Satellite Orbits, Oliver Montenbruck; Eberhard Gill

Автор: Michel Capderou
Название: Handbook of Satellite Orbits
ISBN: 3319344218 ISBN-13(EAN): 9783319344218
Издательство: Springer
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Описание: This book examines the great variety of satellite orbits, both in shape and properties. It presents the fundamental equations of mechanics used to explain and demonstrate the properties for all types of orbits.

Автор: Guochang Xu; Jia Xu
Название: Orbits
ISBN: 3642441807 ISBN-13(EAN): 9783642441806
Издательство: Springer
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Описание: In its 2nd edition, this book covers the theory of satellite orbits, derives the complete solutions of orbital disturbances, describes the algorithms of orbits determination and the applications of the theory to the phenomenon of physical satellite formation.

Автор: Guochang Xu
Название: Orbits
ISBN: 3642097286 ISBN-13(EAN): 9783642097287
Издательство: Springer
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Описание: This is the first book of the satellite era which describes orbit theory with analytical solutions of the second order with respect to all possible disturbances. Based on such theory, the algorithms of orbits determination are completely revolutionized.

Автор: Yasheng Zhang; Yanli Xu; Haijun Zhou
Название: Theory and Design Methods of Special Space Orbits
ISBN: 9811029474 ISBN-13(EAN): 9789811029479
Издательство: Springer
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Описание: This book focuses on the theory and design of special space orbits. Offering a systematic and detailed introduction to the hovering orbit, spiral cruising orbit, multi-target rendezvous orbit, initiative approaching orbit, responsive orbit and earth pole-sitter orbit, it also discusses the concept, theory, design methods and application of special space orbits, particularly the design and control method based on kinematics and astrodynamics. In addition the book presents the latest research and its application in space missions. It is intended for researchers, engineers and postgraduates, especially those working in the fields of orbit design and control, as well as space-mission planning and research.

Автор: Llibre, Jaume Moeckel, Richard Simo, Carles
Название: Central configurations, periodic orbits, and hamiltonian systems
ISBN: 3034809328 ISBN-13(EAN): 9783034809320
Издательство: Springer
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Описание: 1 The Averaging Theory for Computing Periodic Orbits.- Introduction: the classical theory.- Averaging theory for arbitrary order and dimension.- Three applications of Theorem.- 2 Lectures on Central Configurations.- The n-body problem.- Symmetries and integrals.- Central configurations and self-similar solutions.- Matrix equations of motion.- Homographic motions of central configurations in Rd.- Albouy-Chenciner reduction and relative equilibria in Rd.- Homographic motions in Rd.- Central configurations as critical points.- Collinear central configurations.- Morse indices of non-collinear central configurations.- Morse theory for CC's and SBC's.- Dziobek configurations.- Convex Dziobek central configurations.- Generic finiteness for Dziobek central configurations.- Some open problems.- 3 Dynamical Properties of Hamiltonian Systems.- Introduction.- Low dimension.- Some theoretical results, their implementation and practical tools.- Applications to Celestial Mechanics.

Автор: Guochang Xu; Jia Xu
Название: Orbits
ISBN: 3642327923 ISBN-13(EAN): 9783642327926
Издательство: Springer
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Цена: 20962.00 р.
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Описание: In its 2nd edition, this book covers the theory of satellite orbits, derives the complete solutions of orbital disturbances, describes the algorithms of orbits determination and the applications of the theory to the phenomenon of physical satellite formation.

Автор: Dana Schlomiuk
Название: Bifurcations and Periodic Orbits of Vector Fields
ISBN: 0792323920 ISBN-13(EAN): 9780792323921
Издательство: Springer
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Цена: 46399.00 р.
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Описание: The last thirty years were a period of continuous and intense growth in the subject of dynamical systems. New concepts and techniques and at the same time new areas of applications of the theory were found. The 31st session of the Seminaire de Mathematiques Superieures (SMS) held at the Universite de Montreal in July 1992 was on dynamical systems having as its center theme "Bifurcations and periodic orbits of vector fields". This session of the SMS was a NATO Advanced Study Institute (ASI). This ASI had the purpose of acquainting the participants with some of the most recent developments and of stimulating new research around the chosen center theme. These developments include the major tools of the new resummation techniques with applications, in particular to the proof of the non-accumulation of limit-cycles for real-analytic plane vector fields. One of the aims of the ASI was to bring together methods from real and complex dy- namical systems. There is a growing awareness that an interplay between real and complex methods is both useful and necessary for the solution of some of the problems. Complex techniques become powerful tools which yield valuable information when applied to the study of the dynamics of real vector fields. The recent developments show that no rigid frontiers between disciplines exist and that interesting new developments occur when ideas and techniques from diverse disciplines are married. One of the aims of the ASI was to show these multiple interactions at work.

Автор: Dino Boccaletti; Prof. Giuseppe Pucacco
Название: Theory of Orbits
ISBN: 3642082106 ISBN-13(EAN): 9783642082108
Издательство: Springer
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Описание: Half a century ago, S. Chandrasekhar wrote these words in the preface to his l celebrated and successful book: In this monograph an attempt has been made to present the theory of stellar dy- namics as a branch of classical dynamics - a discipline in the same general category as celestial mechanics. ... J Indeed, several of the problems of modern stellar dy- namical theory are so severely classical that it is difficult to believe that they are not already discussed, for example, in Jacobi's Vorlesungen. Since then, stellar dynamics has developed in several directions and at var- ious levels, basically three viewpoints remaining from which to look at the problems encountered in the interpretation of the phenomenology. Roughly speaking, we can say that a stellar system (cluster, galaxy, etc.) can be con- sidered from the point of view of celestial mechanics (the N-body problem with N 1), fluid mechanics (the system is represented by a material con- tinuum), or statistical mechanics (one defines a distribution function for the positions and the states of motion of the components of the system).

Автор: Dana Schlomiuk
Название: Bifurcations and Periodic Orbits of Vector Fields
ISBN: 9048143039 ISBN-13(EAN): 9789048143030
Издательство: Springer
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Цена: 46399.00 р.
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Описание: The last thirty years were a period of continuous and intense growth in the subject of dynamical systems. New concepts and techniques and at the same time new areas of applications of the theory were found. The 31st session of the Seminaire de Mathematiques Superieures (SMS) held at the Universite de Montreal in July 1992 was on dynamical systems having as its center theme "Bifurcations and periodic orbits of vector fields." This session of the SMS was a NATO Advanced Study Institute (ASI). This ASI had the purpose of acquainting the participants with some of the most recent developments and of stimulating new research around the chosen center theme. These developments include the major tools of the new resummation techniques with applications, in particular to the proof of the non-accumulation of limit-cycles for real-analytic plane vector fields. One of the aims of the ASI was to bring together methods from real and complex dy- namical systems. There is a growing awareness that an interplay between real and complex methods is both useful and necessary for the solution of some of the problems. Complex techniques become powerful tools which yield valuable information when applied to the study of the dynamics of real vector fields. The recent developments show that no rigid frontiers between disciplines exist and that interesting new developments occur when ideas and techniques from diverse disciplines are married. One of the aims of the ASI was to show these multiple interactions at work.

Автор: E.M. Soop
Название: Handbook of Geostationary Orbits
ISBN: 9048144531 ISBN-13(EAN): 9789048144532
Издательство: Springer
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Цена: 11878.00 р.
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Описание: This Handbook 0/ Geostationary Orbits is in principle an extension of the Introduction to Geostationary Orbits that was printed as a special publica- tion by the European Space Agency (ESA) in 1983.

Автор: Walter Borho; J.-L. Brylinski; R. MacPherson
Название: Nilpotent Orbits, Primitive Ideals, and Characteristic Classes
ISBN: 1461289106 ISBN-13(EAN): 9781461289104
Издательство: Springer
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Описание: 1. The Subject Matter. Consider a complex semisimple Lie group G with Lie algebra g and Weyl group W. In this book, we present a geometric perspective on the following circle of ideas: polynomials The "vertices" of this graph are some of the most important objects in representation theory. Each has a theory in its own right, and each has had its own independent historical development. - A nilpotent orbit is an orbit of the adjoint action of G on g which contains the zero element of g in its closure. (For the special linear group 2 G = SL(n, C), whose Lie algebra 9 is all n x n matrices with trace zero, an adjoint orbit consists of all matrices with a given Jordan canonical form; such an orbit is nilpotent if the Jordan form has only zeros on the diagonal. In this case, the nilpotent orbits are classified by partitions of n, given by the sizes of the Jordan blocks.) The closures of the nilpotent orbits are singular in general, and understanding their singularities is an important problem. - The classification of irreducible Weyl group representations is quite old.

Автор: Walter Borho; J.-L. Brylinski; R. MacPherson
Название: Nilpotent Orbits, Primitive Ideals, and Characteristic Classes
ISBN: 0817634738 ISBN-13(EAN): 9780817634735
Издательство: Springer
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Цена: 18167.00 р.
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Описание: - A nilpotent orbit is an orbit of the adjoint action of G on g which contains the zero element of g in its closure. (For the special linear group 2 G = SL(n,C), whose Lie algebra 9 is all n x n matrices with trace zero, an adjoint orbit consists of all matrices with a given Jordan canonical form;