Sur les exposants caractéristiques associés aux solutions homographiques du problème des trois corps. (About the characteristic exponents associated with homographic solutions of the three body problem) (Q1822534)

The homographic solutions of the three-body problem are the relative equilibrium solutions representing at the same time the triple collision motion and the expansive tri-parabolic motion. As this solution are just the fixed points of a differential system, the author normalizes it using symmetric Jacobi's variables. A connection between the new characteristic exponents and Siegel's exponents is given. Because one of these exponents is not respecting the general law, this virtual anomaly is elucidated.