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dc.contributor.advisorGidea, Marian
dc.contributor.advisorZypman, Fredy
dc.contributor.authorLam, Wai-Ting
dc.date.accessioned2021-02-09T15:58:22Z
dc.date.available2021-02-09T15:58:22Z
dc.date.issued2020-07
dc.identifier.citationLam, Wai Ting. (2020, July). Gravitational and electrostatic potential fields and dynamics of non-spherical systems.(28317337). [Doctoral Dissertation, Yeshiva University]. ProQuest Dissertations Publishing.en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12202/6621
dc.descriptionDoctoral Dissertation, Ph.D., Katz School of Science and Health, Open-Accessen_US
dc.description.abstractThis thesis is devoted to several aspects of the n-body problem in the context of two models of interest: the gravitational n-body problem and the electrostatic n-body problem. In the case of gravitational n-body problem, we study central configurations of three oblate bodies, the Hill approximation of the restricted four body problem with three oblate heavy bodies, and we find the equilibrium points of the Hill approximation and determine their linear stability. Also in the case of the gravitational n-body problem, we find equilibrium shapes of an irregular body, when the gravitational potential and the rotational potential balance each other. In particular, we find equilibrium dumbbell shapes. In the context of the electrostatic n-body problem, we use variational methods to find approximate solutions of the Poisson-Boltzmann equation, representing the electrostatic potential produced by charged colloidal particles. This research is motivated by applications to astrodynamics, dynamical astronomy and atomic force microscopy.en_US
dc.language.isoen_USen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectmathematicsen_US
dc.subjectapplied mathematicsen_US
dc.subjectastrophysicsen_US
dc.subjectdynamical systemen_US
dc.subjectdumbbell shapeen_US
dc.subjectgravitational potentialen_US
dc.subjectmicroscopyen_US
dc.subjectoblate bodiesen_US
dc.subjectstabilityen_US
dc.titleGravitational and electrostatic potential fields and dynamics of non-spherical systemsen_US
dc.typeDissertationen_US


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