Relevant bibliographies by topics / Lagrangian points

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Lagrangian points'

Author: Grafiati
Published: 4 June 2021
Last updated: 15 June 2025

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Journal articles on the topic "Lagrangian points"

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Linton, J. Oliver. "The Lagrangian points." Physics Education 52, no. 2 (2017): 023002. http://dx.doi.org/10.1088/1361-6552/aa568d.

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Hurkat, Pankaj, Nisha Patel, and Pruthul Desai. "Lagrangian Equilibrium Points." Resonance 30, no. 4 (2025): 477–503. https://doi.org/10.1007/s12045-025-1775-4.

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Innami, Nobuhiro. "Natural Lagrangian systems without conjugate points." Ergodic Theory and Dynamical Systems 14, no. 1 (1994): 169–80. http://dx.doi.org/10.1017/s0143385700007781.

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AbstractThe variation vector fields through extremals of the variational principles of natural Lagrangian functions satisfy the equation of Jacobi type. By making use of the Jacobi equation we obtain the estimates of measure-theoretic entropy for natural Lagrangian systems without conjugate points.
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Popescu, Mihai. "Optimal transfer from the lagrangian points." Acta Astronautica 12, no. 4 (1985): 225–28. http://dx.doi.org/10.1016/0094-5765(85)90036-0.

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Moyaux, P. M., and L. Vandembroucq. "Lagrangian intersections, critical points and Qcategory." Mathematische Zeitschrift 246, no. 1-2 (2004): 85–103. http://dx.doi.org/10.1007/s00209-003-0583-2.

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Naz, R., I. Naeem, and F. M. Mahomed. "First Integrals for Two Linearly Coupled Nonlinear Duffing Oscillators." Mathematical Problems in Engineering 2011 (2011): 1–14. http://dx.doi.org/10.1155/2011/831647.

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We investigate Noether and partial Noether operators of point type corresponding to a Lagrangian and a partial Lagrangian for a system of two linearly coupled nonlinear Duffing oscillators. Then, the first integrals with respect to Noether and partial Noether operators of point type are obtained explicitly by utilizing Noether and partial Noether theorems for the system under consideration. Moreover, if the partial Euler-Lagrange equations are independent of derivatives, then the partial Noether operators become Noether point symmetry generators for such equations. The difference arises in the gauge terms due to Lagrangians being different for respective approaches. This study points to new ways of constructing first integrals for nonlinear equations without regard to a Lagrangian. We have illustrated it here for nonlinear Duffing oscillators.
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Kosmas, Odysseas. "Energy Minimization Scheme for Split Potential Systems Using Exponential Variational Integrators." Applied Mechanics 2, no. 3 (2021): 431–41. http://dx.doi.org/10.3390/applmech2030024.

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In previous works we developed a methodology of deriving variational integrators to provide numerical solutions of systems having oscillatory behavior. These schemes use exponential functions to approximate the intermediate configurations and velocities, which are then placed into the discrete Lagrangian function characterizing the physical system. We afterwards proved that, higher order schemes can be obtained through the corresponding discrete Euler–Lagrange equations and the definition of a weighted sum of “continuous intermediate Lagrangians” each of them evaluated at an intermediate time node. In the present article, we extend these methods so as to include Lagrangians of split potential systems, namely, to address cases when the potential function can be decomposed into several components. Rather than using many intermediate points for the complete Lagrangian, in this work we introduce different numbers of intermediate points, resulting within the context of various reliable quadrature rules, for the various potentials. Finally, we assess the accuracy, convergence and computational time of the proposed technique by testing and comparing them with well known standards.
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Zhao, Wen Ling, Jing Zhang, and Jin Chuan Zhou. "Local Saddle Points Theory of a New Augmented Lagrangians." Advanced Materials Research 121-122 (June 2010): 123–27. http://dx.doi.org/10.4028/www.scientific.net/amr.121-122.123.

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In connection with Problem (P) with both the equality constraints and inequality constraints, we introduce a new augmented lagrangian function. We establish the existence of local saddle point under the weaker sufficient second order condition, discuss the relationships between local optimal solution of the primal problem and local saddle point of the augmented lagrangian function.
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Xia, Zhihong. "Homoclinic points and intersections of Lagrangian submanifold." Discrete & Continuous Dynamical Systems - A 6, no. 1 (2000): 243–53. http://dx.doi.org/10.3934/dcds.2000.6.243.

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Giuliatti Winter, S. M., O. C. Winter, and D. C. Mourão. "Peculiar trajectories around the Lagrangian equilateral points." Physica D: Nonlinear Phenomena 225, no. 1 (2007): 112–18. http://dx.doi.org/10.1016/j.physd.2006.10.006.

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Dissertations / Theses on the topic "Lagrangian points"

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McCaine, Gina. "Halo orbit design and optimization." Thesis, Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 2004. http://library.nps.navy.mil/uhtbin/hyperion/04Mar%5FMcCaine.pdf.

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Thesis (M.S. in Astronautical Engineering)--Naval Postgraduate School, March 2004.<br>Thesis advisor(s): I. Michael Ross, Don Danielson. Includes bibliographical references (p. 39-40). Also available online.
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Tolbert, Douglas Robert. "Spacecraft formation flight at sun-earth/moon libration points." Diss., Rolla, Mo. : Missouri University of Science and Technology, 2009. http://scholarsmine.mst.edu/thesis/pdf/Tolbert_09007dcc8069e8b8.pdf.

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Thesis (Ph. D.)--Missouri University of Science and Technology, 2009.<br>Vita. The entire thesis text is included in file. Title from title screen of thesis/dissertation PDF file (viewed August 14, 2009) Includes bibliographical references (p. 68-71).
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Lizy-Destrez, Stéphanie. "Operational scenarios optimization for resupply of crew and cargo of an International gateway Station located near the Earth-Moon-Lagrangian point-2." Thesis, Toulouse, ISAE, 2015. http://www.theses.fr/2015ESAE0034/document.

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Ce projet se place dans le contexte des futures missions habitées d’exploration du système solaire (avec un horizon de 2025), en respect de la feuille de route proposée par l’ISECG (International Space Exploration Coordination Group) [1]. Une nouvelle avancée serait de maintenir, à un des points de Lagrange du système Terre-Lune, en avant-poste, une station spatiale qui faciliterait l’accès vers les destinations telles que la Lune, Mars et les astéroïdes et permettrait de tester certaines technologies, notamment avant de les employer pour des missions plus lointaines. Un des principaux défis sera de maintenir en permanence et de garantir à bord la santé de l’équipage, à l’aide d’un centre médical (SMC) autonome arrimé à cette station. Se pose alors la problématique de la servitude d’une telle station, pendant la phase de déploiement (assemblage des différents modules constitutifs du centre médical) et la phase opérationnelle. Les enjeux résident, d’un point de vue global, dans la construction des scénarios opérationnels et, d’un point de vue local, la sélection de trajectoires, cherchant notamment à minimiser les incréments de vitesse (la dépense énergétique) et les temps de transport (sauvegarde des équipages). Quelles recommandations pourrait-on apporter en terme d’optimisation de trajectoire, satisfaisant des critères de dépense énergétique, durée de transport et sécurité ? Quels sont les verrous technologiques à lever pour permettre la réalisation d’une telle station spatiale? Quelles seraient les performances à viser pour les sous-systèmes critiques impliqués? Les résultats d’une telle étude permettraient d’ouvrir des perspectives de recherche et développement dans le domaine des vols habités, notamment dans le domaine du transport mais également dans l’optique d’une occupation de longue durée<br>In the context of future human space exploration missions in the solar system (with an horizon of 2025) and according to the roadmap proposed by ISECG (International Space Exploration Coordination Group) [1], a new step could be to maintain as an outpost, at one of the libration points of the Earth-Moon system, a space station. This would ease access to far destinations as Moon, Mars and asteroids and would allow to test some innovative technologies, before employing them for far distant human missions. One of the main challenges will be to maintain permanently, and ensure on board crew health thanks to an autonomous space medical center docked to the proposed space station, as a Space haven. Then the main problem to solve is to manage the station servitude, during deployment (modules integration) and operational phase. Challenges lie, on a global point of view, in the design of the operational scenarios and, on a local point of view, in trajectories selection, so as to minimize velocity increments (energy consumption) and transportation duration (crew safety). Which recommendations could be found out as far as trajectories optimization is concerned, that would fulfill energy consumption, transportation duration and safety criterion? What would technological hurdles be to rise for the building of such Space haven? What would be performances to aim at for critical sub-systems? Expected results of this study could point out research and development perspectives for human spaceflight missions and above all, in transportation field for long lasting missions.Thus, the thesis project, presented here, aims at from global system life-cycle decomposition, to identify by phase operational scenario and optimize resupply vehicle mission. The main steps of this project consist in:- Bibliographical survey, that covers all involved disciplines like mission analysis (Astrodynamics, Orbital mechanics, Orthography, N-Body Problem, Rendezvous…), Applied Mathematics, Optimization, Systems Engineering….- Entire system life-cycle analysis, so as to establish the entire set of scenarios for deployment and operations (nominal cases, degraded cases, contingencies…) and for all trajectories legs (Low Earth Orbit, Transfer, Rendezvous, re-entry…)- Trade-off analysis for Space Station architecture- Modeling of the mission legs trajectories- Trajectories optimizationThree main scenarios have been selected from the results of the preliminary design of the Space Station, named THOR: the Space Station deployment, the resupply cargo missions and the crew transportation. The deep analysis of those three main steps sorted out the criticality of the rendezvous strategies in the vicinity of Lagrangian points. A special effort has been set on those approach maneuvers. The optimization of those rendezvous trajectories led to consolidate performances (in term of energy and duration) of the global transfer from the Earth to the Lagrangian point neighborhood and return. Finally, recommendations have been deduced that support the Lagrangian points importance for next steps of Human Spaceflight exploration of the Solar system
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Salazar, Francisco Javier Tipán. "Deployment and maintenance of a satellite formation flight around L4 and L5 Lagrangian points in the earth-moon system based on low cost strategies." Instituto Nacional de Pesquisas Espaciais (INPE), 2012. http://urlib.net/sid.inpe.br/mtc-m19/2012/11.22.12.22.

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Este trabalho está focado em métodos de transferência a partir de uma órbita circular ao redor da Terra até órbitas periódicas ao redor dos pontos Lagrangianos \textit{L}$_{4}$ e \textit{L}$_{5}$ no sistema Terra-Lua, com aplicações para colocar vários satélites em vôo de formação. Os pontos Lagrangianos \textit{L}$_{4}$ e \textit{L}$_{5}$ estão localizados a 60 graus acima e embaixo da linha que conecta a Terra com a Lua e formam com estes dois corpos um triângulo equilátero. Estes pontos Lagrangianos são estáveis pela relação de massa entre a Terra e a Lua. Devido à sua distância, radiações eletromagnéticas que proveem da Terra e chegam até eles são substancialmente atenuadas. Dessa maneira, estes pontos Lagrangianos representam posições extraordinárias para colocar observatórios astronômicos. Inspirados nos recentes resultados em manobras assistidas por gravidade, os métodos de transferência implementados neste trabalho usam o campo gravitacional da Lua para atingir os pontos Lagrangianos. Nós aplicamos três diferentes técnicas para intersectar a esfera de influência da Lua: Transferências de Mínima Energia, Trajetórias G e Órbitas Caóticas, e mostramos que existem novas trajetórias alternativas para chegar até nosso objetivo. Nós encontramos vantagens em relação à Transferência de Hohmann tais como gasto menor de combustível e a possibilidade de usar o mesmo lançador para enviar os satélites até os pontos \textit{L}$_{4}$ e \textit{L}$_{5}$. O trabalho também apresenta um estudo das geometrias ao redor das órbitas periódicas centradas em \textit{L}$_{4}$ com boas propriedades para vôos em formação. Nós consideramos a possibilidade da existência de regiões com aceleração radial relativa zero com respeito à trajetória nominal. As simulações numéricas mostram que para evitar grandes variações das distâncias mutuas entre os satélites, a formação tem que estar localizada não ao longo da direção de aceleração radial relativa nula senão ao longo da direção de aceleração radial relativa mínima. Este trabalho está feito utilizando o modelo Circular Restrito de Três Corpos, considerando só o movimento no plano da órbita dos sistema Terra-Lua.<br>This thesis focuses on transfer methods from a circular parking orbit around the Earth to periodic orbits around the Lagrangian points \textit{L}$_{4}$ and \textit{L}$_{5}$ in the Earth-Moon system, with applications to place multiple satellites in formation flying. Lagrangian points \textit{L}$_{4}$ and \textit{L}$_{5}$ lie at 60 degrees ahead of and behind Moon in its orbit with respect to the Earth and form an equilateral triangle with the base of the line defined by those two bodies. These Lagrangian points are stable for the Earth-Moon mass ratio. Because of their distance, electromagnetic radiations from the Earth arrive on them substantially attenuated. As so, these Lagrangian points represent remarkable positions to host astronomical observatories. Inspired by the recent results in gravity assist maneuvers, the transfer methods implemented in this work use the gravita-tional field of the Moon to reach the Lagrangian points. We apply three different techniques to intersect the lunar sphere of influence: Minimum Energy Transfers, Trajectories G and Chaotic Orbits, and prove that there exist new alternative trajectories to reach our target. We find advantages over the Hohmann transfer such as less fuel spent and the possibility using only one rocket launcher to deliver spacecrafts to \textit{L}$_{4}$ and \textit{L}$_{5}$. The thesis also presents a study of geometries around periodic orbits centered at \textit{L}$_{4}$ with good properties for formation flying. We consider the possible existence of regions of zero relative radial acceleration with respect to the nominal trajectory. Numerical simulations show that to avoid large variations of the mutual distances between the spacecrafts, the formation flying must be arranged not along the direction of zero relative radial acceleration but along the direction of minimum relative radial acceleration. This work is done in the force model defined by the Circular Restricted Three Body Problem, considering only the motion on the plane of the orbit of the Earth-Moon system.
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Belati, Edmarcio Antonio. "Sensibilidade em fluxo de potência ótimo." Universidade de São Paulo, 2003. http://www.teses.usp.br/teses/disponiveis/18/18133/tde-07102015-154129/.

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Neste trabalho propomos uma abordagem para a resolução do problema de Fluxo de Potência Ótimo (FPO) perturbado. A metodologia consiste na obtenção da solução ótima para o problema inicial via um programa de FPO, e na utilização de sensibilidade para estimar novas soluções depois de ocorridas algumas perturbações no problema. Essas perturbações são variações de carga em uma ou mais barras do sistema. A técnica de sensibilidade está baseada nas informações de segunda ordem e nas condições de otimalidade. A obtenção da solução após ocorrerem perturbações no sistema é direta e não necessita de parâmetros iniciais e de correção, como penalidade e barreira, utilizados nos programas de FPO convencionais. Os resultados numéricos apresentados evidenciam o potencial desta metodologia para resolução do problema de FPO perturbado.<br>An approach to solve the perturbated Optimal Power Flow (OPF) problem is proposed in this study. The methodology consists in obtaining the optimal solution for the initial problem via a program of OPF, and using sensitivity to estimate new solutions after the occurrence of some perturbations in the problem. These perturbations consist in load variations in some buses of the system. The sensitivity technique is based on both the information of second order and otimality conditions. The computation of the solutions after the occurrence of perturbations in the system does not depend of initial and correction parameters such as penalty and barrier used in the conventional OPF programs. The numerical results demonstrate the potential of this methodology for the solution of the perturbated OPF problem.
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Mitra, Subhadeep. "Particle filtering with Lagrangian data in a point vortex model." Thesis, Massachusetts Institute of Technology, 2012. http://hdl.handle.net/1721.1/72873.

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Thesis (S.M.)--Massachusetts Institute of Technology, Computation for Design and Optimization Program, 2012.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (p. 131-138).<br>Particle filtering is a technique used for state estimation from noisy measurements. In fluid dynamics, a popular problem called Lagrangian data assimilation (LaDA) uses Lagrangian measurements in the form of tracer positions to learn about the changing flow field. Particle filtering can be applied to LaDA to track the flow field over a period of time. As opposed to techniques like Extended Kalman Filter (EKF) and Ensemble Kalman Filter (EnKF), particle filtering does not rely on linearization of the forward model and can provide very accurate estimates of the state, as it represents the true Bayesian posterior distribution using a large number of weighted particles. In this work, we study the performance of various particle filters for LaDA using a two-dimensional point vortex model; this is a simplified fluid dynamics model wherein the positions of vortex singularities (point vortices) define the state. We consider various parameters associated with algorithm and examine their effect on filtering performance under several vortex configurations. Further, we study the effect of different tracer release positions on filtering performance. Finally, we relate the problem of optimal tracer deployment to the Lagrangian coherent structures (LCS) of point vortex system.<br>by Subhadeep Mitra.<br>S.M.
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Arnaud, Marie-Claude. "Points périodiques et tores lagrangiens invariants des difféomorphismes symplectiques." Paris 7, 1990. http://www.theses.fr/1990PA077111.

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On montre que les dimensions elliptiques des points fixes des diffeomorphismes exacts symplectiques generiques du fibre cotangent du tore de dimension n qui sont proches de diffeomorphismes completement integrables a torsion non degeneree verifient un analogue des inegalites de morse, mais que ce n'est pas le cas pour les dimensions hyperboliques. A l'aide du theoreme de birkhoff-lewis, on applique ces resultats pour decrire les points periodiques qui s'accumulent sur les points fixes elliptiques de diffeomorphismes symplectiques generiques et au moins quatre fois differentiables. Ensuite, on montre le theoreme suivant: soit f un diffeomorphisme symplectique infiniment differentiable et generique d'une variete symplectique et compacte de dimension quatre. Alors, f n'a pas de tore invariant lagrangien de classe infinie contenant un point periodique. Pour cela, on applique des resultats dus a f. Oliveira et d. Pixton concernant les intersections heteroclines
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Liot, Olivier. "Approches innovantes en convection thermique turbulente. Influence des rugosités et étude Lagrangienne." Thesis, Lyon, École normale supérieure, 2015. http://www.theses.fr/2015ENSL1054/document.

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Lors de cette thèse nous avons étudié le phénomène de convection thermique turbulente. La compréhension des mécanismes du flux thermique induit est encore un défi. Dans cette optique, deux approches innovantes ont été utilisées. La première a consisté en une approche Lagrangienne. Dans un premier temps, nous avons immergé une particule instrumentée munie de capteurs de température. Sa vitesse a été mesurée simultanément afin de calculer le flux thermique local transporté. En comparant les mesures effectuées à des simulations numériques et à des mesures Eulériennes, la pertinence de cette méthode a été révélée. Nous avons ensuite ensemencé l'écoulement avec des particules de diamètre inférieur à l'échelle dissipative du système. Nous avons alors pu effectuer les suivre en 3D et nous intéresser aux statistiques turbulentes, ainsi qu'à la dispersion de paires. Nous avons ensuite étudié une configuration où la plaque du bas comporte des rugosités contrôlées. Il est reconnu que cela amène une augmentation du transfert thermique supérieure à celle reliée à l'augmentation de surface. Nous avons mis en évidence des mécanismes possibles qui expliquent ce phénomène. Des mesures thermométriques dans une cellule remplie d'eau ainsi que des mesures vélocimétriques dans une cellule six fois plus grande remplie d'air ont permis d'observer un changement radical de la structure des couches limites au voisinage des rugosités, notamment l'apparition d'une couche limite turbulente. Ces mesures ont été accompagnées de mesures de vitesse de l'écoulement global qui ont révélé une augmentation drastique des fluctuations de vitesse ainsi que l'apparition d'un nouveau régime de turbulence<br>In this work, turbulent thermal convection is studied. Undestanding the mechanisms of induced thermal flux is still a challenge. In this context we used two innovative approaches.The first one consists in a Lagrangian approach. An instrumented particle, designed for temperature measurements, is immersed in the flow. The simultaneous measurement of the temperature view from the particle and its velocity allowsto obtain local Lagrangian heat flux. By comparing these measurements with numerical simulation and Eulerian investigations we can assert the relevance of this method. Then we seeded the flow with particles whose diameter is smaller than the dissipative scale of the system. We performed 3D tracking to access to turbulent statistics and pair dipersion.On the other hand we study a configuration with controlled roughness on the bottom plate. It is well-known that it leads to thermal flux enhancement higher than the one linked to the surface increasing. We bring out possible mechanisms to explain this phenomenon. Thermometric measurements in water-filled cell and anemometric measurements in a six-time larger air-filled cell point out a dramatic change of the boundary layers structure close to roughness. Particularly a turbulent viscous boundary layer appears. Theses investigations are supplemented by velocity measurements of the global flow and reveal a large increase of velocity fluctuations and the appearance of a new turbulence regime
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Oberti, Pascal. "Satellites lagrangiens de Téthys et Dioné : réduction d'observations et théorie du mouvement." Observatoire de Paris, 1988. https://hal.archives-ouvertes.fr/tel-02095280.

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Découverts pendant le passage de la Terre dans le plan des anneaux de saturne, en 1980, ces satellites faibles se trouvent près des points de Lagrange équilatéraux de Téthys et Dioné. Quelques années d'observations ont fourni la base de l'étude de leur mouvement, donnant des positions précises sur lesquelles il est possible d'ajuster des simulations numériques. Celles-ci ont, à leur tour, aidé à calibrer un modèle analytique du mouvement permettant une bonne prédiction des positions de ces satellites.
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Wong, Brian 1978. "Dynamics of a multi-tethered satellite system near the sun-earth Lagrangian point." Thesis, McGill University, 2003. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=80151.

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This paper examines the dynamics of a tether connected multi-spacecraft system, arranged in a wheel-spoke configuration, in the vicinity of the L 2 Lagrangian point of the Sun-Earth system. First, the equations of motion of a N-body system are obtained and equilibrium configurations of the system are determined and small motions about one of these configurations are analyzed. Then, a numerical analysis of the free tether libration is carried out for a three-mass case when the system is near L2 and the parent mass is assumed to be in a halo orbit of different sizes. Finally, a set of control goals are defined and a time domain state feedback control system is integrated into the numerical model. The performance of the control system is tested under different conditions.
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Books on the topic "Lagrangian points"

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1959-, Fukaya Kenji, ed. Lagrangian intersection floer theory: Anomaly and obstruction. American Mathematical Society, 2009.

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G, Gómez, ed. Dynamics and mission design near libration points. World Scientific, 2001.

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Baldomá, Inmaculada. Exponentially small splitting of invariant manifolds of parabolic points. American Mathematical Society, 2004.

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Ambrosetti, A. Periodic solutions of singular Lagrangian systems. Birkhäuser, 1993.

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Mazzucchelli, Marco. Critical Point Theory for Lagrangian Systems. Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0163-8.

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service), SpringerLink (Online, ed. Critical Point Theory for Lagrangian Systems. Springer Basel AG, 2012.

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K, Prasad. Simulation studies on cyclone track prediction by quasi-lagrangian model (QLM) in some historical and recent cases in the Bay of Bengal, using global re-analysis and forecast grid point data sets. SAARC Meteorological Research Centre, 2006.

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Salzer, Herbert E., Norman Levine, and Saul Serben. Tables for Lagrangian Interpolation Using Chebyshev Points. Applied Science Pubn, 1988.

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Deruelle, Nathalie, and Jean-Philippe Uzan. Lagrangian mechanics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0008.

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This chapter shows how the Newtonian law of motion of a particle subject to a gradient force derived from a ‘potential energy’ can always be obtained from an extremal principle, or ‘principle of least action’. According to Newton’s first law, the trajectory representing the motion of a free particle between two points p1 and p2 is a straight line. In other words, out of all the possible paths between p1 and p2, the trajectory effectively followed by a free particle is the one that minimizes the length. However, even though the use of the principle of extremal length of the paths between two points gives the straight line joining the points, this does not mean that the straight-line path is traced with constant velocity in an inertial frame. Moreover, the trajectory describing the motion of a particle subject to a force is not uniform and rectilinear.
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Lagrangian intersection floer theory: Anomaly and obstruction. American Mathematical Society, 2009.

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Book chapters on the topic "Lagrangian points"

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Rouan, Daniel. "Lagrangian Points." In Encyclopedia of Astrobiology. Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-27833-4_858-2.

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Rouan, Daniel. "Lagrangian Points." In Encyclopedia of Astrobiology. Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-44185-5_858.

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Rouan, Daniel. "Lagrangian Points." In Encyclopedia of Astrobiology. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-11274-4_858.

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Rouan, Daniel. "Lagrangian Points." In Encyclopedia of Astrobiology. Springer Berlin Heidelberg, 2023. http://dx.doi.org/10.1007/978-3-662-65093-6_858.

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Panik, Michael J. "Lagrangian Saddle Points and Duality." In Mathematical Analysis and Optimization for Economists. Chapman and Hall/CRC, 2021. http://dx.doi.org/10.1201/9781003164494-13-13.

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Oh, Yong-Geun. "Critical Points of Potential Functions and Floer Cohomology." In Lagrangian Floer Theory and Its Deformations. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-97-1798-9_6.

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Innanen, K. A., S. Mikkola, and S. P. Zhang. "Stability of the Planetary Triangular Lagrangian Points." In Astrophysics and Space Science Library. Springer Netherlands, 1988. http://dx.doi.org/10.1007/978-94-009-2917-3_22.

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MacDougal, Douglas W. "Hovering in Space: Those Mysterious Lagrangian Points." In Newton's Gravity. Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-5444-1_19.

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Dvorak, Rudolf, and Elke Lohinger. "Stability Zones Around the Triangular Lagrangian Points." In Predictability, Stability, and Chaos in N-Body Dynamical Systems. Springer US, 1991. http://dx.doi.org/10.1007/978-1-4684-5997-5_37.

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Markellos, V. V., K. E. Papadakis, and E. A. Perdios. "Non-Linear Stability Zones Around the Triangular Lagrangian Points." In From Newton to Chaos. Springer US, 1995. http://dx.doi.org/10.1007/978-1-4899-1085-1_35.

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Conference papers on the topic "Lagrangian points"

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Gupta, P., A. Rattani, D. R. Kisku, C. J. Hwang, and J. K. Sing. "Palmprint verification using Lagrangian decomposition and invariant interest points." In SPIE Defense, Security, and Sensing, edited by Sos S. Agaian, Sabah A. Jassim, and Yingzi Du. SPIE, 2011. http://dx.doi.org/10.1117/12.888844.

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Kovalenko, Irina, and Natan Eysmont. "Final manoeuvre from highly elliptical orbit towards Lagrangian points." In 15th International Conference on Space Operations. American Institute of Aeronautics and Astronautics, 2018. http://dx.doi.org/10.2514/6.2018-2673.

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CASTELLÀ, ENRIC, and ÀNGEL JORBA. "THE LAGRANGIAN POINTS OF THE REAL EARTH-MOON SYSTEM." In Proceedings of the International Conference on Differential Equations. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812702067_0001.

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Oliveira, Geraldo M., Antonio F. Prado, Diogo M. Sanchez, and Vivian M. Gomes. "Traveling Between the Earth-Moon Lagrangian Points and the Earth." In SpaceOps 2016 Conference. American Institute of Aeronautics and Astronautics, 2016. http://dx.doi.org/10.2514/6.2016-2558.

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Wong, Brian, and Arun Misra. "Dynamics of Flexible Tether Connected Satellites Near Collinear Lagrangian Points." In AIAA/AAS Astrodynamics Specialist Conference. American Institute of Aeronautics and Astronautics, 2010. http://dx.doi.org/10.2514/6.2010-7966.

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Rashid, Tasneem, Yechiel Crispin, and Dongeun Seo. "Lagrangian Points and Jacobi Constants for a Class of Asteroids." In AIAA/AAS Astrodynamics Specialist Conference. American Institute of Aeronautics and Astronautics, 2016. http://dx.doi.org/10.2514/6.2016-5435.

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Wong, Brian, Rakesh Patil, and Arun Misra. "Attitude Dynamics of a Rigid Body around the Lagrangian Points." In AIAA/AAS Astrodynamics Specialist Conference and Exhibit. American Institute of Aeronautics and Astronautics, 2006. http://dx.doi.org/10.2514/6.2006-6653.

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ROSAEV, A. E. "ONE KIND OF COLLISION ORBITS RELATED TO LAGRANGIAN LIBRATION POINTS." In Proceedings of the Conference. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704849_0027.

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Ivanov, A. V. "Transversal connecting orbits of Lagrangian systems with turning points: Newton–Kantorovich method." In 2018 Days on Diffraction (DD). IEEE, 2018. http://dx.doi.org/10.1109/dd.2018.8553504.

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BERTACHINI DE ALMEIDA PRADO, A. F. "IMPULSIVE TRANSFERS TO/FROM THE LAGRANGIAN POINTS IN THE EARTH–SUN SYSTEM." In Proceedings of the Conference. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704849_0012.

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