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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-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…