44 citations · 170 across the 35 of their papers we have counts for
Showing 2023 · math.DSShow all
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math.DS2023
A remark on the onset of resonance overlap
Jacques Fejoz, Marcel Guardia
Chirikov's celebrated criterion of resonance overlap has been widely used in celestial mechanics and Hamiltonian dynamics to detect global instability, but is rarely rigourous. We…
math.DS2023★ 1 cited
A counterexample to the theorem of Laplace-Lagrange on the stability of semimajor axes
Andrew Clarke, Jacques Fejoz, Marcel Guardia
A longstanding belief has been that the semimajor axes, in the Newtonian planetary problem, are stable. In the course of the XIX century, Laplace, Lagrange and others gave stronger…
math.DS2023★ 2 cited
A degenerate Arnold diffusion mechanism in the Restricted 3 Body Problem
Marcel Guardia, Jaime Paradela, Tere M. Seara
A major question in dynamical systems is to understand the mechanisms driving global instability in the 3 Body Problem (3BP), which models the motion of three bodies under Newtonia…