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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…