Dynamical Systems

Dynamical Systems
Title Dynamical Systems PDF eBook
Author Wang Sang Koon
Publisher Springer
Pages 336
Release 2011-06-01
Genre Mathematics
ISBN 9780387495156

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This book considers global solutions to the restricted three-body problem from a geometric point of view. The authors seek dynamical channels in the phase space which wind around the planets and moons and naturally connect them. These low energy passageways could slash the amount of fuel spacecraft need to explore and develop our solar system. In order to effectively exploit these passageways, the book addresses the global transport. It goes beyond the traditional scope of libration point mission design, developing tools for the design of trajectories which take full advantage of natural three or more body dynamics, thereby saving precious fuel and gaining flexibility in mission planning. This is the key for the development of some NASA mission trajectories, such as low energy libration point orbit missions (e.g., the sample return Genesis Discovery Mission), low energy lunar missions and low energy tours of outer planet moon systems, such as a mission to tour and explore in detail the icy moons of Jupiter. This book can serve as a valuable resource for graduate students and advanced undergraduates in applied mathematics and aerospace engineering, as well as a manual for practitioners who work on libration point and deep space missions in industry and at government laboratories. the authors include a wealth of background material, but also bring the reader up to a portion of the research frontier.

Long-Term Dynamical Behaviour of Natural and Artificial N-Body Systems

Long-Term Dynamical Behaviour of Natural and Artificial N-Body Systems
Title Long-Term Dynamical Behaviour of Natural and Artificial N-Body Systems PDF eBook
Author Archie E. Roy
Publisher Springer Science & Business Media
Pages 516
Release 2012-12-06
Genre Science
ISBN 9400930534

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The reader will find in this volume the Proceedings of the NATO Advanced Study Institute held in Cortina d'Ampezzo, Italy between August 3 and August 13, 1987 under the title "Long Term Dynamical Behaviour of Natural and Artificial N-body Systems". The Institute was the latest in a series held in 1972, 1975, 1978, 1981, 1984 in dynamical astronomy, theoretical mechanics and celestial mechanics under the Directorship of Professor Victor Szebehely. These previous institutes, held in high esteem by the international community of research workers, have resulted in a series of well-received and valuable Proceedings. In correspondence with Professor Szebehely and in long discussions with him in Colorado in August 1985, I agreed to his request that I undertake the preparation of a new ASI. I was happy to do so knowing I could call upon his vast experience in overseeing such ASI's. The last quarter century has been a period in which increasingly rapid progress has been made in celestial mechanics and related subjects not only because of the appearance of new problems urgently requiring solution but also because of the advent of new analytical techniques and powerful computer hardware and software.

Orbital Mechanics for Engineering Students

Orbital Mechanics for Engineering Students
Title Orbital Mechanics for Engineering Students PDF eBook
Author Howard D. Curtis
Publisher Elsevier
Pages 740
Release 2009-10-26
Genre Technology & Engineering
ISBN 0080887848

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Orbital Mechanics for Engineering Students, Second Edition, provides an introduction to the basic concepts of space mechanics. These include vector kinematics in three dimensions; Newton's laws of motion and gravitation; relative motion; the vector-based solution of the classical two-body problem; derivation of Kepler's equations; orbits in three dimensions; preliminary orbit determination; and orbital maneuvers. The book also covers relative motion and the two-impulse rendezvous problem; interplanetary mission design using patched conics; rigid-body dynamics used to characterize the attitude of a space vehicle; satellite attitude dynamics; and the characteristics and design of multi-stage launch vehicles. Each chapter begins with an outline of key concepts and concludes with problems that are based on the material covered. This text is written for undergraduates who are studying orbital mechanics for the first time and have completed courses in physics, dynamics, and mathematics, including differential equations and applied linear algebra. Graduate students, researchers, and experienced practitioners will also find useful review materials in the book. - NEW: Reorganized and improved discusions of coordinate systems, new discussion on perturbations and quarternions - NEW: Increased coverage of attitude dynamics, including new Matlab algorithms and examples in chapter 10 - New examples and homework problems

Advances in the Astronautical Sciences Volume 148

Advances in the Astronautical Sciences Volume 148
Title Advances in the Astronautical Sciences Volume 148 PDF eBook
Author American Astronautical Society Contributors
Publisher Univelt Incorporated
Pages 175
Release 2013-07-22
Genre Technology & Engineering
ISBN 0877035970

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Advances in the Astronautical Sciences Series Volume 148 is a collection of scientific papers that were presented at the American Astronautical Society/American Institute of Aeronautics and Astronautics Spaceflight Mechanics Meeting held February 10-14, 2013, in Kauai, Hawaii.

Hamiltonian Perturbation Solutions for Spacecraft Orbit Prediction

Hamiltonian Perturbation Solutions for Spacecraft Orbit Prediction
Title Hamiltonian Perturbation Solutions for Spacecraft Orbit Prediction PDF eBook
Author Martín Lara
Publisher Walter de Gruyter GmbH & Co KG
Pages 315
Release 2021-05-10
Genre Science
ISBN 3110667320

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"Analytical solutions to the orbital motion of celestial objects have been nowadays mostly replaced by numerical solutions, but they are still irreplaceable whenever speed is to be preferred to accuracy, or to simplify a dynamical model. In this book, the most common orbital perturbations problems are discussed according to the Lie transforms method, which is the de facto standard in analytical orbital motion calculations"--Print version, page 4 of cover.

Applied Mechanics Reviews

Applied Mechanics Reviews
Title Applied Mechanics Reviews PDF eBook
Author
Publisher
Pages 636
Release 1973
Genre Mechanics, Applied
ISBN

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Computer Algebra in Scientific Computing

Computer Algebra in Scientific Computing
Title Computer Algebra in Scientific Computing PDF eBook
Author Vladimir P. Gerdt
Publisher Springer
Pages 419
Release 2017-09-07
Genre Computers
ISBN 3319663208

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This book constitutes the proceedings of the 19th International Workshop on Computer Algebra in Scientific Computing, CASC 2017, held in Beijing, China, in September 2017. The 28 full papers presented in this volume were carefully reviewed and selected from 33 submissions. They deal with cutting-edge research in all major disciplines of Computer Algebra.