© 2017

Shapes and Dynamics of Granular Minor Planets

The Dynamics of Deformable Bodies Applied to Granular Objects in the Solar System


Table of contents

  1. Front Matter
    Pages i-xx
  2. Toolbox

    1. Front Matter
      Pages 1-2
    2. Ishan Sharma
      Pages 3-13
    3. Ishan Sharma
      Pages 15-49
    4. Ishan Sharma
      Pages 51-71
  3. Equilibrium

    1. Front Matter
      Pages 73-74
    2. Ishan Sharma
      Pages 75-93
    3. Ishan Sharma
      Pages 95-127
    4. Ishan Sharma
      Pages 129-160
  4. Stability

    1. Front Matter
      Pages 161-162
    2. Ishan Sharma
      Pages 163-177
    3. Ishan Sharma
      Pages 179-206
    4. Ishan Sharma
      Pages 207-236
    5. Ishan Sharma
      Pages 237-281
  5. Dynamics

    1. Front Matter
      Pages 283-284
    2. Ishan Sharma
      Pages 285-306
    3. Ishan Sharma
      Pages 307-335
  6. Back Matter
    Pages 337-354

About this book


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 being planned, interest in our immediate neighbourhood is growing. In this spirit, this book investigates various phenomena encountered in planetary science, including disruptions during planetary fly-bys, equilibrium shapes and stability of small rubble bodies, and spin-driven shape changes.

The flexible procedure proposed here will help readers gain valuable insights into the mechanics of solar system bodies, while at the same time complementing numerical investigations. The technique itself is built upon the virial method successfully employed by Chandrasekhar (1969) to study the equilibrium shapes of spinning fluid objects. However, here Chandrasekhar’s approach is modified in order to study more complex dynamical situations and include objects of different rheologies, e.g., granular aggregates, or “rubble piles”. The book is largely self-contained, though some basic familiarity with continuum mechanics will be beneficial.


Deformable Bodies Dynamics Granular Aggregates Planetary Science Small Bodies

Authors and affiliations

  1. 1.Mechanics and Applied Mathematics Group, Department of Mechanical EngineeringIndian Institute of Technology KanpurKanpurIndia

Bibliographic information