8 citations · 9 across the 3 of their papers we have counts for
6 papers · 1 filter
On the Arnold diffusion mechanism in Medium Earth Orbit
Elisa Maria Alessi, Inmaculada Baldomá, Mar Giralt +1
Space debris mitigation guidelines represent the most effective method to preserve the circumterrestrial environment. Among them, end-of-life disposal solutions play a key role. A…
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…
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…
Hyperbolic dynamics and oscillatory motions in the 3 Body Problem
Marcel Guardia, Pau Martín, Jaime Paradela +1
Consider the planar 3 Body Problem with masses . In this paper we address two fundamental questions: the existence of oscillatory motions and of chaotic hyperbolic s…
Orbits of nearly integrable systems accumulating to KAM tori
Marcel Guardia, Vadim Kaloshin
Consider a sufficiently smooth nearly integrable Hamiltonian system of two and a half degrees of freedom in action-angle coordinates \[ H_ε(φ,I,t)=H_0(I)+εH_1(φ,I,t), φ\in T^2,\ I\…
Splitting of separatrices in the resonances of nearly integrable Hamiltonian Systems of one and a half degrees of freedom
Marcel Guardia
In this paper we consider general nearly integrable analytic Hamiltonian systems of one and a half degrees of freedom which are a trigonometric polynomial in the angular state vari…