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Analytical Solutions For Extremal Space Trajectories

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Analytical Solutions for Extremal Space Trajectories

Analytical Solutions for Extremal Space Trajectories Book
Author : Dilmurat M. Azimov
Publisher : Butterworth-Heinemann
Release : 2017-08-23
ISBN : 0128140593
Language : En, Es, Fr & De

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Book Description :

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

Analytical Solutions for Extremal Space Trajectories

Analytical Solutions for Extremal Space Trajectories Book
Author : Dilmurat M. Azimov
Publisher : Butterworth-Heinemann
Release : 2017-09-13
ISBN : 9780128140581
Language : En, Es, Fr & De

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Book Description :

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

Analysis of Maximum Range Trajectories for Rocket propelled Lunar Flying Vehicles in a Uniform Gravitational Field

Analysis of Maximum Range Trajectories for Rocket propelled Lunar Flying Vehicles in a Uniform Gravitational Field Book
Author : A. Gary Childs,Ernest S. Armstrong
Publisher : Unknown
Release : 1969
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Analysis of Maximum Range Trajectories for Rocket propelled Lunar Flying Vehicles in a Uniform Gravitational Field book written by A. Gary Childs,Ernest S. Armstrong, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Advanced Problems and Methods for Space Flight Optimization

Advanced Problems and Methods for Space Flight Optimization Book
Author : B. Fraeijs De Veubeke
Publisher : Elsevier
Release : 2013-10-22
ISBN : 1483152405
Language : En, Es, Fr & De

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Book Description :

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.

Computer Program Abstracts

Computer Program Abstracts Book
Author : Anonim
Publisher : Unknown
Release : 1971
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Computer Program Abstracts book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports Book
Author : Anonim
Publisher : Unknown
Release : 1994
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Scientific and Technical Aerospace Reports book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

The Bellman Function Technique in Harmonic Analysis

The Bellman Function Technique in Harmonic Analysis Book
Author : Vasily Vasyunin,Alexander Volberg
Publisher : Cambridge University Press
Release : 2020-08-06
ISBN : 1108486894
Language : En, Es, Fr & De

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Book Description :

A comprehensive reference on the Bellman function method and its applications to various topics in probability and harmonic analysis.

Spacecraft Trajectory Optimization

Spacecraft Trajectory Optimization Book
Author : Bruce A. Conway
Publisher : Cambridge University Press
Release : 2010-08-23
ISBN : 113949077X
Language : En, Es, Fr & De

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Book Description :

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.

Recent Advances in Celestial and Space Mechanics

Recent Advances in Celestial and Space Mechanics Book
Author : Bernard Bonnard,Monique Chyba
Publisher : Springer
Release : 2016-03-26
ISBN : 3319274643
Language : En, Es, Fr & De

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Book Description :

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.

Aeronautical Engineering

Aeronautical Engineering Book
Author : Anonim
Publisher : Unknown
Release : 1991
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Aeronautical Engineering book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

New Trends in Astrodynamics and Applications

New Trends in Astrodynamics and Applications Book
Author : Edward Belbruno
Publisher : Unknown
Release : 2005
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download New Trends in Astrodynamics and Applications book written by Edward Belbruno, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Optimal Control with Aerospace Applications

Optimal Control with Aerospace Applications Book
Author : James M Longuski,José J. Guzmán,John E. Prussing
Publisher : Springer Science & Business Media
Release : 2013-11-04
ISBN : 1461489458
Language : En, Es, Fr & De

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Book Description :

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!

NASA Technical Note

NASA Technical Note Book
Author : United States. National Aeronautics and Space Administration
Publisher : Unknown
Release : 1959
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download NASA Technical Note book written by United States. National Aeronautics and Space Administration, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

United States Space Science Program

United States Space Science Program Book
Author : Anonim
Publisher : National Academies
Release : 1966
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download United States Space Science Program book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Cosmic Research

Cosmic Research Book
Author : Anonim
Publisher : Unknown
Release : 1988
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Cosmic Research book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Applied Mechanics Reviews

Applied Mechanics Reviews Book
Author : Anonim
Publisher : Unknown
Release : 1971
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Applied Mechanics Reviews book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Air Force Research Resum s

Air Force Research Resum  s Book
Author : Anonim
Publisher : Unknown
Release : 2023-02-05
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Air Force Research Resum s book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

International Aerospace Abstracts

International Aerospace Abstracts Book
Author : Anonim
Publisher : Unknown
Release : 1996
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download International Aerospace Abstracts book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Literature 1972 Part 2

Literature 1972  Part 2 Book
Author : S. Böhme,W. Fricke,U. Güntzel-Lingner,F. Henn,D. Krahn,U. Scheffer,G. Zech
Publisher : Springer Science & Business Media
Release : 2013-04-18
ISBN : 3662122847
Language : En, Es, Fr & De

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Book Description :

Astronomy and Astrophysics Abstracts, which has appeared in semi-annual volumes since 1969, is de voted to the recording, summarizing and indexing of astronomical publications throughout the world. It is prepared under the auspices of the International Astronomical Union (according to a resolution adopted at the 14th General Assembly in 1970). Astronomy and Astrophysics Abstracts aims to present a comprehensive documentation of literature in all fields of astronomy and astrophysics. Every effort will be made to ensure that the average time interval between the date of receipt of the original literature and publication of the abstracts will not exceed eight months. This time interval is near to that achieved by monthly abstracting journals, com pared to which our system of accumulating abstracts for about six months offers the advantage of greater convenience for the user. Volume 8 contains literature published in 1972 and received before March 15, 1973; some older liter ature which was received late and which is not recorded in earlier volumes is also included.