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arXiv · 2405.13262

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

Harry Gingold·Jocelyn Quaintance
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Abstract

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 are expressed in ``closed form'' in terms of elementary functions. They are specialized to the 2-body and the relative 2-body problem. The traveling wave solutions disclose the shape and position of wave fronts emanating from collisions by determining the location of the singularities of the traveling wave solutions.

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Harry Gingold, Jocelyn Quaintance. 2024-05-22. Traveling Wave Solutions For Newton's Equations of Celestial Mechanics: Kepler's Problem. https://arxiv.org/abs/2405.13262

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