# 7. Gravitational Orbits

Published Online: 12 NOV 2010

DOI: 10.1002/9780470972502.ch7

Copyright © 2011 John Wiley & Sons, Ltd

Book Title

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

Additional Information

#### 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

#### Publication History

- Published Online: 12 NOV 2010
- Published Print: 1 OCT 2010

#### ISBN Information

Print ISBN: 9780470715741

Online ISBN: 9780470972502

- Summary
- Chapter

### 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