Article Dans Une Revue Archive for Rational Mechanics and Analysis Année : 2024

A limit of nonplanar 5-body central configurations is nonplanar

Résumé

Moeckel (1990), Moeckel and Sim\'o (1995) proved that, while continuously changing the masses, a 946-body planar central configuration bifurcates into a spatial central configuration. We show that this kind of bifurcation does not occur with 5 bodies. Question 17 in the list Albouy & al (2012) is thus answered negatively.

Dates et versions

hal-04284648 , version 1 (14-11-2023)

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Alain Albouy, Antonio Carlos Fernandes. A limit of nonplanar 5-body central configurations is nonplanar. Archive for Rational Mechanics and Analysis, 2024, 248 (1), pp.12. ⟨10.1007/s00205-023-01949-7⟩. ⟨hal-04284648⟩
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