ORBITAL MECHANICS FOR ENGINEERING STUDENTS

ORBITAL MECHANICS forEngineering StudentsTo my parents, Rondo and Geraldine, and my wife, Connie DeeOrbital MECHANICS forEngineering StudentsHoward D. CurtisEmbry-Riddle Aeronautical UniversityDaytona Beach, FloridaAMSTERDAM BOSTON HEIDELBERG LONDON NEW YORK OXFORDPARIS SAN DIEGO SAN FRANCISCO SINGAPORE SYDNEY TOKYOE lsevier Butterworth-HeinemannLinacre House, Jordan Hill, Oxford OX2 8DP30 Corporate Drive, Burlington, MA 01803 First published 2005 Copyright 2005, Howard D. Curtis. All rights reservedThe right of Howard D. Curtis to be identified as the author ofthis work has been asserted in accordance with the Copyright, Design andPatents Act 1988No part of this publication may be reproduced in any material form (includingphotocopying or storing in any medium by electronic means and whether ornot transiently or incidentally to some other use of this publication) withoutthe written permission of the copyright holder except in accordance with theprovisions of the Copyright, Designs and Patents Act 1988 or under the terms of alicence issued by the Copyright Licensing Agency Ltd, 90 Tottenham Court Road,London, England W1T 4LP.

Contents Preface xi Supplements to the text xv Chapter1 Dynamics of point masses 1 1.1 Introduction 1 1.2 Kinematics 2 1.3 Mass, force and Newton’s law of gravitation 7 1.4 Newton’s law of motion 10 1.5 Time derivatives of moving vectors 15 1.6 Relative motion 20 Problems 29 Chapter2 The two-body problem 33 2.1 Introduction 33 2.2 Equations of motion in an inertial …

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