en_US


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