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

Autor:	Gingold, Harry, Quaintance, Jocelyn
Rok vydání:	2024
Předmět:	Mathematical Physics Mathematics - Classical Analysis and ODEs Mathematics - Dynamical Systems 70F15 85A04
Druh dokumentu:	Working Paper
Popis:	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. Comment: 18 pages, 8 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2405.13262 Zobrazit plný text záznamu View this record from Arxiv