Zobrazeno 1 - 10
of 55
pro vyhledávání: '"Daquin, Jérôme"'
Lagrangian descriptors (LDs) based on the arc length of orbits previously demonstrated their utility in delineating structures governing the dynamics. Recently, a chaos indicator based on the second derivatives of the LDs, referred to as $\vert\vert
Externí odkaz:
http://arxiv.org/abs/2410.19435
Publikováno v:
J Astronaut Sci 71, 31 (2024)
Near-Earth space continues to be the focus of critical services and capabilities provided to the society. With the steady increase of space traffic, the number of Resident Space Objects (RSOs) has recently boomed in the context of growing concern due
Externí odkaz:
http://arxiv.org/abs/2310.14795
Autor:
Daquin, Jerome
We present our recent contributions to the theory of Lagrangian descriptors for discriminating ordered and deterministic chaotic trajectories. The class of Lagrangian Descriptors we are dealing with is based on the Euclidean length of the orbit over
Externí odkaz:
http://arxiv.org/abs/2309.10643
Autor:
Daquin, Jerome, Charalambous, Carolina
The Maximum Eccentricity Method (MEM) is a standard tool for the analysis of planetary systems and their stability. The method amounts to estimating the maximal stretch of orbits over sampled domains of initial conditions. The present paper leverages
Externí odkaz:
http://arxiv.org/abs/2212.02200
In the recent papers~[18],~[5], respectively, the existence of motions where the perihelions afford periodic oscillations about certain equilibria and the onset of a topological horseshoe have been proved. Such results have been obtained using, as ne
Externí odkaz:
http://arxiv.org/abs/2209.03114
Autor:
Daquin, Jerome, Pedenon-Orlanducci, Remi, Agaoglou, Makrina, Garcia-Sanchez, Guillermo, Mancho, Ana Maria
This paper introduces a new global dynamics and chaos indicator based on the method of Lagrangian Descriptor apt for discriminating ordered and deterministic chaotic motions in multidimensional systems. The selected implementation of this method requ
Externí odkaz:
http://arxiv.org/abs/2206.04467
Despite extended past studies, several questions regarding the resonant structure of the medium-Earth orbit (MEO) region remain hitherto unanswered. This work describes in depth the effects of the $2g+h$ lunisolar resonance. In particular, (i) we com
Externí odkaz:
http://arxiv.org/abs/2107.14507
We describe the phase space structures related to the semi-major axis of Molniya-like satellites subject to tesseral and lunisolar resonances. In particular, the questions answered in this contribution are: (i) we study the indirect interplay of the
Externí odkaz:
http://arxiv.org/abs/2103.06251
The aim of this work is to analyze the orbital evolution of the mean eccentricity given by the Two-Line Elements (TLE) set of the Molniya satellites constellation. The approach is bottom-up, aiming at a synergy between the observed dynamics and the m
Externí odkaz:
http://arxiv.org/abs/2007.04341
We highlight the existence of a topological horseshoe arising from a a--priori stable model of the binary asteroid dynamics. The inspection is numerical and uses correctly aligned windows, as described in a recent paper by A. Gierzkiewicz and P. Zgli
Externí odkaz:
http://arxiv.org/abs/2006.11057