activity
20062023
most citedInvariant manifolds, phase correlations of chaotic orbits and the spiral structure of galaxies

69 citations · 865 across the 54 of their papers we have counts for

collaborators

54 papers

astro-ph.EP2023

Semi-analytical estimates for the chaotic diffusion in the Second Fundamental Model of Resonance. Application to Earth's navigation satellites

Edoardo Legnaro, Christos Efthymiopoulos, Maria Harsoula

We discuss the applicability of the Melnikov and Landau-Teller theories in obtaining semi-analytical estimates of the speed of chaotic diffusion in systems driven by the separatrix…

math-ph2023★ 4 cited

Relegation-free closed-form perturbation theory and the domain of secular motions in the Restricted 3-Body Problem

Mattia Rossi, Christos Efthymiopoulos

We propose a closed-form (i.e. without expansion in the orbital eccentricities) scheme for computations in perturbation theory in the restricted three-body problem (R3BP) when the…

gr-qc2023★ 15 cited

Action-Angle formalism for extreme mass ratio inspirals in Kerr spacetime

Morteza Kerachian, Lukáš Polcar, Viktor Skoupý +2

We introduce an action-angle formalism for bounded geodesic motion in Kerr black hole spacetime using canonical perturbation theory. Namely, we employ a Lie series technique to pro…

astro-ph.EP2022★ 7 cited

The phase-space architecture in extrasolar systems with two planets in orbits of high mutual inclination

Rita Mastroianni, Christos Efthymiopoulos

We revisit the secular 3D planetary three-body problem aiming to provide a unified formalism for studying the structure of the phase space for progressively higher values of the mu…

astro-ph.EP2022

A detailed dynamical model for inclination-only dependent lunisolar resonances. Effect on the "eccentricity growth" mechanism

Edoardo Legnaro, Christos Efthymiopoulos

The focus of this paper is on inclination-only dependent lunisolar resonances, which shape the dynamics of a MEO (Medium Earth Orbit) object over secular time scales (i.e. several…

math-ph2022★ 1 cited

Kolmogorov algorithm for isochronous Hamiltonian systems

Rita Mastroianni, Christos Efthymiopoulos

We present a Kolmogorov-like algorithm for the computation of a normal form in the neighborhood of an invariant torus in `isochronous' Hamiltonian systems, i.e., systems with Hamil…