130 citations · 421 across the 25 of their papers we have counts for
25 papers
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…
Trojan asteroids and co-orbital dust ring of Venus
Yang-Bo Xu, Lei Zhou, Christoph Lhotka +2
The long-standing co-orbital asteroids have been thought to be the possible source of zodiacal dust ring around the orbit of Venus, but inconsistent conclusions on the orbital stab…
Investigating Mercury's Environment with the Two-Spacecraft BepiColombo Mission
A. Milillo, M. Fujimoto, G. Murakami +76
The ESA-JAXA BepiColombo mission will provide simultaneous measurements from two spacecraft, offering an unprecedented opportunity to investigate magnetospheric and exospheric dyna…
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…
Tadpole type motion of charged dust in the Lagrange problem with planet Jupiter
Christoph Lhotka, Lei Zhou
We investigate the dynamics of charged dust interacting with the interplanetary magnetic field in a Parker spiral type model and subject to the solar wind and Poynting-Robertson ef…
Dynamics of charged dust in the orbit of Venus
Lei Zhou, Christoph Lhotka, Catalin Gales +2
We study the dynamics of co-orbital dust in the inner solar system, i.e. the role of the solar radiation pressure, Poynting-Robertson effect, solar wind, and the interplanetary mag…
Sub-ion scale Compressive Turbulence in the Solar wind: MMS spacecraft potential observations
Owen Wyn Roberts, Rumi Nakamura, Klaus Torkar +9
Compressive plasma turbulence is investigated at sub-ion scales in the solar wind using both the Fast Plasma Investigation (FPI) instrument on the Magnetospheric MultiScale mission…
Asteroid migration due to the Yarkovsky effect and the distribution of the Eos family
Yang-Bo Xu, Li-Yong Zhou, Christoph Lhotka +1
Based on a linearized model of the Yarkovsky effect, we investigate in this paper the dependence of the semimajor axis drift of a celestial body on its size, spinning obliquit…
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:…
Charged dust close to outer mean-motion resonances in the heliosphere
Christoph Lhotka, Catalin Gales
We investigate the dynamics of charged dust close to outer mean-motion resonances with planet Jupiter. The importance of the interplanetary magnetic field on the orbital evolution…
Orbital stability of ensembles of particles in regions of magnetic reconnection in Earth's magneto-tail
Christoph Lhotka, Philippe Bourdin, Elke Pilat-Lohinger
We investigate the collective behaviour of particle orbits in the vicinity of magnetic reconnection in Earth's magneto-tail. Various regions of different kinds of orbital stability…
Gravity field and solar component of the precession rate and nutation coefficients of Comet 67P Churyumov-Gerasimenko
Christoph Lhotka, Stefan Reimond, Jean Souchay +1
The aim of this study is first to determine the gravity field of the comet 67P Churyumov-Gerasimenko and second to derive the solar component of the precession rate and nutation co…
Charged dust grain dynamics subject to solar wind, Poynting-Robertson drag, and the interplanetary magnetic field
Christoph Lhotka, Philippe Bourdin, Yasuhito Narita
We investigate the combined effect of solar wind, Poynting-Robertson drag, and the frozen-in interplanetary magnetic field on the motion of charged dust grains in our solar system.…
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…
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…
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…
Transient times, resonances and drifts of attractors in dissipative rotational dynamics
A. Celletti, C. Lhotka
In a dissipative system the time to reach an attractor is often influenced by the peculiarities of the model and in particular by the strength of the dissipation. In particular, as…
The influence of orbital dynamics, shape and tides on the obliquity of Mercury
Benoit Noyelles, Christoph Lhotka
Earth-based radar observations of the rotational dynamics of Mercury (Margot et al. 2012) combined with the determination of its gravity field by MESSENGER (Smith et al. 2012) give…
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…
The orbit of 2010 TK7. Possible regions of stability for other Earth Trojan asteroids
Rudolf Dvorak, Christoph Lhotka, Liyong Zhou
Recently the first Earth Trojan has been observed (Mainzer et al., ApJ 731) and found to be on an interesting orbit close to the Lagrange point L4 (Connors et al., Nature 475). In…