50 citations · 456 across the 38 of their papers we have counts for
18 papers · 1 filter
Nekhoroshev estimates for the orbital stability of Earth's satellites
Alessandra Celletti, Irene De Blasi, Christos Efthymiopoulos
We provide stability estimates, obtained by implementing the Nekhoroshev theorem, in reference to the orbital motion of a small body (satellite or space debris) around the Earth. W…
Proper Elements for Space Debris
Alessandra Celletti, Giuseppe Pucacco, Tudor Vartolomei
Proper elements are quasi-invariants of a Hamiltonian system, obtained through a normalization procedure. Proper elements have been successfully used to identify families of astero…
Laplace-like resonances with tidal effects
A. Celletti, E. Karampotsiou, C. Lhotka +2
We generalize the Laplace resonance among three satellites, S1, S2 , and S3, by considering different ratios of the mean-longitude variations. These resonances, which we call Lapla…
Resonances in the Earth's Space Environment
Alessandra Celletti, Catalin Gales, Christoph Lhotka
We study the presence of resonances in the region of space around the Earth. We consider a massless body (e.g, a dust particle or a small space debris) subject to different forces:…
Accurate modelling of the low-order secondary resonances in the spin-orbit problem
Ioannis Gkolias, Christos Efthymiopoulos, Alessandra Celletti +1
We provide an analytical approximation to the dynamics in each of the three most important low order secondary resonances (1:1, 2:1, and 3:1) bifurcating from the synchronous prima…
Element history of the Laplace resonance: a dynamical approach
Fabrizio Paita, Alessandra Celletti, Giuseppe Pucacco
We consider the three-body mean motion resonance defined by the Jovian moons Io, Europa, and Ganymede, which is commonly known as the Laplace resonance. In particular, we construct…
The dynamics of the de Sitter resonance
Alessandra Celletti, Fabrizio Paita, Giuseppe Pucacco
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…
Dynamics of resonances and equilibria of Low Earth Objects
Alessandra Celletti, Cătălin Galeş
The nearby space surrounding the Earth is densely populated by artificial satellites and instruments, whose orbits are distributed within the Low-Earth-Orbit region (LEO), ranging…
Hamiltonian formulation of the spin-orbit model with time-varying non-conservative forces
Ioannis Gkolias, Christos Efthymiopoulos, Giuseppe Pucacco +1
In a realistic scenario, the evolution of the rotational dynamics of a celestial or artificial body is subject to dissipative effects. Time-varying non-conservative forces can be d…
Dynamical models and the onset of chaos in space debris
Alessandra Celletti, Christos Efthymiopoulos, Fabien Gachet +2
The increasing threat raised by space debris led to the development of different mathematical models and approaches to investigate the dynamics of small particles orbiting around t…
Geostationary secular dynamics revisited: application to high area-to-mass ratio objects
Fabien Gachet, Alessandra Celletti, Giuseppe Pucacco +1
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…
A study of the lunisolar secular resonance
Alessandra Celletti, Catalin Gales
The dynamics of small bodies around the Earth has gained a renewed interest, since the awareness of the problems that space debris can cause in the nearby future. A relevant role i…
Poynting-Robertson drag and solar wind in the space debris problem
Christoph Lhotka, Alessandra Celletti, Catalin Gales
We analyze the combined effect of Poynting-Robertson and solar wind drag on space debris. We derive a model within Cartesian, Gaussian and Hamiltonian frameworks. We focus on the g…
The theory of secondary resonances in the spin-orbit problem
Ioannis Gkolias, Alessandra Celletti, Christos Efthymiopoulos +1
We study the resonant dynamics in a simple one degree of freedom, time dependent Hamiltonian model describing spin-orbit interactions. The equations of motion admit periodic soluti…
Bifurcations of lunisolar secular resonances for space debris orbits
Alessandra Celletti, Cătălin Galeş, Giuseppe Pucacco
Using bifurcation theory, we study the secular resonances induced by the Sun and Moon on space debris orbits around the Earth. In particular, we concentrate on a special class of s…
Analytical development of the lunisolar disturbing function and the critical inclination secular resonance
Alessandra Celletti, Cătălin Galeş, Giuseppe Pucacco +1
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 contai…
A study of the main resonances outside the geostationary ring
Alessandra Celletti, Catalin Gales
We investigate the dynamics of satellites and space debris in external resonances, namely in the region outside the geostationary ring. Precisely, we focus on the 1:2, 1:3, 2:3 res…
The effect of Poynting-Robertson drag on the triangular Lagrangian points
Christoph Lhotka, Alessandra Celletti
We investigate the stability of motion close to the Lagrangian equilibrium points L4 and L5 in the framework of the spatial, elliptic, restricted three- body problem, subject to th…