General Post-Newtonian Orbital Effects

From Earth's Satellites to the Galactic Centre

Lorenzo Iorio

• Publisher: Cambridge University Press
• Year: 2024
• eBook ISBN: 9781009562904
• Topic: Physical Sciences
• Subtopic: Cosmology

Orbital motions have always been used to test gravitational theories which, from time to time, have challenged the then-dominant paradigms. This book provides a unified treatment for calculating a wide variety of orbital effects due to general relativity and modified models of gravity, to its first and second post-Newtonian orders, in full generality. It gives explicit results valid for arbitrary orbital configurations and spin axes of the sources, without a priori simplifying assumptions on either the orbital eccentricity or inclination. These general results apply to a range of phenomena, from Earth's artificial satellites to the S-stars orbiting the supermassive black hole in the Galactic Centre to binary and triple pulsars, exoplanets, and interplanetary probes. Readers will become acquainted with working out a variety of orbital effects other than the time-honoured perihelion precession, designing their own space-based tests, performing effective sensitivity analyses, and assessing realistic error budgets.

Table of contents

• Cover
• Half-Title Page
• Endorsement
• Title Page
• Imprints Page
• Dedication
• Contents
• Acknowledgements
• 1 Introduction
• 2 General Calculational Scheme
• 3 1pN Gravitoelectric Effects: Mass Monopole(s)
• 4 2pN Gravitoelectric Effects: Mass Monopoles
• 5 1pN Gravitomagnetic Effects: Spin Dipole(s)
• 6 1pN Gravitomagnetic Effects: Spin Octupole
• 7 Newtonian Effects: Mass Quadrupole(s)
• 8 1pN Gravitoelectric Effects: Mass Quadrupole
• 9 pK Tidal Effects: Distant 3rd Body
• 10 Modified Models of Gravity: Orbital Precessions
• Appendix A List of Acronyms and Abbreviations
• Appendix B Notations and Definitions
• Appendix C pK Disturbing Functions from the Spacetime Metric
• Appendix D Spin-Orbit Orientation and Lorentz-Violating Coefficients
• Appendix E Coefficients of the Lense–Thirring Orbital Shifts
• Appendix F Coefficients of the Newtonian J[sub(2)] Orbital Shifts
• Appendix G Coefficients of the Total Mixed Net Orbital Shifts of the Order of J[sub(2)]/c[sup(2)]
• Appendix H The Coefficients of the Tidal Orbital Precessions
• Appendix I Coefficients of the Power-Law Mass Density Profile Orbital Precessions
• Appendix J Numerical Values of Relevant Astronomical Parameters
• Appendix K Post-Keplerian Orbital Effects: Numerical Values
• Appendix L A Cursory Overview on Some Proposed Spacecraft-Based Missions
• References
• Author Index
• Subject Index