Shapes and Dynamics of Granular Minor Planets The Dynamics of Deform

This book develops a general approach that can be systematically refined to investigate the statics and dynamics of deformable solid bodies. These methods are then employed to small bodies in the Solar System. With several space missions underway and more

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Ishan Sharma

Shapes and Dynamics of Granular Minor Planets The Dynamics of Deformable Bodies Applied to Granular Objects in the Solar System

Advances in Geophysical and Environmental Mechanics and Mathematics Series editors Kolumban Hutter, Zürich, Switzerland Holger Steeb, Stuttgart, Germany

More information about this series at http://www.springer.com/series/7540

Ishan Sharma

Shapes and Dynamics of Granular Minor Planets The Dynamics of Deformable Bodies Applied to Granular Objects in the Solar System

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Ishan Sharma Mechanics and Applied Mathematics Group Department of Mechanical Engineering Indian Institute of Technology Kanpur Kanpur, Uttar Pradesh India

ISSN 1866-8348 ISSN 1866-8356 (electronic) Advances in Geophysical and Environmental Mechanics and Mathematics ISBN 978-3-319-40489-9 ISBN 978-3-319-40490-5 (eBook) DOI 10.1007/978-3-319-40490-5 Library of Congress Control Number: 2016943448 © Springer International Publishing Switzerland 2017 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG Switzerland

This book is dedicated to Indian Astronomy, whose science continues to surprise.

Foreword

This book was born when advances in astronomical techniques permitted, for example, the shapes and spins of asteroids to be determined using radar (see, e.g., Ostro et al. 2002), just as interest in the mechanics and physics of granular materials was being renewed in the mid-1980s. The much-publicized tidal fragmentation of comet Shoemaker–Levy in 1994 as it passed Jupiter stimulated the development of numerical simulations. Asteroids, by their sheer number and variety, provide a natural laboratory in which the translational and rotational motion of deformable solid bodies can be investigated. Relatively high-resolution dynamic imaging made it clear that at least some and, perhaps, many near-Earth asteroids were not monolithic