A Short Course in Orbital Mechanics

This is a short course covering introductory topics in orbital mechanics.

Author: David A Cicci

Publisher:

ISBN: 9798743846283

Category:

Page: 230

View: 393

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This is a short course covering introductory topics in orbital mechanics. It focuses on Satellite Perturbations. This course is structured to present the basic concepts without the in-depth theoretical background and mathematical derivations that commonly accompany an academic presentation of the subject. My intention is to introduce orbital mechanics in a simplified manner to those with no previous background in the field, or to provide a review to those who have studied the subject previously. Readers should have a familiarity with differential and integral calculus and differential equations to help understand some of the equations presented. The form of this short course is like the many short courses I've taught at government agencies and private corporations during my thirty-five-year career as an aerospace engineering professor at Auburn University. It presents the material in a simplified outline/bullet format using many understandable figures, rather than using lengthy, detailed explanations with complex mathematical derivations and proofs. It provides the practical equations that are useful to the practicing engineer working in orbital mechanics. The objectives of this short course are to: Review coordinate systems, time and timekeeping, basic definitions, and terminology commonly used in orbital mechanics; Present the fundamentals of two-body orbital mechanics, i.e., the study of the motion of natural and artificial bodies in space; Review Newton's Laws of Motion, Newton's Law of Universal Gravitation, and Kepler's Laws; Describe applications of two-body orbital mechanics, including launching, ground tracks, orbital transfers, plane changes, interplanetary trajectories, and planetary capture; Review alternate solutions to Kepler's Problem, including the f and g function solutions and the f and g series solutions. The material presented is usually covered in a first course in orbital mechanics except that there is no required homework, quizzes, projects, computer programs, or examinations. I believe that even a novice reading through this material will gain an in-depth understanding of two-body orbital mechanics. My former students should recognize everything in this presentation, and if they didn't learn it the first time, they can learn it now through this simplified short course with a lot less work. Orbital mechanics is not easy, but it's my goal to make it enjoyably simple once the basic laws are understood. To do so, I've attempted to present the difficult concepts as clearly as possible to facilitate that understanding. Completion of this short course should enhance the knowledge base of all those who read through its content. This short course is part of a series I've developed as a Professor at Auburn University. Others in this series that will be available soon include: Orbital Mechanics, Part II: Satellite Perturbations; State Estimation and Kalman Filtering; and Fundamentals of Inertial Navigation and Missile Guidance. If you have questions, please contact me at: [email protected]
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A Short Course in Orbital Mechanics

This is a short course covering introductory topics in orbital mechanics.

Author: David A Cicci

Publisher:

ISBN: 9798702839240

Category:

Page: 236

View: 632

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This is a short course covering introductory topics in orbital mechanics. It focuses on the Two-Body Problem. This course is structured to present the basic concepts without the in-depth theoretical background and mathematical derivations that commonly accompany an academic presentation of the subject. My intention is to introduce orbital mechanics in a simplified manner to those with no previous background in the field, or to provide a review to those who have studied the subject previously. Readers should have a familiarity with differential and integral calculus and differential equations to help understand some equations presented.The form of this short course is like the many short courses I've taught at government agencies and private corporations during my thirty-five-year career as an aerospace engineering professor at Auburn University. It presents the material in a simplified outline/bullet format using many understandable figures, rather than using lengthy, detailed explanations with complex mathematical derivations and proofs. It provides the practical equations that are useful to the practicing engineer working in orbital mechanics. The objectives of this short course are to: - Review coordinate systems, time and timekeeping, basic definitions, and terminology commonly used in orbital mechanics.- Present the fundamentals of two-body orbital mechanics, i.e., the study of the motion of natural and artificial bodies in space.- Review Newton's Laws of Motion, Newton's Law of Universal Gravitation, and Kepler's Laws.- Describe applications of two-body orbital mechanics, including launching, ground tracks, orbital transfers, plane changes, interplanetary trajectories, and planetary capture. - Review alternate solutions to Kepler's Problem, including the f and g function solutions and the f and g series solutions.T material presented is usually covered in a first course in orbital mechanics except that there is no required homework, quizzes, projects, computer programs, or examinations. I believe that even a novice reading through this material will gain an in-depth understanding of two-body orbital mechanics. My former students should recognize everything in this presentation, and if they didn't learn it the first time, they can learn it now through this simplified short course with a lot less work. Orbital mechanics is not easy, but it's my goal to make it enjoyably simple once the basic laws are understood. To do so, I've attempted to present the difficult concepts as clearly as possible to facilitate that understanding. Completion of this short course should enhance the knowledge base of all those who read through its content.This short course is part of a series I've developed as a Professor at Auburn University. Others in this series that will be available soon include: Orbital Mechanics, Part II: Satellite PerturbationsState Estimation and Kalman FilteringFundamentals of Inertial Navigation and Missile GuidanceIf you have questions, please contact me at: [email protected] A. CicciAuburn, Alabama
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Orbital Mechanics

A lively study of orbital mechanics by the writer responsible for the computer simulations and systems analysis for the Saturn V moon rocket, Project Skylab and many others.

Author: Tom Logsdon

Publisher: John Wiley & Sons

ISBN: 0471146366

Category: Technology & Engineering

Page: 288

View: 853

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A lively study of orbital mechanics by the writer responsible for the computer simulations and systems analysis for the Saturn V moon rocket, Project Skylab and many others. Provides thorough coverage of all background theories, including unusual concepts and paradoxes that will enhance appreciation of this field. Includes discussion of rocket propulsion and optimization of techniques for maximizing payload and minimizing fuel consumption, plus complete coverage of the interaction of space vehicles and space bodies.
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Orbital Mechanics for Engineering Students

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.

Author: Howard D Curtis

Publisher: Elsevier

ISBN: 9780080887845

Category: Technology & Engineering

Page: 744

View: 797

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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
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A Short Course in State Estimation and Kalman Filtering

This is a short course covering advanced topics in state estimation and Kalman filtering.

Author: David Cicci

Publisher:

ISBN: 9798525758421

Category:

Page: 214

View: 674

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This is a short course covering advanced topics in state estimation and Kalman filtering. It focuses on the Orbit Determination problem. This course is structured to present the basic concepts without the in-depth theoretical background and mathematical derivations that commonly accompany an academic presentation of the subject. My intention is to introduce state estimation in a simplified manner to those with no previous background in the field, or to provide a review to those who have studied the subject previously. Readers should have a familiarity with differential and integral calculus and differential equations to help understand some equations presented. The form of this short course is like the many short courses I've taught at government agencies and private corporations during my thirty-five-year career as an aerospace engineering professor at Auburn University. It presents the material in a simplified outline / bullet format using many understandable figures, rather than using lengthy, detailed explanations with complex mathematical derivations and proofs. It provides the practical equations that are useful to the practicing engineer. The objectives of this short course are to: - Introduce the concepts and fundamentals of state estimation, with applications to the orbit determination problem. - Present the concepts of batch estimation using least squares, weighted least squares, minimum variance, and ridge-type estimation methods. - Introduce the fundamentals of sequential estimation using the Kalman filter, the Extended Kalman filter, and the Unscented Kalman filter. - Discuss the sources of error in orbit determination and present methods of improving accuracy in the solution process- - Present practical considerations of orbit determination involving observational data, update intervals and fit spans, the results of differential correction, and the use of smoothers and GPS. The material presented is usually covered in graduate level course in estimation theory except that there's no required homework, quizzes, projects, computer programs to write, or examinations. I believe that even a novice reading through this material will gain an in-depth understanding of state estimation. My former students should recognize everything in this presentation, and if they didn't learn it the first time, they can learn it now through this simplified short course with much less work. State estimation and Kalman filtering is not easy, but it's my goal to make it enjoyably simple once the fundamentals are understood. To do so, I've attempted to present the difficult concepts as clearly as possible to facilitate that understanding. Completion of this short course should enhance the knowledge base of all those who read through its content. This short course is part of a series I've developed as a Professor at Auburn University. Others in this series include: Orbital Mechanics, Part I: The Two-Body Problem Orbital Mechanics, Part II: Satellite Perturbations Fundamentals of Inertial Navigation and Missile Guidance David A. Cicci, Auburn, Alabama, [email protected]
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Adventures in Celestial Mechanics

In Professor Szebehely's own words, his aim is "to infatuate students with the beauty of celestial mechanics, to emphasize the basic and simple principles, and to offer as challenges the fascinating, unsolved problems in this field.

Author: Victor G. Szebehely

Publisher:

ISBN: UOM:39015018503311

Category: Science

Page: 175

View: 474

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"In this well-written textbook, one of the world's leading authorities provides an expert introduction to the principles of orbital mechanics, with applications to the dynamics of space probes, artificial satellites, and members of the solar system. In Professor Szebehely's own words, his aim is "to infatuate students with the beauty of celestial mechanics, to emphasize the basic and simple principles, and to offer as challenges the fascinating, unsolved problems in this field." "--Back cover.
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A Short Course in Inertial Navigation and Missile Guidance

This is a short course covering basic and advanced topics inertial navigation and missile guidance.

Author: David A Cicci

Publisher:

ISBN: 9798549211919

Category:

Page: 214

View: 563

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This is a short course covering basic and advanced topics inertial navigation and missile guidance. This course is structured to present the fundamental concepts without the in-depth theoretical background and many of the mathematical derivations that commonly accompany an academic presentation of the subject. My intention was to introduce navigation and guidance in a simplified manner to those with no previous background in the field, or to provide a review to those who have studied the subjects previously. Readers should have a familiarity with differential and integral calculus and differential equations to help understand some equations presented. The form of this short course is like the many short courses I've taught at government agencies and private corporations during my thirty-five-year career as a professor of aerospace engineering at Auburn University. It presents the material in a simple outline/bullet format using many understandable figures, rather than using lengthy, detailed explanations with complex mathematical derivations and proofs. It provides the practical equations that are useful to the practicing engineer. The objectives of this short course are to: - Review the navigation, guidance, and control process and the role of inertial navigation. - Discuss the concept and functionality of inertial sensors and their role in inertial navigation. - Present the coordinate systems and coordinate transformation methods used in inertial navigation. - Explain Newton's Second Law and its application to inertial navigation. - Review how the mechanization equations are developed and used in inertial navigation, including gravitational modeling. - Present the sources of navigation errors and how they are mathematically modeled. - Introduce the concepts of GPS-aided inertial navigation systems, along with possible filtering and coupling approaches. - Examine missile modeling techniques and equations of motion used in missile guidance. - Review the fundamentals of missile guidance methods and guidance system models. - Provide an overview and performance comparison of classical guidance laws. - Describe the concept of Linear Quadratic Guidance theory and its use in the development of advanced guidance laws. - Introduce how inertial measurement units can be modeled mathematically. The material presented is usually covered in graduate level course except that there's no required homework, quizzes, projects, computer programs to write, or examinations. I believe that even a novice reading through this material will gain an in-depth understanding of the subjects covered. The material presented is not easy, but it can be enjoyably simple once the fundamentals are understood. To that end, I've attempted to present the difficult concepts as clearly as possible to facilitate that understanding. This short course is part of a series I've developed as a Professor at Auburn University. Others in this series include: Orbital Mechanics, Part I: The Two-Body Problem Orbital Mechanics, Part II: Satellite Perturbations State Estimation and Kalman Filtering: Fundamentals of Orbit Determination David A. Cicci Auburn, Alabama [email protected]
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Celestial Mechanics and Astrodynamics Theory and Practice

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.

Author: Pini Gurfil

Publisher: Springer

ISBN: 9783662503706

Category: Science

Page: 522

View: 186

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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.
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Fundamentals of Astrodynamics

Teaching text developed by U.S. Air Force Academy and designed as a first course emphasizes the universal variable formulation.

Author: Roger R. Bate

Publisher: Courier Corporation

ISBN: 0486600610

Category: Technology & Engineering

Page: 455

View: 762

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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.
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Orbital Mechanics

Completely revised and updated, this edition provides: * Current data and statistics, along with coverage of new research and the most recent developments in the field * Three new chapters: "The Three-Body Problem" (Ch. 4), "Continuous ...

Author: John E. Prussing

Publisher: Oxford University Press, USA

ISBN: 0199837708

Category: Science

Page: 284

View: 340

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One of the major challenges of modern space mission design is the orbital mechanics -- determining how to get a spacecraft to its destination using a limited amount of propellant. Recent missions such as Voyager and Galileo required gravity assist maneuvers at several planets to accomplish their objectives. Today's students of aerospace engineering face the challenge of calculating these types of complex spacecraft trajectories. This classroom-tested textbook takes its title from an elective course which has been taught to senior undergraduates and first-year graduate students for the past 22 years. The subject of orbital mechanics is developed starting from the first principles, using Newton's laws of motion and the law of gravitation to prove Kepler's empirical laws of planetary motion. Unlike many texts the authors also use first principles to derive other important results including Kepler's equation, Lambert's time-of-flight equation, the rocket equation, the Hill-Clohessy-Wiltshire equations of relative motion, Gauss' equations for the variation of the elements, and the Gauss and Laplace methods of orbit determination. The subject of orbit transfer receives special attention. Optimal orbit transfers such as the Hohmann transfer, minimum-fuel transfers using more than two impulses, and non-coplanar orbital transfer are discussed. Patched-conic interplanetary trajectories including gravity-assist maneuvers are the subject of an entire chapter and are particularly relevant to modern space missions.
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Elements of Spacecraft Design

Annotation This text discusses the conceptual stages of mission design, systems engineering, and orbital mechanics, providing a basis for understanding the design process for different components and functions of a spacecraft.

Author: Charles D. Brown

Publisher: AIAA

ISBN: 1600860516

Category: Electronic books

Page: 606

View: 818

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Annotation This text discusses the conceptual stages of mission design, systems engineering, and orbital mechanics, providing a basis for understanding the design process for different components and functions of a spacecraft. Coverage includes propulsion and power systems, structures, attitude control, thermal control, command and data systems, and telecommunications. Worked examples and exercises are included, in addition to appendices on acronyms and abbreviations and spacecraft design data. The book can be used for self-study or for a course in spacecraft design. Brown directed the team that produced the Magellan spacecraft, and has taught spacecraft design at the University of Colorado. Annotation c. Book News, Inc., Portland, OR (booknews.com).
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An Introduction to Celestial Mechanics

A clear, concise introduction to all the major features of solar system dynamics, ideal for a first course.

Author: Richard Fitzpatrick

Publisher: Cambridge University Press

ISBN: 9781107023819

Category: Science

Page: 266

View: 637

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A clear, concise introduction to all the major features of solar system dynamics, ideal for a first course.
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Spacecraft Dynamics and Control

This is very important in spacecraft dynamics and control problems, where often multiple coordinate representations are used (in different reference frames) for the same physical vector.

Author: Anton H. de Ruiter

Publisher: John Wiley & Sons

ISBN: 9781118403327

Category: Technology & Engineering

Page: 592

View: 887

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Provides the basics of spacecraft orbital dynamics plusattitude dynamics and control, using vectrix notation Spacecraft Dynamics and Control: An Introductionpresents the fundamentals of classical control in the context ofspacecraft attitude control. This approach is particularlybeneficial for the training of students in both of the subjects ofclassical control as well as its application to spacecraft attitudecontrol. By using a physical system (a spacecraft) that the readercan visualize (rather than arbitrary transfer functions), it iseasier to grasp the motivation for why topics in control theory areimportant, as well as the theory behind them. The entiretreatment of both orbital and attitude dynamics makes use ofvectrix notation, which is a tool that allows the user to writedown any vector equation of motion without consideration of areference frame. This is particularly suited to the treatment ofmultiple reference frames. Vectrix notation also makes a very cleardistinction between a physical vector and its coordinaterepresentation in a reference frame. This is very important inspacecraft dynamics and control problems, where often multiplecoordinate representations are used (in different reference frames)for the same physical vector. Provides an accessible, practical aid for teaching andself-study with a layout enabling a fundamental understanding ofthe subject Fills a gap in the existing literature by providing ananalytical toolbox offering the reader a lasting, rigorousmethodology for approaching vector mechanics, a key element vitalto new graduates and practicing engineers alike Delivers an outstanding resource for aerospace engineeringstudents, and all those involved in the technical aspects of designand engineering in the space sector Contains numerous illustrations to accompany the written text.Problems are included to apply and extend the material in eachchapter Essential reading for graduate level aerospace engineeringstudents, aerospace professionals, researchers and engineers.
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Celestial Mechanics and Astrodynamics

The last chapter deals with a classical subject of celestial mechanics, viz. , the determination of orbits of ... The long preface to this volume also serves as a very short introductory course in celestial mechanics and astrodynamics.

Author: Victor Szebehely

Publisher: Elsevier

ISBN: 9780323163392

Category: Science

Page: 764

View: 548

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Celestial Mechanics and Astrodynamics
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Orbital Mechanics and Astrodynamics

This book also: · Illustrates all key concepts with examples · Includes exercises for each chapter · Explains concepts and engineering tools a student or experienced engineer can apply to mission design and navigation of space missions ...

Author: Gerald R. Hintz

Publisher: Springer

ISBN: 9783319094441

Category: Technology & Engineering

Page: 386

View: 678

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This textbook covers fundamental and advanced topics in orbital mechanics and astrodynamics to expose the student to the basic dynamics of space flight. The engineers and graduate students who read this class-tested text will be able to apply their knowledge to mission design and navigation of space missions. Through highlighting basic, analytic and computer-based methods for designing interplanetary and orbital trajectories, this text provides excellent insight into astronautical techniques and tools. This book is ideal for graduate students in Astronautical or Aerospace Engineering and related fields of study, researchers in space industrial and governmental research and development facilities, as well as researchers in astronautics. This book also: · Illustrates all key concepts with examples · Includes exercises for each chapter · Explains concepts and engineering tools a student or experienced engineer can apply to mission design and navigation of space missions · Covers fundamental principles to expose the student to the basic dynamics of space flight
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Satellite Orbits

The idea for this book emerged when we realized that documentation on the methods, models and tools of orbit determination was either spread over numerous technical and scientific publications, or hidden in software descriptions that are ...

Author: Oliver Montenbruck

Publisher: Springer Science & Business Media

ISBN: 354067280X

Category: Nature

Page: 369

View: 714

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Satellite Orbits -Models, Methods, and Applications has been written as a compre hensive textbook that guides the reader through the theory and practice of satellite orbit prediction and determination. Starting from the basic principles of orbital mechanics, it covers elaborate force models as weH as precise methods of satellite tracking and their mathematical treatment. A multitude of numerical algorithms used in present-day satellite trajectory computation is described in detail, with proper focus on numerical integration and parameter estimation. The wide range of levels provided renders the book suitable for an advanced undergraduate or gradu ate course on spaceflight mechanics, up to a professional reference in navigation, geodesy and space science. Furthermore, we hope that it is considered useful by the increasing number of satellite engineers and operators trying to obtain a deeper understanding of flight dynamics. The idea for this book emerged when we realized that documentation on the methods, models and tools of orbit determination was either spread over numerous technical and scientific publications, or hidden in software descriptions that are not, in general, accessible to a wider community. Having worked for many years in the field of spaceflight dynamics and satellite operations, we tried to keep in c10se touch with questions and problems that arise during daily work, and to stress the practical aspects of orbit determination. Nevertheless, our interest in the underlying physics motivated us to present topics from first principles, and make the book much more than just a cookbook on spacecraft trajectory computation.
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Modern Celestial Mechanics

To grasp celestial mechanics, one must comprehend the fundamental concepts of Hamiltonian systems theory, so this volume begins with an explanation of those concepts.

Author: Alessandro Morbidelli

Publisher: CRC Press

ISBN: 0415279380

Category: Science

Page: 380

View: 559

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In the last 20 years, researchers in the field of celestial mechanics have achieved spectacular results in their effort to understand the structure and evolution of our solar system. Modern Celestial Mechanics uses a solid theoretical basis to describe recent results on solar system dynamics, and it emphasizes the dynamics of planets and of small bodies. To grasp celestial mechanics, one must comprehend the fundamental concepts of Hamiltonian systems theory, so this volume begins with an explanation of those concepts. Celestial mechanics itself is then considered, including the secular motion of planets and small bodies and mean motion resonances. Graduate students and researchers of astronomy and astrophysics will find Modern Celestial Mechanics an essential addition to their bookshelves.
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Regularization in Orbital Mechanics

Regularized equations of motion can improve numerical integration for the propagation of orbits, and simplify the treatment of mission design problems.

Author: Javier Roa

Publisher: Walter de Gruyter GmbH & Co KG

ISBN: 9783110558623

Category: Science

Page: 418

View: 250

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Regularized equations of motion can improve numerical integration for the propagation of orbits, and simplify the treatment of mission design problems. This monograph discusses standard techniques and recent research in the area. While each scheme is derived analytically, its accuracy is investigated numerically. Algebraic and topological aspects of the formulations are studied, as well as their application to practical scenarios such as spacecraft relative motion and new low-thrust trajectories.
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Statistical Orbit Determination

Statistical Orbit Determination presents fundmentals of orbit determination--from weighted least squares approaches (Gauss) to today's high-speed computer algorithms that provide accuracy within a few centimeters.

Author: Bob Schutz

Publisher: Elsevier

ISBN: 9780080541730

Category: Science

Page: 547

View: 737

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Statistical Orbit Determination presents fundmentals of orbit determination--from weighted least squares approaches (Gauss) to today's high-speed computer algorithms that provide accuracy within a few centimeters. Numerous examples and problems are provided to enhance readers' understanding of the material. Covers such topics as coordinate and time systems, square root filters, process noise techniques, and the use of fictitious parameters for absorbing un-modeled and incorrectly modeled forces acting on a satellite. Examples and exercises serve to illustrate the principles throughout each chapter.
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