A periodic solution to the three-body problem

This thesis covers a proof of the existence of the figure-8 solution to the three-body problem. Some properties of the solution include the fact that it is planar, periodic, and has the shape of the number 8. The thesis includes the physical laws used in the problem and their mathematical interpretation. It also introduces shape space, proving the existence of the solution in shape space, and then reconstructing the proof in the regular plane.

Publication Details

Journal
KTH Publication Database DiVA (KTH Royal Institute of Technology)
Published
2025-01-01
Primary Topic
Geochemistry and Geologic Mapping
Type
article
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article

A periodic solution to the three-body problem

KTH Publication Database DiVA (KTH Royal Institute of Technology)
Geochemistry and Geologic Mapping
article

A periodic solution to the three-body problem

article en

Abstract

This thesis covers a proof of the existence of the figure-8 solution to the three-body problem. Some properties of the solution include the fact that it is planar, periodic, and has the shape of the number 8. The thesis includes the physical laws used in the problem and their mathematical interpretation. It also introduces shape space, proving the existence of the solution in shape space, and then reconstructing the proof in the regular plane.

KTH Publication Database DiVA (KTH Royal Institute of Technology)
Openalex Percentile: Top 68%
Geochemistry and Geologic Mapping
Open Access PDFOpenAlex
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A periodic solution to the three-body problem · KTH Publication Database DiVA (KTH Royal Institute of Technology) (2025) | TGRS Research Map | TGRS