Sur la solution de Sundman du probleme des trois corps

TL;DR

This paper discusses Sundman's 1909 analytic solution to the three-body problem, challenging the common belief that it lacks such a solution, and explores its fundamental ideas and historical development.

Contribution

It presents a detailed overview of Sundman's analytic solution to the three-body problem, clarifying misconceptions and highlighting its historical context.

Findings

Sundman's solution is indeed analytic for the three-body problem.

The paper explains the core ideas behind Sundman's approach.

Historical analysis of the solution's development is provided.

Abstract

In contrast to a widely held opinion, the three-body problem has an analytic solution. This solution was found in 1909 by Sundman. The basic ideas behind it and its history are presented. ----- Contrairement \`a une opinion largement r\'epandue, le probl\`eme des trois corps poss\`ede une solution analytique. Cette solution fut d\'ecouverte en 1909 par Sundman. Nous pr\'esentons dans cet article les id\'ees de base et l'histoire de cette solution. ----- Entgegen einer weitverbreiteten Meinung ist das Dreik\"orperproblem analytisch l\"osbar. Diese L\"osung wurde 1909 von Sundman gefunden. Die ihr zugrundeliegenden Ideen und ihre Geschichte werden in einfacher Form dargestellt.