Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Paez, Rocio"'
The significance of learning constraints from data is underscored by its potential applications in real-world problem-solving. While constraints are popular for modeling and solving, the approaches to learning constraints from data remain relatively
Externí odkaz:
http://arxiv.org/abs/2403.02042
The halo orbits of the spatial circular restricted three-body problem are largely considered in space-flight dynamics to design low-energy transfers between celestial bodies. A very efficient analytical method for the computation of halo orbits, and
Externí odkaz:
http://arxiv.org/abs/2203.16315
Starting with Arnold's pioneering work, the term "Arnold diffusion" has been used to describe the slow diffusion taking place in the space of the actions in Hamiltonian nonlinear dynamical systems with three or more degrees of freedom. The present te
Externí odkaz:
http://arxiv.org/abs/2111.03415
In the last decades a peculiar family of solutions of the Circular Restricted Three Body Problem has been used to explain the temporary captures of small bodies and spacecrafts by a planet of the Solar System. These solutions, which transit close to
Externí odkaz:
http://arxiv.org/abs/2011.14957
The dynamics near the Lagrange equilibria $L_1$ and $L_2$ of the Circular Restricted Three-body Problem has gained attention in the last decades due to its relevance in some topics such as the temporary captures of comets and asteroids and the design
Externí odkaz:
http://arxiv.org/abs/1904.04146
Cornerstone models of Physics, from the semi-classical mechanics in atomic and molecular physics to planetary systems, are represented by quasi-integrable Hamiltonian systems. Since Arnold's example, the long-term diffusion in Hamiltonian systems wit
Externí odkaz:
http://arxiv.org/abs/1812.05430
One of the most interesting features in the libration domain of co-orbital motions is the existence of secondary resonances. For some combinations of physical parameters, these resonances occupy a large fraction of the domain of stability and rule th
Externí odkaz:
http://arxiv.org/abs/1712.08460
Publikováno v:
In Acta Astronautica November 2022 200:97-110
Autor:
Paez, Rocio Isabel
The main subject of this work is the study of the problem of the Trojan orbits from a perturbative Hamiltonian perspective. We face this problem by introducing first a novel Hamiltonian formulation, exploiting the well-differentiated temporal scales
Externí odkaz:
http://arxiv.org/abs/1703.08819
A number of studies, referring to the observed Trojan asteroids of various planets in our Solar System, or to hypothetical Trojan bodies in extrasolar planetary systems, have emphasized the importance of so-called secondary resonances in the problem
Externí odkaz:
http://arxiv.org/abs/1606.04741