A dihedral symmetry decomposition organizes degeneracy in n-gon plus central mass configurations mode-by-mode, with at most one critical central-mass value per Fourier mode l ≥ 2 and explicit determination of all such values.
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On the Degeneracy of the Central Configuration Formed by a Regular n-Gon with a Central Mass
A dihedral symmetry decomposition organizes degeneracy in n-gon plus central mass configurations mode-by-mode, with at most one critical central-mass value per Fourier mode l ≥ 2 and explicit determination of all such values.