Optimal Space Flight Navigation
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Optimal Space Flight Navigation
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.
Optimal Control with Aerospace Applications
Author: James M Longuski
language: en
Publisher: Springer Science & Business Media
Release Date: 2013-11-04
Want to know not just what makes rockets go up but how to do it optimally? Optimal control theory has become such an important field in aerospace engineering that no graduate student or practicing engineer can afford to be without a working knowledge of it. This is the first book that begins from scratch to teach the reader the basic principles of the calculus of variations, develop the necessary conditions step-by-step, and introduce the elementary computational techniques of optimal control. This book, with problems and an online solution manual, provides the graduate-level reader with enough introductory knowledge so that he or she can not only read the literature and study the next level textbook but can also apply the theory to find optimal solutions in practice. No more is needed than the usual background of an undergraduate engineering, science, or mathematics program: namely calculus, differential equations, and numerical integration. Although finding optimal solutions for these problems is a complex process involving the calculus of variations, the authors carefully lay out step-by-step the most important theorems and concepts. Numerous examples are worked to demonstrate how to apply the theories to everything from classical problems (e.g., crossing a river in minimum time) to engineering problems (e.g., minimum-fuel launch of a satellite). Throughout the book use is made of the time-optimal launch of a satellite into orbit as an important case study with detailed analysis of two examples: launch from the Moon and launch from Earth. For launching into the field of optimal solutions, look no further!
Advanced Problems and Methods for Space Flight Optimization
Advanced Problems and Methods for Space Flight Optimization presents the optimization theory and its application to space flight. This book covers a wide range of topics, including optimal guidance, general mathematical methods of optimization, optimal transfer trajectories, and optimization of design parameters. Organized into 15 chapters, this book begins with an overview of the approximate analytic solution developed for minimum fuel guidance from an arbitrary point on a hyperbolic orbit into a definite circular orbit. This text then determines the maximum range trajectory for a glider entering the Earth's atmosphere at a supercircular velocity. Other chapters consider the economical transfers between Keplerian orbits, which has made considerable progress in the time-free case. This book discusses as well the Pontryagin Maximum Principle used to determine the optimal transfers between arbitrary coaxial ellipses. The final chapter deals with the synthesis of minimum-fuel controls for a class of aerospace control problems. This book is a valuable resource for aerospace engineers.