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Moeckel (1990), Moeckel and Sim\'o (1995) proved that, while continuouslychanging the masses, a 946-body planar central configuration bifurcates into aspatial central configuration. We show that this kind of bifurcation does notoccur with 5 bodies. Question 17 in the list Albouy & al (2012) is thusanswered negatively.

A limit of nonplanar 5-body central configurations is nonplanar