Least Squares Solutions In Statistical Orbit Determination Using Singular Value Decomposition
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Least Squares Solutions In Statistical Orbit Determination Using Singular Value Decomposition
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Author : Patrick M. Marshall
language : en
Publisher:
Release Date : 1999-06-01
Least Squares Solutions In Statistical Orbit Determination Using Singular Value Decomposition written by Patrick M. Marshall and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-06-01 with Gaussian processes categories.
This thesis is a partial analysis of the Naval Space Command statistical orbit determination algorithms. Through a process called Differential Correction, data from space surveillance radar observation stations is synthesized with previously accumulated element sets to maintain accurate orbital object position information. Differential Correction is a nonlinear least squares process employing statistical techniques to minimize the residual measurement error thereby increasing relative position information accuracy. This study focuses specifically on the algorithmic methods of solution to the systems of normal equations generated by the Differential Correction process. A comparison and analysis of the present Naval Space Command method and the singular value decomposition method is presented. Algorithmic constructions are presented for both methods and problematic areas are highlighted. The principal focus herein is to demonstrate the benefit of singular value decomposition when attempting to solve systems of equations whose coefficient matrices are dense and nearly singular. These results generalize to commonly employed normal equation solution algorithms and are intended for further study and possible incorporation by Naval Space Command as part of future modernization plans.
Fundamentals Of Astrodynamics And Applications
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Author : D.A. Vallado
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-06-30
Fundamentals Of Astrodynamics And Applications written by D.A. Vallado and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-06-30 with Technology & Engineering categories.
Fundamentals of Astrodynamics and Applications is rapidly becoming the standard astrodynamics reference for those involved in the business of spaceflight. What sets this book apart is that nearly all of the theoretical mathematics is followed by discussions of practical applications implemented in tested software routines. For example, the book includes a compendium of algorithms that allow students and professionals to determine orbits with high precision using a PC. Without a doubt, when an astrodynamics problem arises in the future, it will become standard practice for engineers to keep this volume close at hand and `look it up in Vallado'. While the first edition was an exceptionally useful and popular book throughout the community, there are a number of reasons why the second edition will be even more so. There are many reworked examples and derivations. Newly introduced topics include ground illumination calculations, Moon rise and set, and a listing of relevant Internet sites. There is an improved and expanded discussion of coordinate systems, orbit determination, and differential correction. Perhaps most important is that all of the software routines described in the book are now available for free in FORTRAN, PASCAL, and C. This makes the second edition an even more valuable text and superb reference.
Solving Least Squares Problems
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Author : Charles L. Lawson
language : en
Publisher: SIAM
Release Date : 1995-12-01
Solving Least Squares Problems written by Charles L. Lawson and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-12-01 with Mathematics categories.
This Classic edition includes a new appendix which summarizes the major developments since the book was originally published in 1974. The additions are organized in short sections associated with each chapter. An additional 230 references have been added, bringing the bibliography to over 400 entries. Appendix C has been edited to reflect changes in the associated software package and software distribution method.
Satellite Orbits
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Author : Oliver Montenbruck
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Satellite Orbits written by Oliver Montenbruck and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
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.
Astrodynamics
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Author :
language : en
Publisher:
Release Date : 2000
Astrodynamics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Astrodynamics categories.
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1993
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Aeronautics categories.
Encyclopedia Of Measurement And Statistics
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Author : Neil J. Salkind
language : en
Publisher: SAGE
Release Date : 2007
Encyclopedia Of Measurement And Statistics written by Neil J. Salkind and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Psychology categories.
Publisher Description
Encyclopedia Of Global Change J Z
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Author : Andrew Goudie
language : en
Publisher:
Release Date : 2002
Encyclopedia Of Global Change J Z written by Andrew Goudie and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Global environmental change categories.
This reference work concentrates upon both the natural and man-made changes to the world's environment. Containing over 300 original, signed articles by distinguished scholars and 1,500 illustrations it is the comprehensive encyclopedia for this multi-discipline, high profile field. Articles fall into the general categories of: concepts of global change, earth and earth systems, human factors, resources, responses to global change agreements and associations, biographies and case studies. The accessible and jargon-free language make it an excellent work for the professional scholar as well as the interested general reader and a detail network of cross references and blind entries will help readers at all levels.
Model Independent Analysis Of Beam Centroid Dynamics In Accelerators
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Author : Chun-xi Wang
language : en
Publisher:
Release Date : 1999
Model Independent Analysis Of Beam Centroid Dynamics In Accelerators written by Chun-xi Wang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.
Remote Sensing Of Volcanic Processes And Risk
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Author : Francesca Cigna
language : en
Publisher: MDPI
Release Date : 2021-03-17
Remote Sensing Of Volcanic Processes And Risk written by Francesca Cigna and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-17 with Science categories.
Remote sensing data and methods are increasingly being implemented in assessments of volcanic processes and risk. This happens thanks to their capability to provide a spectrum of observation and measurement opportunities to accurately sense the dynamics, magnitude, frequency, and impacts of volcanic activity. This book includes research papers on the use of satellite, aerial, and ground-based remote sensing to detect thermal features and anomalies, investigate lava and pyroclastic flows, predict the flow path of lahars, measure gas emissions and plumes, and estimate ground deformation. The multi-disciplinary character of the approaches employed for volcano monitoring and the combination of a variety of sensor types, platforms, and methods that come out from the papers testify to the current scientific and technology trends toward multi-data and multi-sensor monitoring solutions. The added value of the papers lies in the demonstration of how remote sensing can improve our knowledge of volcanoes that pose a threat to local communities; back-analysis and critical revision of recent volcanic eruptions and unrest periods; and improvement of modeling and prediction methods. Therefore, the selected case studies also demonstrate the societal impact that this scientific discipline can potentially have on volcanic hazard and risk management.