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dc.contributor.advisorMatzner, Richarden
dc.creatorDoss, Joelen
dc.date.accessioned2016-05-23T19:21:23Z
dc.date.available2016-05-23T19:21:23Z
dc.date.issued2016-05en
dc.identifierdoi:10.15781/T2VD6P43Ren
dc.identifier.urihttp://hdl.handle.net/2152/37270en
dc.description.abstractA Post-Minkowskian N-body code, with computational complexity scaling of N2 and quadruple precision, was written using the closed form Hamiltonian derived by Ledvinka et al. (2008).12 While the code has been written to handle an arbitrary number of particles, the scaling limits the number of particles in practice. The code uses a fourth-order Runge-Kutta integration method, which is applied to Hamilton’s equations to form a set of 2N first-order, coupled ODEs. It was shown that the code numerically converges to unique solutions for two-body interactions in the Newtonian regime and the relativistic regime. The analytical solutions are discussed afterwards.en
dc.language.isoengen
dc.relation.ispartofHonors Thesesen
dc.subjectGeneral Relativityen
dc.subjectN-body Codeen
dc.subjectLinearized Gravityen
dc.subjectNumerical Integrationen
dc.titleConvergence Behaviors of a Post-Minkowskian N-Body Code in the Regime of Two-Body Interactionsen
dc.typeThesisen
dc.description.departmentPhysicsen
dc.rights.restrictionOpenen


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