Dynamics And Mission Design Near Libration Points Vol Iii Advanced Methods For Collinear Points

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Dynamics And Mission Design Near Libration Points, Vol Iii: Advanced Methods For Collinear Points

Author : Gerard Gomez
Publisher : World Scientific
ISBN 13 : 9814493651
Total Pages : 203 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Dynamics And Mission Design Near Libration Points, Vol Iii: Advanced Methods For Collinear Points by : Gerard Gomez

Download or read book Dynamics And Mission Design Near Libration Points, Vol Iii: Advanced Methods For Collinear Points written by Gerard Gomez and published by World Scientific. This book was released on 2001-02-12 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Dynamics and Mission Design Near Libration Points: Advanced methods for collinear points

Author : Gerard G¢mez
Publisher : World Scientific
ISBN 13 : 9810242115
Total Pages : 203 pages
Book Rating : 4.8/5 (12 download)

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Book Synopsis Dynamics and Mission Design Near Libration Points: Advanced methods for collinear points by : Gerard G¢mez

Download or read book Dynamics and Mission Design Near Libration Points: Advanced methods for collinear points written by Gerard G¢mez and published by World Scientific. This book was released on 2001 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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, 1, 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.

Dynamics And Mission Design Near Libration Points, Vol Iv: Advanced Methods For Triangular Points

Author : Gerard Gomez
Publisher : World Scientific
ISBN 13 : 981449366X
Total Pages : 274 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Dynamics And Mission Design Near Libration Points, Vol Iv: Advanced Methods For Triangular Points by : Gerard Gomez

Download or read book Dynamics And Mission Design Near Libration Points, Vol Iv: Advanced Methods For Triangular Points written by Gerard Gomez and published by World Scientific. This book was released on 2001-02-12 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Dynamics and Mission Design Near Libration Points

Author : Gerard Gómez
Publisher : World Scientific
ISBN 13 : 9789812810632
Total Pages : 466 pages
Book Rating : 4.8/5 (16 download)

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Book Synopsis Dynamics and Mission Design Near Libration Points by : Gerard Gómez

Download or read book Dynamics and Mission Design Near Libration Points written by Gerard Gómez and published by World Scientific. This book was released on 2001 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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, L 1, 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 qua

Dynamics And Mission Design Near Libration Points - Vol I: Fundamentals: The Case Of Collinear Libration Points

Author : Gerard Gomez
Publisher : World Scientific
ISBN 13 : 9814493228
Total Pages : 462 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Dynamics And Mission Design Near Libration Points - Vol I: Fundamentals: The Case Of Collinear Libration Points by : Gerard Gomez

Download or read book Dynamics And Mission Design Near Libration Points - Vol I: Fundamentals: The Case Of Collinear Libration Points written by Gerard Gomez and published by World Scientific. This book was released on 2001-04-02 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Dynamics And Mission Design Near Libration Points - Vol Ii: Fundamentals: The Case Of Triangular Libration Points

Author : Gerard Gomez
Publisher : World Scientific
ISBN 13 : 9814493295
Total Pages : 159 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Dynamics And Mission Design Near Libration Points - Vol Ii: Fundamentals: The Case Of Triangular Libration Points by : Gerard Gomez

Download or read book Dynamics And Mission Design Near Libration Points - Vol Ii: Fundamentals: The Case Of Triangular Libration Points written by Gerard Gomez and published by World Scientific. This book was released on 2001-02-12 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is well known that the restricted three-body problem has triangular equilibrium points. These points are linearly stable for values of the mass parameter, μ, below Routh's critical value, μ1. It is also known that in the spatial case they are nonlinearly stable, not for all the initial conditions in a neighborhood of the equilibrium points L4, L5 but for a set of relatively large measures. This follows from the celebrated Kolmogorov-Arnold-Moser theorem. In fact there are neighborhoods of computable size for which one obtains “practical stability” in the sense that the massless particle remains close to the equilibrium point for a big time interval (some millions of years, for example).According to the literature, what has been done in the problem follows two approaches: (a) numerical simulations of more or less accurate models of the real solar system; (b) study of periodic or quasi-periodic orbits of some much simpler problem.The concrete questions that are studied in this volume are: (a) Is there some orbit of the real solar system which looks like the periodic orbits of the second approach? (That is, are there orbits performing revolutions around L4 covering eventually a thick strip? Furthermore, it would be good if those orbits turn out to be quasi-periodic. However, there is no guarantee that such orbits exist or will be quasi-periodic). (b) If the orbit of (a) exists and two particles (spacecraft) are put close to it, how do the mutual distance and orientation change with time?As a final conclusion of the work, there is evidence that orbits moving in a somewhat big annulus around L4 and L5 exist, that these orbits have small components out of the plane of the Earth-Moon system, and that they are at most mildly unstable.

Dynamics and Mission Design Near Libration Points

Author : Gerard G¢mez
Publisher : World Scientific
ISBN 13 : 9789812810649
Total Pages : 170 pages
Book Rating : 4.8/5 (16 download)

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Book Synopsis Dynamics and Mission Design Near Libration Points by : Gerard G¢mez

Download or read book Dynamics and Mission Design Near Libration Points written by Gerard G¢mez and published by World Scientific. This book was released on 2001 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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, L 1, 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 qua

Twenty Years Of Bialowieza: A Mathematical Anthology: Aspects Of Differential Geometric Methods In Physics

Author : S Twareque Ali
Publisher : World Scientific
ISBN 13 : 9814481033
Total Pages : 275 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Twenty Years Of Bialowieza: A Mathematical Anthology: Aspects Of Differential Geometric Methods In Physics by : S Twareque Ali

Download or read book Twenty Years Of Bialowieza: A Mathematical Anthology: Aspects Of Differential Geometric Methods In Physics written by S Twareque Ali and published by World Scientific. This book was released on 2005-01-27 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume marks the twentieth anniversary of the Bialowieza series of meetings on Differential Geometric Methods in Physics; the anniversary meeting was held during July 1-7, 2001. The Bialowieza meetings, held every year during the first week of July, have now grown into an annual pilgrimage for an international group of physicists and mathematicians. The topics discussed at the meetings, while within the broad area of differential geometric methods in physics, have focused around quantization, coherent states, infinite dimensional systems, symplectic geometry, spectral theory and harmonic analysis. The present volume brings together a set of specially invited papers from leading experts in the various fields, who have contributed to these meetings and whose work represents a cross-section of the topics discussed. Consequently, rather than a proceedings volume, this book embodies the spirit of the Bialowieza workshops and reflects their scientific tenor, as a tribute to the completion of two decades of a shared scientific experience.This book will be of interest to researchers and graduate students working in the area of differential geometric methods in physics, as it gives interesting glimpses into the present state of the art from different points of view.

Perturbation Theory

Author : Giuseppe Gaeta
Publisher : Springer Nature
ISBN 13 : 1071626213
Total Pages : 601 pages
Book Rating : 4.0/5 (716 download)

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Book Synopsis Perturbation Theory by : Giuseppe Gaeta

Download or read book Perturbation Theory written by Giuseppe Gaeta and published by Springer Nature. This book was released on 2022-12-16 with total page 601 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume in the Encyclopedia of Complexity and Systems Science, Second Edition, is devoted to the fundamentals of Perturbation Theory (PT) as well as key applications areas such as Classical and Quantum Mechanics, Celestial Mechanics, and Molecular Dynamics. Less traditional fields of application, such as Biological Evolution, are also discussed. Leading scientists in each area of the field provide a comprehensive picture of the landscape and the state of the art, with the specific goal of combining mathematical rigor, explicit computational methods, and relevance to concrete applications. New to this edition are chapters on Water Waves, Rogue Waves, Multiple Scales methods, legged locomotion, Condensed Matter among others, while all other contributions have been revised and updated. Coverage includes the theory of (Poincare’-Birkhoff) Normal Forms, aspects of PT in specific mathematical settings (Hamiltonian, KAM theory, Nekhoroshev theory, and symmetric systems), technical problems arising in PT with solutions, convergence of series expansions, diagrammatic methods, parametric resonance, systems with nilpotent real part, PT for non-smooth systems, and on PT for PDEs [write out this acronym partial differential equations]. Another group of papers is focused specifically on applications to Celestial Mechanics, Quantum Mechanics and the related semiclassical PT, Quantum Bifurcations, Molecular Dynamics, the so-called choreographies in the N-body problem, as well as Evolutionary Theory. Overall, this unique volume serves to demonstrate the wide utility of PT, while creating a foundation for innovations from a new generation of graduate students and professionals in Physics, Mathematics, Mechanics, Engineering and the Biological Sciences.

Spectral Analysis Of Differential Operators: Interplay Between Spectral And Oscillatory Properties

Author : Fedor S Rofe-beketov
Publisher : World Scientific
ISBN 13 : 9814480673
Total Pages : 463 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Spectral Analysis Of Differential Operators: Interplay Between Spectral And Oscillatory Properties by : Fedor S Rofe-beketov

Download or read book Spectral Analysis Of Differential Operators: Interplay Between Spectral And Oscillatory Properties written by Fedor S Rofe-beketov and published by World Scientific. This book was released on 2005-08-29 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first monograph devoted to the Sturm oscillatory theory for infinite systems of differential equations and its relations with the spectral theory. It aims to study a theory of self-adjoint problems for such systems, based on an elegant method of binary relations. Another topic investigated in the book is the behavior of discrete eigenvalues which appear in spectral gaps of the Hill operator and almost periodic Schrödinger operators due to local perturbations of the potential (e.g., modeling impurities in crystals).The book is based on results that have not been presented in other monographs. The only prerequisites needed to read it are basics of ordinary differential equations and operator theory. It should be accessible to graduate students, though its main topics are of interest to research mathematicians working in functional analysis, differential equations and mathematical physics, as well as to physicists interested in spectral theory of differential operators.

Recent Advances in Celestial and Space Mechanics

Author : Bernard Bonnard
Publisher : Springer
ISBN 13 : 3319274643
Total Pages : 309 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Recent Advances in Celestial and Space Mechanics by : Bernard Bonnard

Download or read book Recent Advances in Celestial and Space Mechanics written by Bernard Bonnard and published by Springer. This book was released on 2016-03-26 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents recent advances in space and celestial mechanics, with a focus on the N-body problem and astrodynamics, and explores the development and application of computational techniques in both areas. It highlights the design of space transfers with various modes of propulsion, like solar sailing and low-thrust transfers between libration point orbits, as well as a broad range of targets and applications, like rendezvous with near Earth objects. Additionally, it includes contributions on the non-integrability properties of the collinear three- and four-body problem, and on general conditions for the existence of stable, minimum energy configurations in the full N-body problem. A valuable resource for physicists and mathematicians with research interests in celestial mechanics, astrodynamics and optimal control as applied to space transfers, as well as for professionals and companies in the industry.

Proceedings of the 26th Conference of Spacecraft TT&C Technology in China

Author : Rongjun Shen
Publisher : Springer Science & Business Media
ISBN 13 : 3642336639
Total Pages : 424 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Proceedings of the 26th Conference of Spacecraft TT&C Technology in China by : Rongjun Shen

Download or read book Proceedings of the 26th Conference of Spacecraft TT&C Technology in China written by Rongjun Shen and published by Springer Science & Business Media. This book was released on 2012-09-29 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Proceedings of the 26th Conference of Spacecraft TT&C Technology in China' collects selected papers from the 26th Conference of Spacecraft TT&C Technology in China held in Nanjing on October 16-19, 2012. The book features state-of-the-art studies on spacecraft TT&C in China with the theme of “Shared and Flexible TT&C Systems”. The selected works can help promote the technologies in standardization, informatization, communication networks and intelligence. Researchers and engineers in the field of aerospace engineering and communication engineering can benefit from the book. SHEN Rongjun is the Academician of Chinese Academy of Engineering; QIAN Weiping is the Director General of Beijing Institute of Tracking and Telecommunications Technology.

Central Configurations, Periodic Orbits, and Hamiltonian Systems

Author : Jaume Llibre
Publisher : Birkhäuser
ISBN 13 : 3034809336
Total Pages : 240 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Central Configurations, Periodic Orbits, and Hamiltonian Systems by : Jaume Llibre

Download or read book Central Configurations, Periodic Orbits, and Hamiltonian Systems written by Jaume Llibre and published by Birkhäuser. This book was released on 2015-12-18 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Asteroids

Author : Viorel Badescu
Publisher : Springer Science & Business Media
ISBN 13 : 364239244X
Total Pages : 710 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Asteroids by : Viorel Badescu

Download or read book Asteroids written by Viorel Badescu and published by Springer Science & Business Media. This book was released on 2013-07-03 with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Earth has limited material and energy resources while these resources in space are virtually unlimited. Further development of humanity will require going beyond our planet and exploring of extraterrestrial resources and sources of unlimited power. Thus far, all missions to asteroids have been motivated by scientific exploration. However, given recent advancements in various space technologies, mining asteroids for resources is becoming ever more feasible. A significant portion of asteroids value is derived from their location; the required resources do not need to be lifted at a great expense from the surface of the Earth. Resources derived from Asteroid not only can be brought back to Earth but could also be used to sustain human exploration of space and permanent settlements in space. This book investigates asteroids' prospective energy and material resources. It is a collection of topics related to asteroid exploration, and utilization. It presents past and future technologies and solutions to old problems that could become reality in our life time. The book therefore is a great source of condensed information for specialists involved in current and impending asteroid-related activities and a good starting point for space researchers, inventors, technologists and potential investors. Written for researchers, engineers, and businessmen interested in asteroids' exploration and exploitation. Keywords: Asteroids, Asteroid exploration, Asteroid exploitation, Energy sources, Space Resources, Material Resources, In-Situ Resource Utilization, Mining

Modern Celestial Mechanics: From Theory to Applications

Author : Alessandra Celletti
Publisher : Springer Science & Business Media
ISBN 13 : 9401723044
Total Pages : 474 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Modern Celestial Mechanics: From Theory to Applications by : Alessandra Celletti

Download or read book Modern Celestial Mechanics: From Theory to Applications written by Alessandra Celletti and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the opening of the "Third Meeting on Celestial Mechanics - CELMEC III", strong sensations hit our minds. The conference (18-22 June 2001) was being held in Villa Mondragone, a beautiful complex of buildings and gardens located within the township of Monte Porzio Catone, on the hills surrounding Rome. A former papal residence, the building has been recently restored by the University of Rome "Tor Vergata" to host academic activities and events. The conference room is called "Salone degli Svizzeri": here, Gregory XIII, on February 24, 1582, gave its sanction to the reform of the Julian calendar and declared officially in use the calendar still adopted nowadays. The magnificent high walls and tall ceiling strongly resounded, giving to our voice a peculiar Vatican sound, which took us by surprise. May be - we thought - a distant echo of the very words of Gregory XIII proclaiming the modem calendar was still haunting the room. Around us, in the audience, many countries were represented, thus indicating that the idea of putting together the three "souls" of modem Celestial Mechanics - perturbation theories, solar and stellar system studies, spaceflight dynamic- had been successful. CELMEC III is in fact the latest of a series of meetings (the first two editions took place in 1993 and 1997 in L' Aquila, Italy) whose aim is to establish a common ground among people working in Celestial Mechanics, yet belonging to different institutions such as universities, astronomical observatories, research institutes, space agencies and industries.

Equilibrium, Markets and Dynamics

Author : Cars H. Hommes
Publisher : Springer Science & Business Media
ISBN 13 : 9783540434702
Total Pages : 836 pages
Book Rating : 4.4/5 (347 download)

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Book Synopsis Equilibrium, Markets and Dynamics by : Cars H. Hommes

Download or read book Equilibrium, Markets and Dynamics written by Cars H. Hommes and published by Springer Science & Business Media. This book was released on 2002-05-14 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains essays in honour of Claus Weddepohl who, after 22 years, is retiring as professor of mathematical economics at the Department of Quantitative Economics of the University of Amsterdam. Claus Weddepohl may be viewed as th~ first Dutch mathematical economist in the general equi librium tradition of Arrow, Debreu and Hahn. The essays in this book are centered around the themes Equilibrium, Markets and Dynamics, that have been at the heart of Weddepohl's work on mathematical economics for more than three decades. The essays have been classified according to these three themes. Admittedly such a classification always is somewhat arbitrary, and most essays would in fact fit into two or even all three themes. The essays have been written by international as well as Dutch friends and colleagues including Weddepohl's former Ph. D. students. The book starts with a review of Claus Weddepohl's work by Roald Ramer, who has been working with him in Amsterdam for all those years. The review describes how Weddepohl became fascinated by general equilibrium theory in the early stages of his career, how he has been working on the theory of markets throughout his career, and how he turned to applications of nonlinear dynamics to price adjustment processes in a later stage of his career. The first part of the book, Equilibrium, collects essays with general equilib rium theory as the main theme.

Libration Point Orbits and Applications

Author : Gerard G¢mez
Publisher : World Scientific
ISBN 13 : 9812383638
Total Pages : 695 pages
Book Rating : 4.8/5 (123 download)

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Book Synopsis Libration Point Orbits and Applications by : Gerard G¢mez

Download or read book Libration Point Orbits and Applications written by Gerard G¢mez and published by World Scientific. This book was released on 2003 with total page 695 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the state of the art in numerical and analytical techniques as well as future trends associated with mission design for libration point orbits. It contains papers explaining theoretical developments and their applications, including the accurate description of some actual libration point missions of ESA and NASA. The existing software in the field and some applications beyond the neighborhood of the Earth are also presented. Special emphasis is placed on the use of dynamical systems methodology in the libration-point-orbits mission design.