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Optimal Space Trajectories

Author: Jean-Pierre Marec
Publisher: Elsevier
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Studies in Astronautics, Volume 1: Optimal Space Trajectories focuses on the concept of optimal transfer and the problem of optimal space trajectories. It examines the relative performances of the various propulsion systems (classical and electrical propulsions) and their optimization (optimal mass breakdown), along with parametric and functional optimizations and optimal transfers in an arbitrary, uniform, and central gravitational field. Organized into 13 chapters, this volume begins with an overview of optimal transfer and the modeling of propulsion systems. It then discusses the Hohmann transfer, the Hoelker and Silber bi-elliptical transfer, and the deficiencies of parametric optimization. The book explains the canonical transformation, optimization of the thrust law using the Maximum Principle, and optimal orbit corrections. The time-free orbital transfers and time-fixed orbital transfers and rendezvous are also discussed. Moreover, this volume explains the classical high-thrust and electric low-thrust propulsion systems and rendezvous between two planets. This book is written primarily for engineers who specialize in aerospace mechanics and want to pursue a career in the space industry or space research. It also introduces students to the different aspects of the problem of optimal space trajectories.


Optimal Space Trajectories

Author: Theodore N. Edelbaum
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The proliferation of papers published on various aspects of optimum space trajectories has made it desirable to produce a unified treatment of this subject that contains the major results of these papers. This monograph on optimal space trajectories is addressed to this goal. It includes chapters on space propulsion systems, the maximum principle, general theory of optimum rocket trajectories, trajectory optimization in field free space, trajectory optimization in an inverse square-field, linearized power-limited transfer in the vicinity of an elliptic orbit, optimum power-limited orbit transfer in strong gravity fields, linearized impulsive transfer in the vicinity of a circular orbit, optimum impulse transfer in an inverse square field, singular arcs, interplanetary trajectories, and combination propulsion.


Analytical Solutions for Extremal Space Trajectories

Author: Dilmurat M. Azimov
Publisher: Butterworth-Heinemann
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Analytical Solutions for Extremal Space Trajectories presents an overall treatment of the general optimal control problem, in particular, the Mayer’s variational problem, with necessary and sufficient conditions of optimality. It also provides a detailed derivation of the analytical solutions of these problems for thrust arcs for the Newtonian, linear central and uniform gravitational fields. These solutions are then used to analytically synthesize the extremal and optimal trajectories for the design of various orbital transfer and powered descent and landing maneuvers. Many numerical examples utilizing the proposed analytical synthesis of the space trajectories and comparison analyses with numerically integrated solutions are provided. This book will be helpful for engineers and researchers of industrial and government organizations, and is also a great resource for university faculty and graduate and undergraduate students working, specializing or majoring in the fields of aerospace engineering, applied celestial mechanics, and guidance, navigation and control technologies, applied mathematics and analytical dynamics, and avionics software design and development. Features an analyses of Pontryagin extremals and/or Pontryagin minimum in the context of space trajectory design Presents the general methodology of an analytical synthesis of the extremal and optimal trajectories for the design of various orbital transfer and powered descent and landing maneuvers Assists in developing the optimal control theory for applications in aerospace technology and space mission design


Optimal Space Flight Navigation

Author: Ashish Tewari
Publisher: Springer
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This book consolidates decades of knowledge on space flight navigation theory, which has thus far been spread across various research articles. By gathering this research into a single text, it will be more accessible to students curious about the study of space flight navigation. Books on optimal control theory and orbital mechanics have not adequately explored the field of space flight navigation theory until this point. The opening chapters introduce essential concepts within optimal control theory, such as the optimization of static systems, special boundary conditions, and dynamic equality constraints. An analytical approach is focused on throughout, as opposed to computational. The result is a book that emphasizes simplicity and practicability, which makes it accessible and engaging. This holds true in later chapters that involve orbital mechanics, two-body maneuvers, bounded inputs, and flight in non-spherical gravity fields. The intended audience is primarily upper-undergraduate students, graduate students, and researchers of aerospace, mechanical, and/or electrical engineering. It will be especially valuable to those with interests in spacecraft dynamics and control. Readers should be familiar with basic dynamics and modern control theory. Additionally, a knowledge of linear algebra, variational methods, and ordinary differential equations is recommended.


Spacecraft Trajectory Optimization

Author: Bruce A. Conway
Publisher: Cambridge University Press
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This is a long-overdue volume dedicated to space trajectory optimization. Interest in the subject has grown, as space missions of increasing levels of sophistication, complexity, and scientific return - hardly imaginable in the 1960s - have been designed and flown. Although the basic tools of optimization theory remain an accepted canon, there has been a revolution in the manner in which they are applied and in the development of numerical optimization. This volume purposely includes a variety of both analytical and numerical approaches to trajectory optimization. The choice of authors has been guided by the editor's intention to assemble the most expert and active researchers in the various specialities presented. The authors were given considerable freedom to choose their subjects, and although this may yield a somewhat eclectic volume, it also yields chapters written with palpable enthusiasm and relevance to contemporary problems.


Optimal Trajectories in Atmospheric Flight

Author: Nguyen Vinh
Publisher: Elsevier
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Optimal Trajectories in Atmospheric Flight deals with the optimization of trajectories in atmospheric flight. The book begins with a simple treatment of functional optimization followed by a discussion of switching theory. It then presents the derivation of the general equations of motion along with the basic knowledge in aerodynamics and propulsion necessary for the analysis of atmospheric flight trajectories. It goes on to the study of optimal trajectories by providing the general properties of the optimal aerodynamic controls and the integrals of motion. This is followed by discussions of high subsonic and supersonic flight, and approximation techniques to reduce the order of the problem for a fast computation of the optimal trajectory. The final chapters present analyses of optimal reentry trajectories and orbital maneuvers. This book is intended as a reference text for scientists and engineers wanting to get into the subject of optimal trajectories in atmospheric flight. If used for teaching purposes, the book is written in a self-contained way so that a selective use of the material is at the discretion of the lecturer. The first 11 chapters are sufficient for a one-semester course with emphasis on optimal maneuvers of high performance aircraft.


Space Mankind s Fourth Environment

Author: L. G. Napolitano
Publisher: Elsevier
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Space: Mankind's Fourth Environment focuses on the emerging trends in astronomy, taking into consideration space transportation and exploration. Along with this topic are various technological developments that are widely used and considered with space, referred to in this book as humankind's ""fourth environment"", as another potential destination of man. Divided into four parts, the book points at different challenges and problems related to the consideration of space as another environment for humankind, which is observed in the manned space flight programs of the United States and Russia. The book gives emphasis on the improvement of space technology, particularly the use of satellites in communication, emphasizing the use of Intelsat 5 and European L-sat in broadcast system. Studies on active and passive microwave sensors are discussed and a discussion on the medical results of a manned space flight is also presented. The book will surely boost the interest of astronomers and those interested in space technology and exploration.


Multisegmented Optimal Trajectories

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Optimal Trajectories for Space Navigation

Author: Derek F. Lawden
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Control in Robotics and Automation

Author: Bijoy K. Ghosh
Publisher: Academic Press
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Control in Robotics and Automation has been written to meet the rapidly growing need for sensor-based integration to solve problems in the control and planning of robotic systems. Applications of these control methods range from assembly tasks in industrial automation to material handling in hazardous environments and servicing tasks in space. Many advances in a wide range of new applications in robotics and automation will depend on methods presented in this book, including robot-assisted surgery, space exploration, and micro-fabrication.


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