Show simple item record

dc.contributor.advisorGidea, Marian
dc.contributor.advisorZypman, Fredy
dc.contributor.authorLam, Wai-Ting
dc.identifier.citationLam, Wai Ting. (2020, July). Gravitational and electrostatic potential fields and dynamics of non-spherical systems.(28317337). [Doctoral Dissertation, Yeshiva University]. PQDTen_US
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.relation.ispartofseriesProQuest Dissertations & Theses Global ; Order No. 28317337 ; ProQuest document ID 2525649678
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.subjectapplied mathematicsen_US
dc.subjectdynamical systemen_US
dc.subjectdumbbell shapeen_US
dc.subjectgravitational potentialen_US
dc.subjectoblate bodiesen_US
dc.titleGravitational and electrostatic potential fields and dynamics of non-spherical systemsen_US

Files in this item


This item appears in the following Collection(s)

Show simple item record

Attribution-NonCommercial-NoDerivs 3.0 United States
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 United States