English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Poincar\'e's approach to the three body problem has often been celebrated asa starting point of chaos theory in relation to the investigation of dynamicalsystems. Yet, Poincar\'e's strategy can also be analyzed as molded on - orcasted in - some specific algebraic practices for manipulating systems oflinear equations. These practices shed new light on both the novelty and thecollective dimensions of Poincar\'e's M\'ethodes nouvelles. As the structure ofa cast-iron building may be less noticeable than its creative fa\c{c}ade, thealgebraic cast of Poincar\'e's strategy is broken out of the mold in generatingthe novel methods of celestial mechanics. But as the various components thatare mixed in some casting process can still be detected in the resulting alloy,the algebraic cast of the M\'ethodes nouvelles points to some collectivedimensions of Poincar\'e's methods. An edited version of the present preprintis to be published in the journal \textit{L'astronomie} under the title"L'approche de Poincar\`E sur le probl\"Eme des trois corps". This publicationis an abstract in French language of a forthcoming paper - "The algebraic castof Poincar\`E's \textit{M\`Ethodes nouvelles}" - which will develop its mainclaims as well as the historiographical and mathematical issues raised insection 4 and section 5.

La fonte alg\'ebrique des M\'ethodes nouvelles de la m\'ecanique c\'eleste d'Henri Poincar\'e