Schutz, Bob E.2011-10-062017-05-112011-10-062017-05-112011-08August 201http://hdl.handle.net/2152/ETD-UT-2011-08-4236textPines’ and Gottlieb’s Formulations for the gravitational potential provides expressions for the gravitational potential, U, and its derivatives in a co-ordinate system that produces non-singular values. This report summarizes the origin of the singularities due to the spherical co-ordinate system and a discussion of the methods by which the singularity produced by the conventional representation of the gravitational potential is removed by the implementations described in this report.application/pdfengGravitational potentialNon-singularPinesGottliebthesis2011-10-062152/ETD-UT-2011-08-4236