oy Re TENT Gash fmuRoneteetntase i ate Nes iG ee al = aeSn es SsNS «. ie‘ (ie saAnet yeh ea E ASTRODYNAMICS Volume 2 Digitized by the Internet Archive in 2022 with funding from Kahle/Austin Foundation httos://archive.org/details/astrodynamicsOO00Oherr ASTRODYNAMICS Orbit Correction, Perturbation Theory, Integration Volume 2 SAMUEL HERRICK University of California Los Angeles VAN NOSTRAND REINHOLD COMPANY LONDON NEW YORK CINCINNATI TORONTO MELBOURNE VAN NOSTRAND REINHOLD COMPANY Windsor House, 46 Victoria Street, London, S.W.1 INTERNATIONAL OFFICES New York Cincinnati Toronto Melbourne COPYRIGHT NOTICE Copyright © 1972 SAMUEL HERRICK 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, without the prior permission of the copyright owner. Library of Congress Catalog Card No. 78-125199 ISBN 0 442 03371 0 First published in 1972 Printed in Great Britain by C. Tinling & Co. Ltd, London and Prescot Filmset by Keyspools Ltd, Golborne, Lancs. LIBRARY University of Texas At San Antonio To my son Henry. 1941-65, my wife and I dedicate also this volume. His hard-won final achievement, of thoroughness, perseverance, and the clarity of vision that gave him courage for self-sacrifice in Viet Nam, has given us the courage of forthrightness in this work. May he so inspire all who read it. Acknowledgements Volume I has stated my indebtedness for both volumes and has pointed out that much of it is acknowledged at appropriate places in the text. To the general acknowledgements I have only to add the National Geographic Society. This body has recently given generous support to my work on minor planets, some of which is repeated in Volume 2.