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20212024
most citedArrow Spaces: An Approach to Inner Product Spaces and Affine Geometry

1 citations · 1 across the 5 of their papers we have counts for

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5 papers

math-ph2024

Well Posed Origin Anywhere Consistent Systems in Celestial Mechanics

Harry Gingold, Jocelyn Quaintance

Certain measurements in celestial mechanics necessitate having the origin O of a Cartesian coordinate system (CCS) coincide with a point mass. For the two and three body problems w…

math-ph2024

Traveling Wave Solutions For Newton's Equations of Celestial Mechanics: Kepler's Problem

Harry Gingold, Jocelyn Quaintance

This article produces wave equations and constructs traveling wave solutions that are intimately related to Newton's equations of celestial mechanics. The traveling wave solutions…

math.MG2022★ 1 cited

Arrow Spaces: An Approach to Inner Product Spaces and Affine Geometry

Hussin Albahboh, Harry Gingold, Jocelyn Quaintance

Given a postulated set of points, an algebraic system of axioms is proposed for an "arrow space'". An arrow is defined to be an ordered set of two points <T, H>, named respectively…

math.CA2021

Symmetric Solutions to Nonlinear Vectorial 2nd Order ODE's

Ali Abdulhussein, Harry Gingold

It is proven that second-order vectorial nonlinear differential systems y''=f(y) , possess a continuum of symmetric solutions. They are shown to possess a continuum of even solutio…

math-ph2021

Celestial Mechanics Solutions where the Future is a Perfect Reflection of the Past

Ali Abdulhussein, Harry Gingold

Newton's equations of celestial mechanics are shown to possess a continuum of solutions in which the future trajectories of the N bodies are a perfect reflection of their past. The…