130 citations · 421 across the 25 of their papers we have counts for
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The dynamics of the spin-spin problem in Celestial Mechanics
Adrián P. Bustamante, Alessandra Celletti, Christoph Lhotka
This work investigates different models of rotational dynamics of two rigid bodies with the shape of an ellipsoid, moving under their gravitational influence. The focus of this stu…
The dynamics around the collinear points of the elliptic three-body problem: A normal form approach
Alessandra Celletti, Christoph Lhotka, Giuseppe Pucacco
We study the dynamics of the collinear points in the planar, restricted three-body problem, assuming that the primaries move on an elliptic orbit around a common barycenter. The eq…
Breakdown of rotational tori in 2D and 4D conservative and dissipative standard maps
Adrian P. Bustamante, Alessandra Celletti, Christoph Lhotka
We study the breakdown of rotational invariant tori in 2D and 4D standard maps by implementing three different methods. First, we analyze the domains of analyticity of a torus with…
Effective resonant stability of Mercury
M. Sansottera, C. Lhotka, A. Lemaître
Mercury is the unique known planet that is situated in a 3:2 spin-orbit resonance nowadays. Observations and models converge to the same conclusion: the planet is presently deeply…
Effective stability around the Cassini state in the spin-orbit problem
Marco Sansottera, Christoph Lhotka, Anne Lemaître
We investigate the long-time stability in the neighborhood of the Cassini state in the conservative spin-orbit problem. Starting with an expansion of the Hamiltonian in the canonic…
Stability of nearly-integrable systems with dissipation
Alessandra Celletti, Christoph Lhotka
We study the stability of a vector field associated to a nearly-integrable Hamiltonian dynamical system to which a dissipation is added. Such a system is governed by two parameters…
Stability estimates of nearly-integrable systems with dissipation and non-resonant frequency
Alessandra Celletti, Christoph Lhotka
We consider a dissipative vector field which is represented by a nearly-integrable Hamiltonian flow to which a non symplectic force is added, so that the phase space volume is not…