4. Two-Body Dynamics

  1. Martin W. McCall

Published Online: 12 NOV 2010

DOI: 10.1002/9780470972502.ch4

Classical Mechanics: From Newton to Einstein: A Modern Introduction, Second Edition

Classical Mechanics: From Newton to Einstein: A Modern Introduction, Second Edition

How to Cite

McCall, M. W. (2010) Two-Body Dynamics, in Classical Mechanics: From Newton to Einstein: A Modern Introduction, Second Edition, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9780470972502.ch4

Author Information

  1. Imperial College London, UK

Publication History

  1. Published Online: 12 NOV 2010
  2. Published Print: 1 OCT 2010

ISBN Information

Print ISBN: 9780470715741

Online ISBN: 9780470972502

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Keywords:

  • two-body dynamics;
  • ‘collective’ behaviour of two bodies - two masses connected by a fairly rigid spring;
  • two-body dynamics, motion dividing - into centre-of-mass motion and ‘internal’ motion due to forces;
  • internal motion - of spring-connected dumb-bell;
  • one-dimensional collision between two particles - line connecting particles, not changing direction;
  • two bodies approaching before a collision;
  • elastic collisions;
  • rocket motion, person–rifle–trolley part of system - force on bullet, exerting equal and opposite force on rifle;
  • launch vehicles - gravity, crucial for a rocket to escape from the Earth;
  • two identical masses scattering - viewed from the lab frame

Summary

This chapter contains sections titled:

  • Rationale

  • Centre of Mass

  • Internal Motion: Reduced Mass

  • Collisions

  • Elastic Collisions

  • Inelastic Collisions

  • Centre-of-mass Frame

  • Rocket Motion

  • Launch Vehicles

  • Summary

  • Problems