Recent Advances In Celestial And Space Mechanics
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Recent Advances In Celestial And Space Mechanics
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Author : Bernard Bonnard
language : en
Publisher: Springer
Release Date : 2016-03-26
Recent Advances In Celestial And Space Mechanics written by Bernard Bonnard and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-26 with Mathematics categories.
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.
Celestial Mechanics And Astrodynamics
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Author : Victor Szebehely
language : en
Publisher: Elsevier
Release Date : 2014-09-30
Celestial Mechanics And Astrodynamics written by Victor Szebehely and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-30 with Science categories.
Celestial Mechanics and Astrodynamics
Capture Dynamics And Chaotic Motions In Celestial Mechanics
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Author : Edward Belbruno
language : en
Publisher: Princeton University Press
Release Date : 2004
Capture Dynamics And Chaotic Motions In Celestial Mechanics written by Edward Belbruno and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
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.
Recent Advances In Astrodynamics 1961
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Author : Robert M. L. Baker
language : en
Publisher:
Release Date : 1962
Recent Advances In Astrodynamics 1961 written by Robert M. L. Baker and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Astrodynamics categories.
The review surveys eight subdivisions within astrodynamics: geometry, coordinate systems and ephemerides; astrodynamic constants (including heliocentric, genocentric, lunar and planetary, and atmospheric constants); orbit determination; orbit perturbations (gravitational and nongravitational); orbit prediction (using both special and general perturbation techniques); applications (orbit selection and optimization, low thrust orbits, geocentric orbits, lunar, planetary and interplanetary orbits); observation theory; and attitude dynamics. Each subdivision is introduced and a number of the outstanding research papers in each area are mentioned. Specifically, an effort is made to delineate voids in our knowledge and to point up areas of profitable future research in astrodynamics. (Author).
Analytical Mechanics Of Space Systems
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Author : Hanspeter Schaub
language : en
Publisher: AIAA
Release Date : 2003
Analytical Mechanics Of Space Systems written by Hanspeter Schaub and has been published by AIAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Celestial mechanics categories.
Recent Advances In Dynamical Astronomy
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Author : B.D. Tapley
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Recent Advances In Dynamical Astronomy written by B.D. Tapley and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
IX LIST OF PRINCIPAL SPEAKERS XI LIST OF PARTICIPANTS 1. REGULARIZATION E. STIEFEL / A Linear Theory of the Perturbed Two-Body Problem (Regul- ization) 3 J. WALDVOGEL / Collision Singularities in Gravitational Problems 21 D. C. HEGGIE / Regularization Using a Time-Transformation Only 34 J. BAUMGAR TE / Stabilization of the Differential Equations of Keplerian Motion 38 F. NAHON / The Particular Solutions of Levi-Civita 45 O. GODAR T / Example ofIntegration of Strongly Oscillating Systems 53 w. BLACK / The Application of Recurrence Relations to Special Perturbation Methods 61 D. G. BETTIS / Numerical Solution of Ordinary Differential Equations (Abstract) 71 II. THE THREE-BODY PROBLEM V. SZEBEHELY / Recent Advances in the Problem of Three Bodies 75 R. F. ARENSTORF / Periodic Elliptic Motion in the Problem of Three Bodies (Abstract) 107 G. KATSIARIS and c. L. GOUDAS / On a Conjecture by Poincare 109 G. KATSIARIS / The Three-Dimensional Elliptic Problem 118 P. G. KAZANTZIS / Second and Third Order Variations of the Three Dimensional Restricted Problem 135 c. G. ZAGOURAS / Planar Periodic Orbits Using Second and Third Variations 146 E. RABE / Elliptic Restricted Problem: Fourth-Order Stability Analysis of the Triangular Points 156 P. GUILLAUME / A Linear Description of the Second Species Solutions 161 III. THE N-BODY PROBLEM AND STELLAR DYNAMICS G. CONTOPOULOS / Problems of Stellar Dynamics 177 w. T. KYNER / Invariant Manifolds in Celestial Mechanics 192 s. J.
Recent Advances In The Aerospace Sciences
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Author : Corrado Casci
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Recent Advances In The Aerospace Sciences written by Corrado Casci and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
This volume, published in honor of Prof. Luigi Crocco, appears when Luigi Crocco celebrates his 75th birthday of a life devoted to study, research, and teaching. The events in his life and World War II forced Luigi Crocco, as well as other Italian scientists, to look to foreign countries for the calm haven so vital to study. This notwithstanding, his scientific activity was never inter rupted, and this volume is an acknowledgment of scientists and researchers to his work and life. Prefazione Questo volume in onore del prof. ing. Luigi Crocco vede la luce quando Luigi Crocco compie i 75 anni di una vita dedicata allo studio, alia ricerca e all'insegnamento. a Le vicende della vita, ed anche della 2 guerra mondiale, hanno costretto Luigi Crocco, come altri scienziati italiani, a dover cercare in altri Paesi quella serenita necessaria per dedicarsi allo studio. Ma la sua attivita scientifica non ha avuto interruzioni e questo volume essere la testimonianza di studiosi e di ricercatori alia sua opera e alia sua vita."
Afosr
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Author : United States. Air Force. Office of Scientific Research
language : en
Publisher:
Release Date : 1968
Afosr written by United States. Air Force. Office of Scientific Research and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Research categories.
Orbital And Celestial Mechanics
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Author : John P. Vinti
language : en
Publisher: AIAA
Release Date : 1998
Orbital And Celestial Mechanics written by John P. Vinti and has been published by AIAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Astrodynamics categories.
Variational Methods
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Author : Maïtine Bergounioux
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2017-01-11
Variational Methods written by Maïtine Bergounioux and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-11 with Mathematics categories.
With a focus on the interplay between mathematics and applications of imaging, the first part covers topics from optimization, inverse problems and shape spaces to computer vision and computational anatomy. The second part is geared towards geometric control and related topics, including Riemannian geometry, celestial mechanics and quantum control. Contents: Part I Second-order decomposition model for image processing: numerical experimentation Optimizing spatial and tonal data for PDE-based inpainting Image registration using phase・amplitude separation Rotation invariance in exemplar-based image inpainting Convective regularization for optical flow A variational method for quantitative photoacoustic tomography with piecewise constant coefficients On optical flow models for variational motion estimation Bilevel approaches for learning of variational imaging models Part II Non-degenerate forms of the generalized Euler・Lagrange condition for state-constrained optimal control problems The Purcell three-link swimmer: some geometric and numerical aspects related to periodic optimal controls Controllability of Keplerian motion with low-thrust control systems Higher variational equation techniques for the integrability of homogeneous potentials Introduction to KAM theory with a view to celestial mechanics Invariants of contact sub-pseudo-Riemannian structures and Einstein・Weyl geometry Time-optimal control for a perturbed Brockett integrator Twist maps and Arnold diffusion for diffeomorphisms A Hamiltonian approach to sufficiency in optimal control with minimal regularity conditions: Part I Index