Final Report Development of Acoustic Methods to Measure Oil Droplet Size
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PRINCIPLES of FLIGHT SIMULATION Aerospace Series List
PRINCIPLES OF FLIGHT SIMULATION Aerospace Series List Handbook of Space Technology Ley, Wittmann April 2009 & Hallmann Surrogate Modelling in Engineering Forrester, Sobester August 2008 Design: A Practical Guide & Keane Aircraft Performance Theory and Swatton August 2008 Practice for Pilots Aircraft Systems, 3rd Edition Moir & Seabridge Introduction to Aircraft Aeroelasticity Wright & Cooper December 2007 and Loads Stability and Control of Aircraft Systems Langton September 2006 Military Avionics Systems Moir & Seabridge February 2006 Design and Development of Aircraft Moir & Seabridge June 2004 Systems Aircraft Loading and Structural Layout Howe May 2004 Aircraft Display Systems Jukes December 2003 Civil Avionics Systems Moir & Seabridge December 2002 PRINCIPLES OF FLIGHT SIMULATION David Allerton Department of Automatic Control and Systems Engineering The University of Sheffield A John Wiley and Sons, Ltd., Publication This edition first published 2009 2009, John Wiley & Sons, Ltd Registered office John Wiley & Sons Ltd, The Atrium, Southern Gate, Chichester, West Sussex, PO19 8SQ, United Kingdom For details of our global editorial offices, for customer services and for information about how to apply for permission to reuse the copyright material in this book please see our website at www.wiley.com. The right of the author to be identified as the author of this work has been asserted in accordance with the Copyright, Designs and Patents Act 1988. All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, except as permitted by the UK Copyright, Designs and Patents Act 1988, without the prior permission of the publisher. -
Quaternion Basics. Wikipedia (En)
Quaternion basics. Wikipedia (en) PDF generated using the open source mwlib toolkit. See http://code.pediapress.com/ for more information. PDF generated at: Tue, 22 Oct 2013 11:18:56 UTC Contents Articles Quaternion 1 Quaternions and spatial rotation 18 Versor 28 Dual quaternion 30 Screw theory 37 Exponential map 44 Rotation formalisms in three dimensions 49 Conversion between quaternions and Euler angles 60 Euler angles 63 Gimbal lock 76 References Article Sources and Contributors 82 Image Sources, Licenses and Contributors 83 Article Licenses License 84 Quaternion 1 Quaternion Quaternion multiplication × 1 i j k 1 1 i j k i i −1 k −j j j −k −1 i k k j −i −1 In mathematics, the quaternions are a number system that extends the complex numbers. They were first described by Irish mathematician William Rowan Hamilton in 1843 and applied to mechanics in three-dimensional space. A feature of quaternions is that the product of two quaternions is noncommutative. Hamilton defined a quaternion as the quotient of two directed lines in a three-dimensional space or equivalently as the quotient of two vectors. Quaternions can also be represented as the sum of a scalar and a vector. Quaternions find uses in both theoretical and applied mathematics, in particular for calculations involving three-dimensional rotations such as in three-dimensional computer graphics and computer vision. They can be used alongside other methods, such as Euler angles and rotation matrices, or as an alternative to them depending on the application. In modern mathematical language, quaternions form a four-dimensional associative normed division algebra over the real numbers, and thus also form a domain. -
Affine Transformation
Affine transformation From Wikipedia, the free encyclopedia Contents 1 2 × 2 real matrices 1 1.1 Profile ................................................. 1 1.2 Equi-areal mapping .......................................... 2 1.3 Functions of 2 × 2 real matrices .................................... 2 1.4 2 × 2 real matrices as complex numbers ............................... 3 1.5 References ............................................... 4 2 3D projection 5 2.1 Orthographic projection ........................................ 5 2.2 Weak perspective projection ..................................... 5 2.3 Perspective projection ......................................... 6 2.4 Diagram ................................................ 8 2.5 See also ................................................ 8 2.6 References ............................................... 9 2.7 External links ............................................. 9 2.8 Further reading ............................................ 9 3 Affine coordinate system 10 3.1 See also ................................................ 10 4 Affine geometry 11 4.1 History ................................................. 12 4.2 Systems of axioms ........................................... 12 4.2.1 Pappus’ law .......................................... 12 4.2.2 Ordered structure ....................................... 13 4.2.3 Ternary rings ......................................... 13 4.3 Affine transformations ......................................... 14 4.4 Affine space ............................................. -
Handling Qualities of Large Rotorcraft in Hover and Low Speed
NASA/TP—2015–216656 Handling Qualities of Large Rotorcraft in Hover and Low Speed Carlos A. Malpica and Colin R. Theodore Ames Research Center, Moffett Field, California Ben Lawrence San Jose State University Research Foundation Ames Research Center, Moffett Field, California Chris L. Blanken U.S. Army Aviation Development Directorate – AFDD Aviation & Missile Research, Development & Engineering Center (AMRDEC) Research, Development and Engineering Command (RDECOM) Ames Research Center, Moffett Field, California Click here: Press F1 key (Windows) or Help key (Mac) for help March 2015 This page is required and contains approved text that cannot be changed. NASA STI Program ... in Profile Since its founding, NASA has been dedicated • CONFERENCE PUBLICATION. to the advancement of aeronautics and space Collected papers from scientific and science. The NASA scientific and technical technical conferences, symposia, seminars, information (STI) program plays a key part in or other meetings sponsored or helping NASA maintain this important role. co-sponsored by NASA. The NASA STI program operates under the • SPECIAL PUBLICATION. Scientific, auspices of the Agency Chief Information Officer. technical, or historical information from It collects, organizes, provides for archiving, and NASA programs, projects, and missions, disseminates NASA’s STI. The NASA STI often concerned with subjects having program provides access to the NASA substantial public interest. Aeronautics and Space Database and its public interface, the NASA Technical Reports Server, • TECHNICAL TRANSLATION. thus providing one of the largest collections of English-language translations of foreign aeronautical and space science STI in the world. scientific and technical material pertinent to Results are published in both non-NASA channels NASA’s mission. -
Columbia Crew Survival Investigation Report
National Aeronautics and Space Administration Columbia Crew Survival Investigation Report NASA/SP-2008-565 Columbia Crew Survival Investigation Report NASA/SP-2008-565 Contents Contents Executive Summary................................................................................................. xix Background..................................................................................................... xix Results............................................................................................................. xix Improving Crew Survival Investigations ........................................................ xxi Introduction............................................................................................................... xxii The Columbia Accident Investigation Board Report...................................... xxii Summary of Conclusions and Recommendations........................................... xxiii Lethal events..................................................................................... xxiii Crew survival accident investigation................................................ xxvi Other................................................................................................. xxvii Summary......................................................................................................... xxvii Report Format................................................................................................. xxviii Conclusions and Recommendations ...................................................................