Traveling Wave Solutions For Newton's Equations of Celestial Mechanics: Kepler's Problem
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910455348330496 |
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| author | Gingold, Harry Quaintance, Jocelyn |
| author_facet | Gingold, Harry Quaintance, Jocelyn |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_13262 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Traveling Wave Solutions For Newton's Equations of Celestial Mechanics: Kepler's Problem Gingold, Harry Quaintance, Jocelyn Mathematical Physics Classical Analysis and ODEs Dynamical Systems 70F15, 85A04 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. |
| title | Traveling Wave Solutions For Newton's Equations of Celestial Mechanics: Kepler's Problem |
| topic | Mathematical Physics Classical Analysis and ODEs Dynamical Systems 70F15, 85A04 |
| url | https://arxiv.org/abs/2405.13262 |