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astro-ph.EP2024
Dynamical Stability of the Laplace Resonance
Giuseppe Pucacco
We analyse the stability of the de Sitter equilibria in multi-resonant planetary systems. The de Sitter equilibrium is the dynamical state of the Laplace resonance in which all res…
math-ph2024
Bifurcation sequences in the secular 3D planetary 3-Body problem: a geometric approach
Rita Mastroianni, Antonella Marchesiello, Christos Efthymiopoulos +1
We implement the geometric method proposed in ([9], [3], [16]) to analytically predict the sequence of bifurcations leading to a change of stability and/or the appearance of new pe…