7. Gravitational Orbits

  1. Martin W. McCall

Published Online: 12 NOV 2010

DOI: 10.1002/9780470972502.ch7

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) Gravitational Orbits, in Classical Mechanics: From Newton to Einstein: A Modern Introduction, Second Edition, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9780470972502.ch7

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:

  • gravitational orbits;
  • Newton's second law, applied in three dimensions - to body of constant mass;
  • torque and angular momentum - torque equalling rate of change of angular momentum;
  • position-dependent forces, and source point - force acting radially outwards or inwards, as central forces;
  • gravitational orbits - motion of a planet under the sun's gravitational influence;
  • work–energy theorem and energy conservation;
  • radial kinetic energy, or energy due to motion - in radial direction only;
  • pseudo-potential, seen by radial motion - psuedo-potential experienced by the Earth due to the Sun's gravitational influence;
  • Kepler's three empirical laws - closed gravitational orbits with historical significance;
  • third law, quite interesting - how orbits scale in space and time

Summary

This chapter contains sections titled:

  • Introduction

  • Work in Three Dimensions

  • Torque and Angular Momentum

  • Central Forces

  • Gravitational Orbits

  • Kepler's Laws

  • Comments

  • Summary

  • Problems