Skip to main content Accessibility help
×
×
Home
  • Print publication year: 2018
  • Online publication date: September 2018

6 - Equations of Motion in the PPN Formalism

Summary

We derive the equations of motion for a variety of physical systems in the PPN formalism, including photons, fluid systems, and N-body systems consisting of well-separated self-gravitating objects. We also specialize to two-body systems and describe the framework for calculating perturbations of Keplerian orbit elements induced by post-Newtonian corrections in the equations of motion. For a class of theories based on an invariant action, we obtain the Lagrangian that describes the dynamics of an N-body system. We derive the locally-measured, or effective gravitational constant, as measured by a Cavendish experiment, within the PPN formalism. For spinning bodies, we obtain the equations of motion and the equations of spin precession.

Recommend this book

Email your librarian or administrator to recommend adding this book to your organisation's collection.

Theory and Experiment in Gravitational Physics
  • Online ISBN: 9781316338612
  • Book DOI: https://doi.org/10.1017/9781316338612
Please enter your name
Please enter a valid email address
Who would you like to send this to *
×