An Introduction to the Mathematics and Methods of Astrodynamics

An Introduction to the Mathematics and Methods of Astrodynamics PDF Author: Richard H. Battin
Publisher: AIAA
ISBN: 9781600860263
Category : Astrodynamics
Languages : en
Pages : 840

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Book Description

An Introduction to the Mathematics and Methods of Astrodynamics

An Introduction to the Mathematics and Methods of Astrodynamics PDF Author: Richard H. Battin
Publisher: AIAA
ISBN: 9781600860263
Category : Astrodynamics
Languages : en
Pages : 840

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Book Description


Fundamentals of Astrodynamics

Fundamentals of Astrodynamics PDF Author: Roger R. Bate
Publisher: Courier Corporation
ISBN: 9780486600611
Category : Technology & Engineering
Languages : en
Pages : 484

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Book Description
Teaching text developed by U.S. Air Force Academy and designed as a first course emphasizes the universal variable formulation. Develops the basic two-body and n-body equations of motion; orbit determination; classical orbital elements, coordinate transformations; differential correction; more. Includes specialized applications to lunar and interplanetary flight, example problems, exercises. 1971 edition.

A Collection of Problems on the Equations of Mathematical Physics

A Collection of Problems on the Equations of Mathematical Physics PDF Author: Vasilij S. Vladimirov
Publisher: Springer Science & Business Media
ISBN: 3662055589
Category : Science
Languages : en
Pages : 288

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Book Description
The extensive application of modern mathematical teehniques to theoretical and mathematical physics requires a fresh approach to the course of equations of mathematical physics. This is especially true with regards to such a fundamental concept as the 80lution of a boundary value problem. The concept of a generalized solution considerably broadens the field of problems and enables solving from a unified position the most interesting problems that cannot be solved by applying elassical methods. To this end two new courses have been written at the Department of Higher Mathematics at the Moscow Physics anrl Technology Institute, namely, "Equations of Mathematical Physics" by V. S. Vladimirov and "Partial Differential Equations" by V. P. Mikhailov (both books have been translated into English by Mir Publishers, the first in 1984 and the second in 1978). The present collection of problems is based on these courses and amplifies them considerably. Besides the classical boundary value problems, we have ineluded a large number of boundary value problems that have only generalized solutions. Solution of these requires using the methods and results of various branches of modern analysis. For this reason we have ineluded problems in Lebesgue in tegration, problems involving function spaces (especially spaces of generalized differentiable functions) and generalized functions (with Fourier and Laplace transforms), and integral equations.

Space Vehicle Dynamics and Control

Space Vehicle Dynamics and Control PDF Author: Bong Wie
Publisher: AIAA
ISBN: 9781563472619
Category : Mathematics
Languages : en
Pages : 692

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Book Description
A textbook that incorporates the latest methods used for the analysis of spacecraft orbital, attitude, and structural dynamics and control. Spacecraft dynamics is treated as a dynamic system with emphasis on practical applications, typical examples of which are the analysis and redesign of the pointing control system of the Hubble Space Telescope and the analysis of an active vibrations control for the COFS (Control of Flexible Structures) Mast Flight System. In addition to the three subjects mentioned above, dynamic systems modeling, analysis, and control are also discussed. Annotation copyrighted by Book News, Inc., Portland, OR

Fundamentals of Celestial Mechanics

Fundamentals of Celestial Mechanics PDF Author: J. M. A. Danby
Publisher:
ISBN:
Category : Celestial mechanics
Languages : en
Pages : 376

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Book Description


Celestial Mechanics and Astrodynamics: Theory and Practice

Celestial Mechanics and Astrodynamics: Theory and Practice PDF Author: Pini Gurfil
Publisher: Springer
ISBN: 3662503700
Category : Science
Languages : en
Pages : 522

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Book Description
This volume is designed as an introductory text and reference book for graduate students, researchers and practitioners in the fields of astronomy, astrodynamics, satellite systems, space sciences and astrophysics. The purpose of the book is to emphasize the similarities between celestial mechanics and astrodynamics, and to present recent advances in these two fields so that the reader can understand the inter-relations and mutual influences. The juxtaposition of celestial mechanics and astrodynamics is a unique approach that is expected to be a refreshing attempt to discuss both the mechanics of space flight and the dynamics of celestial objects. “Celestial Mechanics and Astrodynamics: Theory and Practice” also presents the main challenges and future prospects for the two fields in an elaborate, comprehensive and rigorous manner. The book presents homogenous and fluent discussions of the key problems, rendering a portrayal of recent advances in the field together with some basic concepts and essential infrastructure in orbital mechanics. The text contains introductory material followed by a gradual development of ideas interweaved to yield a coherent presentation of advanced topics.

Introduction to Path-integral Methods in Physics and Polymer Science

Introduction to Path-integral Methods in Physics and Polymer Science PDF Author: Frederik W. Wiegel
Publisher: World Scientific
ISBN: 9789971978709
Category : Science
Languages : en
Pages : 226

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Book Description
This monograph distills material prepared by the author for class lectures, conferences and research seminars. It fills in a much-felt gap between the older and original work by Feynman and Hibbs and the more recent and advanced volume by Schulman. After presenting an elementary account on the Wiener path integral as applied to Brownian motion, the author progresses on to the statistics of polymers and polymer entanglements. The next three chapters provide an introduction to quantum statistical physics with emphasis on the conceptual understanding of many-variable systems. A chapter on the renormalization group provides material for starting on research work. The final chapter contains an over view of the role of path integrals in recent developments in physics. A good bibliography is provided for each chapter.

Orbital Mechanics for Engineering Students

Orbital Mechanics for Engineering Students PDF Author: Howard D Curtis
Publisher: Elsevier
ISBN: 0080887848
Category : Technology & Engineering
Languages : en
Pages : 744

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Book Description
Orbital Mechanics for Engineering Students, Second Edition, provides an introduction to the basic concepts of space mechanics. These include vector kinematics in three dimensions; Newton’s laws of motion and gravitation; relative motion; the vector-based solution of the classical two-body problem; derivation of Kepler’s equations; orbits in three dimensions; preliminary orbit determination; and orbital maneuvers. The book also covers relative motion and the two-impulse rendezvous problem; interplanetary mission design using patched conics; rigid-body dynamics used to characterize the attitude of a space vehicle; satellite attitude dynamics; and the characteristics and design of multi-stage launch vehicles. Each chapter begins with an outline of key concepts and concludes with problems that are based on the material covered. This text is written for undergraduates who are studying orbital mechanics for the first time and have completed courses in physics, dynamics, and mathematics, including differential equations and applied linear algebra. Graduate students, researchers, and experienced practitioners will also find useful review materials in the book. NEW: Reorganized and improved discusions of coordinate systems, new discussion on perturbations and quarternions NEW: Increased coverage of attitude dynamics, including new Matlab algorithms and examples in chapter 10 New examples and homework problems

Fundamentals of Astrodynamics

Fundamentals of Astrodynamics PDF Author: Roger R. Bate
Publisher: Courier Dover Publications
ISBN: 0486497046
Category : Science
Languages : en
Pages : 435

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Book Description
Widely known and used throughout the astrodynamics and aerospace engineering communities, this teaching text was developed at the U.S. Air Force Academy. Completely revised and updated 2013 edition.

Problems in Analysis

Problems in Analysis PDF Author: B. Gelbaum
Publisher: Springer Science & Business Media
ISBN: 1461576792
Category : Mathematics
Languages : en
Pages : 232

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Book Description
These problems and solutions are offered to students of mathematics who have learned real analysis, measure theory, elementary topology and some theory of topological vector spaces. The current widely used texts in these subjects provide the background for the understanding of the problems and the finding of their solutions. In the bibliography the reader will find listed a number of books from which the necessary working vocabulary and techniques can be acquired. Thus it is assumed that terms such as topological space, u-ring, metric, measurable, homeomorphism, etc., and groups of symbols such as AnB, x EX, f: IR 3 X 1-+ X 2 - 1, etc., are familiar to the reader. They are used without introductory definition or explanation. Nevertheless, the index provides definitions of some terms and symbols that might prove puzzling. Most terms and symbols peculiar to the book are explained in the various introductory paragraphs titled Conventions. Occasionally definitions and symbols are introduced and explained within statements of problems or solutions. Although some solutions are complete, others are designed to be sketchy and thereby to give their readers an opportunity to exercise their skill and imagination. Numbers written in boldface inside square brackets refer to the bib liography. I should like to thank Professor P. R. Halmos for the opportunity to discuss with him a variety of technical, stylistic, and mathematical questions that arose in the writing of this book. Buffalo, NY B.R.G.