Convexity of the figure eight solution to the three-body problem

• Autores: Toshiaki Fujiwara, Richard Montgomery
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 219, Nº 2, 2005, págs. 271-284
• Idioma: inglés
• DOI: 10.2140/pjm.2005.219.271
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• Resumen

  • The Newtonian three-body problem with equal masses has a remarkable solution where the bodies chase each other around a planar curve having the qualitative shape and symmetries of a gure eight. Here we prove that each lobe of this curve is convex.