Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgments
- 1 Introduction
- 2 The Einstein Equivalence Principle
- 3 Gravitation as a Geometric Phenomenon
- 4 The Parametrized Post-Newtonian Formalism
- 5 Metric Theories of Gravity and Their Post-Newtonian Limits
- 6 Equations of Motion in the PPN Formalism
- 7 The Classical Tests
- 8 Tests of the Strong Equivalence Principle
- 9 Other Tests of Post-Newtonian Gravity
- 10 Structure and Motion of Compact Objects
- 11 Gravitational Radiation
- 12 Strong-Field and Dynamical Tests of Relativistic Gravity
- References
- Index
6 - Equations of Motion in the PPN Formalism
Published online by Cambridge University Press: 07 September 2018
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgments
- 1 Introduction
- 2 The Einstein Equivalence Principle
- 3 Gravitation as a Geometric Phenomenon
- 4 The Parametrized Post-Newtonian Formalism
- 5 Metric Theories of Gravity and Their Post-Newtonian Limits
- 6 Equations of Motion in the PPN Formalism
- 7 The Classical Tests
- 8 Tests of the Strong Equivalence Principle
- 9 Other Tests of Post-Newtonian Gravity
- 10 Structure and Motion of Compact Objects
- 11 Gravitational Radiation
- 12 Strong-Field and Dynamical Tests of Relativistic Gravity
- References
- Index
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.
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- Information
- Theory and Experiment in Gravitational Physics , pp. 129 - 155Publisher: Cambridge University PressPrint publication year: 2018