Recent Advances In Celestial And Space Mechanics

Author : Bernard Bonnard,Monique Chyba
Publisher : Springer
Page : 302 pages
File Size : 45,9 Mb
Release : 2016-03-26
Category : Mathematics
ISBN : 9783319274645

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Recent Advances in Celestial and Space Mechanics by Bernard Bonnard,Monique Chyba Pdf

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.

Author : Pini Gurfil,P. Kenneth Seidelmann
Publisher : Springer
Page : 522 pages
File Size : 47,7 Mb
Release : 2016-07-28
Category : Science
ISBN : 9783662503706

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Celestial Mechanics and Astrodynamics: Theory and Practice by Pini Gurfil,P. Kenneth Seidelmann Pdf

This volume is designed as an introductory text and reference book for graduate students, researchers and practitioners in the fields of astronomy, astrodynamics, satellite systems, space sciences and astrophysics. The purpose of the book is to emphasize the similarities between celestial mechanics and astrodynamics, and to present recent advances in these two fields so that the reader can understand the inter-relations and mutual influences. The juxtaposition of celestial mechanics and astrodynamics is a unique approach that is expected to be a refreshing attempt to discuss both the mechanics of space flight and the dynamics of celestial objects. “Celestial Mechanics and Astrodynamics: Theory and Practice” also presents the main challenges and future prospects for the two fields in an elaborate, comprehensive and rigorous manner. The book presents homogenous and fluent discussions of the key problems, rendering a portrayal of recent advances in the field together with some basic concepts and essential infrastructure in orbital mechanics. The text contains introductory material followed by a gradual development of ideas interweaved to yield a coherent presentation of advanced topics.

Author : K.B. Bhatnagar
Publisher : Springer Science & Business Media
Page : 455 pages
File Size : 49,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789400947320

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Space Dynamics and Celestial Mechanics by K.B. Bhatnagar Pdf

Proceedings of the International Workshop, Delhi, India, November 14-16, 1985

Author : Alessandra Celletti,Sylvio Ferraz-Mello
Publisher : Springer Science & Business Media
Page : 434 pages
File Size : 42,7 Mb
Release : 2007-02-02
Category : Science
ISBN : 9781402053252

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Periodic, Quasi-Periodic and Chaotic Motions in Celestial Mechanics: Theory and Applications by Alessandra Celletti,Sylvio Ferraz-Mello Pdf

The book provides the most recent advances of Celestial Mechanics, as provided by high-level scientists working in this field. It covers theoretical investigations as well as applications to concrete problems. Outstanding review papers are included in the book and they introduce the reader to leading subjects, like the variational approaches to find periodic orbits and the space debris polluting the circumterrestrial space.

Author : V.G. Szebehely
Publisher : Springer Science & Business Media
Page : 384 pages
File Size : 52,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789400977938

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Applications of Modern Dynamics to Celestial Mechanics and Astrodynamics by V.G. Szebehely Pdf

This volume contains the detailed text of the major lectures and the abstracts of the lectures delivered during the seminar sessions. The subject of our NATO Advanced Study Institute in 1981 was the Application of Modern Dynamics to Celestial Mechanics and Astrodynamics. This Preface will first explain the terminology, then it will review shortly the content of the lectures and will outline how all this was made possible and, finally, it will disclose our future aspirations. Periodicity is an extremely important concept in our field, therefore, it should not be unexpected that our NATO Advanced Study Institute is enjoying a period of three years. Since 1972 we conducted four Institutes with increasing interest and en thusiasm displayed by the participants, lecturers and by this Director. Celestial Mechanics or Dynamical Astronomy is part of Astronomy dealing mostly with the motion of natural celestial bodies. Astrodynamics or Orbital Mechanics is the application of dynamics to problems of Space Engineering and it treats mostly the dynamical behavior of artificial satellites and space probes. The underlying mathematical and dynamical principles are, of course, the same for Celestial Mechanics and for Astrodynamics. This Director of the Institute and Editor of the Proceedings was extremely fortunate to have obtained the cooperation of out standing lecturers who were clear, thorough, understandable, patient to answer questions, but above all, had knowledge of the ix V. Szebehely (ed.). Applications of Modern Dynamics to Celestial Mechanics and Astrodynamics. ix-x.

Author : Victor Szebehely
Publisher : Elsevier
Page : 764 pages
File Size : 50,5 Mb
Release : 2014-09-30
Category : Science
ISBN : 9780323163392

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Celestial Mechanics and Astrodynamics by Victor Szebehely Pdf

Celestial Mechanics and Astrodynamics

Author : Joaquín Delgado,Ernesto A. Lacomba,Jaume Llibre,Ernesto Perez-Chavela
Publisher : Springer Science & Business Media
Page : 261 pages
File Size : 48,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781441990587

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New Advances in Celestial Mechanics and Hamiltonian Systems by Joaquín Delgado,Ernesto A. Lacomba,Jaume Llibre,Ernesto Perez-Chavela Pdf

The aim of the IV International Symposium on Hamiltonian Systems and Celestial Mechanics, HAMSYS-2001 was to join top researchers in the area of Celestial Mechanics, Hamiltonian systems and related topics in order to communicate new results and look forward for join research projects. For PhD students, this meeting offered also the opportunity of personal contact to help themselves in their own research, to call as well and promote the attention of young researchers and graduated students from our scientific community to the above topics, which are nowadays of interest and relevance in Celestial Mechanics and Hamiltonian dynamics. A glance to the achievements in the area in the last century came as a consequence of joint discussions in the workshop sessions, new problems were presented and lines of future research were delineated. Specific discussion topics included: New periodic orbits and choreographies in the n-body problem, singularities in few body problems, central configurations, restricted three body problem, geometrical mechanics, dynamics of charged problems, area preserving maps and Arnold diffusion.

Author : John Pascal Vinti
Publisher : AIAA
Page : 438 pages
File Size : 53,5 Mb
Release : 1998
Category : Astrodynamics
ISBN : 1600864295

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Orbital and Celestial Mechanics by John Pascal Vinti Pdf

Author : Edward Belbruno
Publisher : Princeton University Press
Page : 128 pages
File Size : 48,7 Mb
Release : 2018-06-05
Category : Mathematics
ISBN : 9780691186436

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Capture Dynamics and Chaotic Motions in Celestial Mechanics by Edward Belbruno Pdf

This book describes a revolutionary new approach to determining low energy routes for spacecraft and comets by exploiting regions in space where motion is very sensitive (or chaotic). It also represents an ideal introductory text to celestial mechanics, dynamical systems, and dynamical astronomy. Bringing together wide-ranging research by others with his own original work, much of it new or previously unpublished, Edward Belbruno argues that regions supporting chaotic motions, termed weak stability boundaries, can be estimated. Although controversial until quite recently, this method was in fact first applied in 1991, when Belbruno used a new route developed from this theory to get a stray Japanese satellite back on course to the moon. This application provided a major verification of his theory, representing the first application of chaos to space travel. Since that time, the theory has been used in other space missions, and NASA is implementing new applications under Belbruno's direction. The use of invariant manifolds to find low energy orbits is another method here addressed. Recent work on estimating weak stability boundaries and related regions has also given mathematical insight into chaotic motion in the three-body problem. Belbruno further considers different capture and escape mechanisms, and resonance transitions. Providing a rigorous theoretical framework that incorporates both recent developments such as Aubrey-Mather theory and established fundamentals like Kolmogorov-Arnold-Moser theory, this book represents an indispensable resource for graduate students and researchers in the disciplines concerned as well as practitioners in fields such as aerospace engineering.

Author : Alessandra Celletti,Sylvio Ferraz-Mello
Publisher : Springer
Page : 438 pages
File Size : 54,6 Mb
Release : 2006-10-30
Category : Science
ISBN : 140205324X

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Periodic, Quasi-Periodic and Chaotic Motions in Celestial Mechanics: Theory and Applications by Alessandra Celletti,Sylvio Ferraz-Mello Pdf

The book provides the most recent advances of Celestial Mechanics, as provided by high-level scientists working in this field. It covers theoretical investigations as well as applications to concrete problems. Outstanding review papers are included in the book and they introduce the reader to leading subjects, like the variational approaches to find periodic orbits and the space debris polluting the circumterrestrial space.

Author : V.V. Beletsky
Publisher : Birkhäuser
Page : 382 pages
File Size : 54,9 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783034883603

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Essays on the Motion of Celestial Bodies by V.V. Beletsky Pdf

Interesting and often unexpected achievements of the mechanics of space flight throw a new light onto several classical problems. The book’s emphasis is on analysis carried out on the level of graphs and drawings, and sometimes numbers, revealing the beauty of the research process leading to the results.

Author : Raynor L. Duncombe,Victor G. Szebehely
Publisher : Academic Press
Page : 452 pages
File Size : 54,5 Mb
Release : 2014-12-03
Category : Technology & Engineering
ISBN : 9781483276854

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Methods in Astrodynamics and Celestial Mechanics by Raynor L. Duncombe,Victor G. Szebehely Pdf

Methods in Astrodynamics and Celestial Mechanics is a collection of technical papers presented at the Astrodynamics Specialist Conference held in Monterey, California, on September 16-17, 1965, under the auspices of the American Institute of Aeronautics and Astronautics and Institute of Navigation. The conference provided a forum for tackling some of the most interesting applications of the methods of celestial mechanics to problems of space engineering. Comprised of 19 chapters, this volume first treats the promising area of motion around equilibrium configurations. Following a discussion on limiting orbits at the equilateral centers of libration, the reader is introduced to the asymptotic expansion technique and its application to trajectories. Asymptotic representations for solutions to the differential equations of satellite theory are considered. The last two sections deal with orbit determination and mission analysis and optimization in astrodynamics. Error equations of inertial navigation as applied to orbital determination and guidance are evaluated, along with parameter hunting procedures and nonlinear optimal control problems with control appearing linearly .This book will be useful to practitioners in the fields of aeronautics, astronautics, and astrophysics.

Author : Bhola Ishwar
Publisher : Alpha Science Int'l Ltd.
Page : 354 pages
File Size : 54,5 Mb
Release : 2006
Category : Science
ISBN : 8173197660

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Celestial Mechanics by Bhola Ishwar Pdf

A review of current state-of-the-art aspects in the area of Space Dynamics and Celestial Mechanics, this book is comprised of five sections, concluding with a chapter on the Moon Mission.

Author : Sergei Kopeikin,Michael Efroimsky,George Kaplan
Publisher : John Wiley & Sons
Page : 897 pages
File Size : 55,7 Mb
Release : 2011-09-26
Category : Science
ISBN : 9783527408566

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Relativistic Celestial Mechanics of the Solar System by Sergei Kopeikin,Michael Efroimsky,George Kaplan Pdf

This authoritative book presents the theoretical development of gravitational physics as it applies to the dynamics of celestial bodies and the analysis of precise astronomical observations. In so doing, it fills the need for a textbook that teaches modern dynamical astronomy with a strong emphasis on the relativistic aspects of the subject produced by the curved geometry of four-dimensional spacetime. The first three chapters review the fundamental principles of celestial mechanics and of special and general relativity. This background material forms the basis for understanding relativistic reference frames, the celestial mechanics of N-body systems, and high-precision astrometry, navigation, and geodesy, which are then treated in the following five chapters. The final chapter provides an overview of the new field of applied relativity, based on recent recommendations from the International Astronomical Union. The book is suitable for teaching advanced undergraduate honors programs and graduate courses, while equally serving as a reference for professional research scientists working in relativity and dynamical astronomy. The authors bring their extensive theoretical and practical experience to the subject. Sergei Kopeikin is a professor at the University of Missouri, while Michael Efroimsky and George Kaplan work at the United States Naval Observatory, one of the world?s premier institutions for expertise in astrometry, celestial mechanics, and timekeeping.

Author : Alessandro Morbidelli
Publisher : CRC Press
Page : 386 pages
File Size : 43,8 Mb
Release : 2002-05-16
Category : Science
ISBN : UCSC:32106016028133

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Modern Celestial Mechanics by Alessandro Morbidelli Pdf

In the last 20 years, researchers in the field of celestial mechanics have achieved spectacular results in their effort to understand the structure and evolution of our solar system. Modern Celestial Mechanics uses a solid theoretical basis to describe recent results on solar system dynamics, and it emphasizes the dynamics of planets and of small bodies. To grasp celestial mechanics, one must comprehend the fundamental concepts of Hamiltonian systems theory, so this volume begins with an explanation of those concepts. Celestial mechanics itself is then considered, including the secular motion of planets and small bodies and mean motion resonances. Graduate students and researchers of astronomy and astrophysics will find Modern Celestial Mechanics an essential addition to their bookshelves.