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The notes of this book originate from three series of lectures given at the Centre de Recerca Matemàtica (CRM) in Barcelona. The first one is dedicated to the study of periodic solutions of autonomous differential systems in Rn via the Averaging Theory and was delivered by Jaume Llibre. The second one, given by Richard Moeckel, focusses on methods for studying Central Configurations. The last one, by Carles Simó, describes the main mechanisms leading to a fairly global description of the dynamics in conservative systems. The book is directed towards graduate students and researchers interested in dynamical systems, in particular in the conservative case, and aims at facilitating the understanding of dynamics of specific models. The results presented and the tools introduced in this book include a large range of applications.
The majority of books dealing with prospects for interstellar flight tackle the problem of the propulsion systems that will be needed to send a craft on an interstellar trajectory. The proposed book looks at two other, equally important aspects of such space missions, and each forms half of this two part book. Part 1 looks at the ways in which it is possible to exploit the focusing effect of the Sun as a gravitational lens for scientific missions to distances of 550 AU and beyond into interstellar space. The author explains the mechanism of the Sun as a gravitational lens, the scientific investigations which may be carried out along the way to a distance of 550 AU (and at the 550 AU sphere i...
This volume contains the edited texts of the lectures presented at the Workshop on Nonlinear Optimization held in Erice, Sicily, at the "G. Stampacchia" School of Mathematics of the "E. Majorana" Centre for Scientific Culture, June 23 -July 2, 1998. In the tradition of these meetings, the main purpose was to review and discuss recent advances and promising research trends concerning theory, algorithms and innovative applications in the field of Nonlinear Optimization, and of related topics such as Convex Optimization, Nonsmooth Optimization, Variational Inequalities and Complementarity Problems. The meeting was attended by 83 people from 21 countries. Besides the lectures, several formal and...
In this book the problem of station keeping is studied for orbits near libration points in the solar system. The main focus is on orbits near halo ones in the (Earth+Moon)-Sun system. Taking as starting point the restricted three-body problem, the motion in the full solar system is considered as a perturbation of this simplified model. All the study is done with enough generality to allow easy application to other primary-secondary systems as a simple extension of the analytical and numerical computations.
The aim of this book is to explain, analyze and compute the kinds of motions that appear in an extended vicinity of the geometrically defined equilateral points of the Earth-Moon system, as a source of possible nominal orbits for future space missions. The methodology developed here is not specific to astrodynamics problems. The techniques are developed in such a way that they can be used to study problems that can be modeled by dynamical systems.
In 2003 the XIV International Congress on Mathematical Physics (ICMP) was held in Lisbon with more than 500 participants. Twelve plenary talks were given in various fields of Mathematical Physics: E Carlen On the relation between the Master equation and the Boltzmann Equation in Kinetic Theory; A Chenciner Symmetries and "simple" solutions of the classical n-body problem; M J Esteban Relativistic models in atomic and molecular physics; K Fredenhagen Locally covariant quantum field theory; K Gawedzki Simple models of turbulent transport; I Krichever Algebraic versus Liouville integrability of the soliton systems; R V Moody Long-range order and diffraction in mathematical quasicrystals; S Smir...
Habitants et marchands, Twenty Years Later includes eleven essays, seven of which are in French, that highlight current research in Quebec studies. Danielle Gauvreau, Dale Miquelon, and Louis Michel survey recent developments on population, merchants, and rural society respectively. Allan Greer studies Kateri Tekakwitha, the first Amerindian to be beatified. William Wicken analyses relations between Mi'kmaq and Acadians. Bruce White and Thomas Wien examine the fur trade, with White focusing on the Lake Superior region and Wien on the St Lawrence Valley. Catherine Desbarats looks at the role of the state as a buyer of goods and services in Canada. Mario Lalancette and Alan M. Stewart study the evolution of Montreal's urban geography in the seventeenth century. Geneviève Postolec analyses matrimonial practices at Neuville, and Sylvie Dépatie examines the urban and peri-urban countryside in Montreal's gardens and orchards. The collection offers valuable perspectives on both the history of New France and the socio-economic history of colonial societies.
This book studies several problems related to the analysis of planned or possible spacecraft missions. It is divided into four chapters. The first chapter is devoted to the computation of quasiperiodic solutions for the motion of a spacecraft near the equilateral points of the Earth-Moon system. The second chapter gives a complete description of the orbits near the collinear point, L1, between the Earth and the Sun in the restricted three-body problem (RTBP) model. In the third chapter, methods are developed to compute the nominal orbit and to design and test the control strategy for the quasiperiodic halo orbits. In the last chapter, the transfer from the Earth to a halo orbit is studied.