Analytical Solutions for the Optimization of Rocket Trajectories

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ISBN 13 :
Total Pages : 87 pages
Book Rating : 4.:/5 (367 download)

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Book Synopsis Analytical Solutions for the Optimization of Rocket Trajectories by : Louis Carl Barrett

Download or read book Analytical Solutions for the Optimization of Rocket Trajectories written by Louis Carl Barrett and published by . This book was released on 1956 with total page 87 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analytical Solutions for Extremal Space Trajectories

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Publisher : Butterworth-Heinemann
ISBN 13 : 0128140593
Total Pages : 332 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Analytical Solutions for Extremal Space Trajectories by : Dilmurat M. Azimov

Download or read book Analytical Solutions for Extremal Space Trajectories written by Dilmurat M. Azimov and published by Butterworth-Heinemann. This book was released on 2017-08-23 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Trajectory Optimization for the National Aerospace Plane

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Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781722912871
Total Pages : 28 pages
Book Rating : 4.9/5 (128 download)

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Book Synopsis Trajectory Optimization for the National Aerospace Plane by : National Aeronautics and Space Administration (NASA)

Download or read book Trajectory Optimization for the National Aerospace Plane written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-07-13 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this second phase research is to investigate the optimal ascent trajectory for the National Aerospace Plane (NASP) from runway take-off to orbital insertion and address the unique problems associated with the hypersonic flight trajectory optimization. The trajectory optimization problem for an aerospace plane is a highly challenging problem because of the complexity involved. Previous work has been successful in obtaining sub-optimal trajectories by using energy-state approximation and time-scale decomposition techniques. But it is known that the energy-state approximation is not valid in certain portions of the trajectory. This research aims at employing full dynamics of the aerospace plane and emphasizing direct trajectory optimization methods. The major accomplishments of this research include the first-time development of an inverse dynamics approach in trajectory optimization which enables us to generate optimal trajectories for the aerospace plane efficiently and reliably, and general analytical solutions to constrained hypersonic trajectories that has wide application in trajectory optimization as well as in guidance and flight dynamics. Optimal trajectories in abort landing and ascent augmented with rocket propulsion and thrust vectoring control were also investigated. Motivated by this study, a new global trajectory optimization tool using continuous simulated annealing and a nonlinear predictive feedback guidance law have been under investigation and some promising results have been obtained, which may well lead to more significant development and application in the near future. Lu, Ping Unspecified Center NAG1-1255...

Analytical Investigations in Aircraft and Spacecraft Trajectory Optimization and Optimal Guidance

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Publisher :
ISBN 13 :
Total Pages : 192 pages
Book Rating : 4.3/5 (126 download)

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Book Synopsis Analytical Investigations in Aircraft and Spacecraft Trajectory Optimization and Optimal Guidance by : Nikos Markopoulos

Download or read book Analytical Investigations in Aircraft and Spacecraft Trajectory Optimization and Optimal Guidance written by Nikos Markopoulos and published by . This book was released on 1995 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analytical Investigations in Aircraft and Spacecraft Trajectory Optimization and Optimal Guidance

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Publisher :
ISBN 13 :
Total Pages : 192 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Analytical Investigations in Aircraft and Spacecraft Trajectory Optimization and Optimal Guidance by : Nikos Markopoulos

Download or read book Analytical Investigations in Aircraft and Spacecraft Trajectory Optimization and Optimal Guidance written by Nikos Markopoulos and published by . This book was released on 1995 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Spacecraft Trajectory Optimization

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Publisher : Cambridge University Press
ISBN 13 : 113949077X
Total Pages : 313 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Spacecraft Trajectory Optimization by : Bruce A. Conway

Download or read book Spacecraft Trajectory Optimization written by Bruce A. Conway and published by Cambridge University Press. This book was released on 2010-08-23 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

On the Use of Approximate Analytical Solutions in Solving Optimum Trajectory Problems

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Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis On the Use of Approximate Analytical Solutions in Solving Optimum Trajectory Problems by : Donald J. Jezewski

Download or read book On the Use of Approximate Analytical Solutions in Solving Optimum Trajectory Problems written by Donald J. Jezewski and published by . This book was released on 1965 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analytical Methods of Optimization

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Publisher : Courier Corporation
ISBN 13 : 0486145816
Total Pages : 178 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Analytical Methods of Optimization by : D. F. Lawden

Download or read book Analytical Methods of Optimization written by D. F. Lawden and published by Courier Corporation. This book was released on 2012-05-04 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for advanced undergraduates and graduate students, this text surveys the classical theory of the calculus of variations. It takes the approach most appropriate for applications to problems of optimizing the behavior of engineering systems. Two of these problem areas have strongly influenced this presentation: the design of the control systems and the choice of rocket trajectories to be followed by terrestrial and extraterrestrial vehicles. Topics include static systems, control systems, additional constraints, the Hamilton-Jacobi equation, and the accessory optimization problem. Prerequisites include a course in the analysis of functions of many real variables and a familiarity with the elementary theory of ordinary differential equations, especially linear equations. Emphasis throughout the text is placed upon methods and principles, which are illustrated by worked problems and sets of exercises. Solutions to the exercises are available from the publisher upon request.

Scientific and Technical Aerospace Reports

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Publisher :
ISBN 13 :
Total Pages : 818 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1994 with total page 818 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analytical Investigations in Aircraft and Spacecraft Trajectory Optimization and Optimal Guidance

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Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781722945305
Total Pages : 188 pages
Book Rating : 4.9/5 (453 download)

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Book Synopsis Analytical Investigations in Aircraft and Spacecraft Trajectory Optimization and Optimal Guidance by : National Aeronautics and Space Administration (NASA)

Download or read book Analytical Investigations in Aircraft and Spacecraft Trajectory Optimization and Optimal Guidance written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-07-17 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of analytical studies is presented related to unconstrained and constrained aircraft (a/c) energy-state modeling and to spacecraft (s/c) motion under continuous thrust. With regard to a/c unconstrained energy-state modeling, the physical origin of the singular perturbation parameter that accounts for the observed 2-time-scale behavior of a/c during energy climbs is identified and explained. With regard to the constrained energy-state modeling, optimal control problems are studied involving active state-variable inequality constraints. Departing from the practical deficiencies of the control programs for such problems that result from the traditional formulations, a complete reformulation is proposed for these problems which, in contrast to the old formulation, will presumably lead to practically useful controllers that can track an inequality constraint boundary asymptotically, and even in the presence of 2-sided perturbations about it. Finally, with regard to s/c motion under continuous thrust, a thrust program is proposed for which the equations of 2-dimensional motion of a space vehicle in orbit, viewed as a point mass, afford an exact analytic solution. The thrust program arises under the assumption of tangential thrust from the costate system corresponding to minimum-fuel, power-limited, coplanar transfers between two arbitrary conics. The thrust program can be used not only with power-limited propulsion systems, but also with any propulsion system capable of generating continuous thrust of controllable magnitude, and, for propulsion types and classes of transfers for which it is sufficiently optimal the results of this report suggest a method of maneuvering during planetocentric or heliocentric orbital operations, requiring a minimum amount of computation; thus uniquely suitable for real-time feedback guidance implementations. Markopoulos, Nikos and Calise, Anthony J. Unspecified Center AIRCRAFT GUIDANCE; CONTROLLERS; FLIGHT PATHS; OPTIMAL CONTROL...

U.S. Government Research Reports

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ISBN 13 :
Total Pages : 1600 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis U.S. Government Research Reports by :

Download or read book U.S. Government Research Reports written by and published by . This book was released on 1964 with total page 1600 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Approximate Analysis of Zero-lift Trajectories

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Publisher :
ISBN 13 :
Total Pages : 38 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Approximate Analysis of Zero-lift Trajectories by : C. P. Hoult

Download or read book The Approximate Analysis of Zero-lift Trajectories written by C. P. Hoult and published by . This book was released on 1959 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: The gross motion of a ballistic rocket following a zero-lift trajectory during both powered flight and re-entry is discussed with special reference to the importance of the appropriate dimensionless parameters. Approximate solutions are found for the tip-over maneuver, low- and high-altitude powered flight, and re-entry. Of the greatest significance to the rocket dynamicist is that all the above solutions are related to confluent hypergeometric functions with have been used to describe short-period motion in the literature.

Low Thrust Mission Analysis Using an Analytical Trajectory Optimization Model

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Publisher :
ISBN 13 :
Total Pages : 9 pages
Book Rating : 4.:/5 (45 download)

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Book Synopsis Low Thrust Mission Analysis Using an Analytical Trajectory Optimization Model by : P. M. Lion

Download or read book Low Thrust Mission Analysis Using an Analytical Trajectory Optimization Model written by P. M. Lion and published by . This book was released on 1970 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Method of Approximating Propellant Requirements of Low-thrust Trajectories

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Publisher :
ISBN 13 :
Total Pages : 60 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis A Method of Approximating Propellant Requirements of Low-thrust Trajectories by : Charles L. Zola

Download or read book A Method of Approximating Propellant Requirements of Low-thrust Trajectories written by Charles L. Zola and published by . This book was released on 1966 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Space Engineering

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Publisher : Springer
ISBN 13 : 3319415085
Total Pages : 492 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Space Engineering by : Giorgio Fasano

Download or read book Space Engineering written by Giorgio Fasano and published by Springer. This book was released on 2016-12-31 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a selection of advanced case studies that cover a substantial range of issues and real-world challenges and applications in space engineering. Vital mathematical modeling, optimization methodologies and numerical solution aspects of each application case study are presented in detail, with discussions of a range of advanced model development and solution techniques and tools. Space engineering challenges are discussed in the following contexts: •Advanced Space Vehicle Design •Computation of Optimal Low Thrust Transfers •Indirect Optimization of Spacecraft Trajectories •Resource-Constrained Scheduling, •Packing Problems in Space •Design of Complex Interplanetary Trajectories •Satellite Constellation Image Acquisition •Re-entry Test Vehicle Configuration Selection •Collision Risk Assessment on Perturbed Orbits •Optimal Robust Design of Hybrid Rocket Engines •Nonlinear Regression Analysis in Space Engineering •Regression-Based Sensitivity Analysis and Robust Design •Low-Thrust Multi-Revolution Orbit Transfers •Modeling and Optimization of Balance Layout Problems •Pilot-Induced Oscillations Alleviation •Modeling and Optimization of Hybrid Transfers to Near-Earth Objects •Probabilistic Safety Analysis of the Collision Between Space Debris and Satellite •Flatness-based Low-thrust Trajectory Optimization for Spacecraft Proximity Operations The contributing authors are expert researchers and practitioners in either the space engineering and/or in the applied optimization fields. Researchers and practitioners working in various applied aspects of space engineering will find this book practical and informative. Academics, graduate and post-graduate students in aerospace engineering, applied mathematics, operations research, optimization, and optimal control, will find this book useful.

Analytical Techniques for Trajectory Optimization

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Publisher :
ISBN 13 :
Total Pages : 92 pages
Book Rating : 4.:/5 (851 download)

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Book Synopsis Analytical Techniques for Trajectory Optimization by : Herbert Carl Stankwitz

Download or read book Analytical Techniques for Trajectory Optimization written by Herbert Carl Stankwitz and published by . This book was released on 1980 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Design of Trajectory Optimization Approach for Space Maneuver Vehicle Skip Entry Problems

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Publisher : Springer
ISBN 13 : 9811398453
Total Pages : 207 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Design of Trajectory Optimization Approach for Space Maneuver Vehicle Skip Entry Problems by : Runqi Chai

Download or read book Design of Trajectory Optimization Approach for Space Maneuver Vehicle Skip Entry Problems written by Runqi Chai and published by Springer. This book was released on 2019-07-30 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the design of optimal trajectories for space maneuver vehicles (SMVs) using optimal control-based techniques. It begins with a comprehensive introduction to and overview of three main approaches to trajectory optimization, and subsequently focuses on the design of a novel hybrid optimization strategy that combines an initial guess generator with an improved gradient-based inner optimizer. Further, it highlights the development of multi-objective spacecraft trajectory optimization problems, with a particular focus on multi-objective transcription methods and multi-objective evolutionary algorithms. In its final sections, the book studies spacecraft flight scenarios with noise-perturbed dynamics and probabilistic constraints, and designs and validates new chance-constrained optimal control frameworks. The comprehensive and systematic treatment of practical issues in spacecraft trajectory optimization is one of the book’s major features, making it particularly suited for readers who are seeking practical solutions in spacecraft trajectory optimization. It offers a valuable asset for researchers, engineers, and graduate students in GNC systems, engineering optimization, applied optimal control theory, etc.