Zobrazeno 1 - 10
of 363
pro vyhledávání: '"de la Llave, Rafael"'
Publikováno v:
Proceedings of the 2023 AAS/AIAA Astrodynamics Specialist Conference, Paper AAS 23-397
The overlapping of mean-motion resonances is useful for low or zero-propellant space mission design, but while most related prior work uses a planar CRTBP model, tours of multi-moon systems require using resonances affected by two moons. In this case
Externí odkaz:
http://arxiv.org/abs/2309.06073
We consider standard-like/Froeschl\'e maps with a dissipation and nonlinear perturbation. That is \[ T_\varepsilon(p,q) = \left( (1 - \gamma \varepsilon^3) p + \mu + \varepsilon V'(q), q + (1 - \gamma \varepsilon^3) p + \mu + \varepsilon V'(q) \mod 2
Externí odkaz:
http://arxiv.org/abs/2303.17291
We consider a Celestial Mechanics model: the spin-orbit problem with a dissipative tidal torque, which is a singular perturbation of a conservative system. The goal of this paper is to show that it is possible to compute quasi-periodic attractors acc
Externí odkaz:
http://arxiv.org/abs/2210.05796
Autor:
de la Llave, Rafael, Saprykina, Maria
\def\G{\mathcal G} \def\M{\mathcal M} \def\cE{\mathcal E} We prove an analog of Liv\v{s}ic theorem for real-analytic families of cocycles over an integrable system with values in a Banach algebra $\G$ or a Lie group. Namely, we consider an integrable
Externí odkaz:
http://arxiv.org/abs/2205.12356
Autor:
He, Xiaolong, de la Llave, Rafael
It is well known for experts that resonances in nonlinear systems lead to new invariant objects that lead to new behaviors. The goal of this paper is to study the invariant sets generated by resonances under foliation preserving torus maps. That is t
Externí odkaz:
http://arxiv.org/abs/2203.09146
Autor:
Yao, Yian, De La Llave, Rafael
We present and implement an algorithm for computing the invariant circle and the corresponding stable manifolds for 2-dimensional maps. The algorithm is based on the parameterization method, and it is backed up by an a-posteriori theorem established
Externí odkaz:
http://arxiv.org/abs/2110.15893
Autor:
Yao, Yian, De La Llave, Rafael
We present and analyze rigorously a quadratically convergent algorithm to compute an invariant circle for 2-dimensional maps along with the corresponding foliation by stable manifolds. We prove that when the algorithm starts from an initial guess tha
Externí odkaz:
http://arxiv.org/abs/2110.15882
Publikováno v:
Proceedings of the 2021 AAS/AIAA Astrodynamics Specialist Conference, Paper AAS 21-651
Many unstable periodic orbits of the planar circular restricted 3-body problem (PCRTBP) persist as invariant tori when a periodic forcing is added to the equations of motion. In this study, we compute tori corresponding to exterior Jupiter-Europa and
Externí odkaz:
http://arxiv.org/abs/2109.14815
When the planar circular restricted 3-body problem (PCRTBP) is periodically perturbed, as occurs in many useful astrodynamics models, most unstable periodic orbits persist as whiskered tori. Intersections between stable and unstable manifolds of such
Externí odkaz:
http://arxiv.org/abs/2109.14814
Publikováno v:
Commun Nonlinear Sci Numer Simulat 97(2021): 105691
In recent years, stable and unstable manifolds of invariant objects (such as libration points and periodic orbits) have been increasingly recognized as an efficient tool for designing transfer trajectories in space missions. However, most methods cur
Externí odkaz:
http://arxiv.org/abs/2109.14800