45 Result(s)

Article

The Role of Tidal Forces in the Long-term Evolution of the Galilean System

The Galilean satellites of Jupiter are called Io, Europa, Ganymede and Callisto. The first three moons are found in the so-called Laplace resonance, which means that their orbits are locked in a

Alessandra Celletti, Efsevia Karampotsiou, Christoph Lhotka… in Regular and Chaotic Dynamics (2022)

Reference Work Entry In depth

Perturbation Theory and the Method of Detuning

Giuseppe Pucacco in Perturbation Theory (2022)

Living Reference Work Entry In depth

Perturbation Theory and the Method of Detuning

Giuseppe Pucacco in Encyclopedia of Complexity and Systems Science

Article

On the Detuned \(2\!{:}\!4\) Resonance

We consider families of Hamiltonian systems in two degrees of freedom with an equilibrium in 1 : 2 resonance. Under detuning, this “Fermi resonance” typically leads to normal modes losing their stability throu...

Heinz Hanßmann, Antonella Marchesiello, Giuseppe Pucacco in Journal of Nonlinear Science (2020)

Article

Lissajous and halo orbits in the restricted three-body problem by normalization method

We perform an analytical study of the Lissajous and halo orbits around collinear points L₁ and L₂ in a spatial circular restricted three-body problem of an arbitrary value of the mass ratio. Using a canonical tra...

Tong Luo, Giuseppe Pucacco, Ming Xu in Nonlinear Dynamics (2020)

Article

Structure of the centre manifold of the \(L_1,L_2\) collinear libration points in the restricted three-body problem

We present a global analysis of the centre manifold of the collinear points in the circular restricted three-body problem. The phase-space structure is provided by a family of resonant 2-DOF Hamiltonian normal...

Giuseppe Pucacco in Celestial Mechanics and Dynamical Astronomy (2019)

Article

Tidal effects on the LAGEOS–LARES satellites and the LARASE program

The effects of solid and ocean tides have been computed on the right ascension of the ascending node of the two LAGEOS and LARES satellites and on the argument of pericenter of LAGEOS II. Their effects—togethe...

Giuseppe Pucacco, David M. Lucchesi in Celestial Mechanics and Dynamical Astronomy (2018)

Article

The dynamics of the de Sitter resonance

We study the dynamics of the de Sitter resonance, namely the stable equilibrium configuration of the first three Galilean satellites. We clarify the relation between this family of configurations and the more ...

Alessandra Celletti, Fabrizio Paita… in Celestial Mechanics and Dynamical Astronomy (2018)

Article

Geostationary secular dynamics revisited: application to high area-to-mass ratio objects

The long-term dynamics of the geostationary Earth orbits (GEO) is revisited through the application of canonical perturbation theory. We consider a Hamiltonian model accounting for all major perturbations: geo...

Fabien Gachet, Alessandra Celletti… in Celestial Mechanics and Dynamical Astronomy (2017)

Article

Analytical development of the lunisolar disturbing function and the critical inclination secular resonance

We provide a detailed derivation of the analytical expansion of the lunar and solar disturbing functions. Although there exist several papers on this topic, many derivations contain mistakes in the final expan...

Alessandra Celletti, Cătălin Galeş… in Celestial Mechanics and Dynamical Astronomy (2017)

Chapter and Conference Paper

Bifurcations Thresholds of Halo Orbits

In this work an analytical study of the bifurcation of the halo orbits around the collinear points L ₁ and L ₂ for the circular, spatial, restricted three–body problem is presented. The energy level at which the ...

Marta Ceccaroni, Alessandra Celletti, Giuseppe Pucacco in Astrodynamics Network AstroNet-II (2016)

Article

Lissajous and Halo Orbits in the Restricted Three-Body Problem

We study the dynamics near the collinear Lagrangian points of the spatial, circular, restricted three-body problem. Following a standard procedure, we reduce the system to the center manifold and we analyze th...

Alessandra Celletti, Giuseppe Pucacco, Danilo Stella in Journal of Nonlinear Science (2015)

Article

Universal unfolding of symmetric resonances

We present the analysis of the bifurcation sequences of a family of resonant 2-DOF Hamiltonian systems invariant under spatial mirror symmetry and time reversion. The phase-space structure is investigated by a...

Antonella Marchesiello, Giuseppe Pucacco in Celestial Mechanics and Dynamical Astronomy (2014)