Book contents
- Frontmatter
- 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 J2 Orbital Shifts
- Appendix G Coefficients of the Total Mixed Net Orbital Shifts of the Order of J2/c2
- 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
10 - Modified Models of Gravity: Orbital Precessions
Published online by Cambridge University Press: aN Invalid Date NaN
Book contents
- Frontmatter
- 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 J2 Orbital Shifts
- Appendix G Coefficients of the Total Mixed Net Orbital Shifts of the Order of J2/c2
- 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
Summary
The precessions of the Keplerian orbital elements induced by several modified models of gravity are calculated. The latter ones are Yukawa, power-law, logarithmic, dark matter density profiles (exponential and power-law), once per revolution accelerations, constant accelerations, and Lorentz-violating symmetry.
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- General Post-Newtonian Orbital EffectsFrom Earth's Satellites to the Galactic Centre, pp. 165 - 176Publisher: Cambridge University PressPrint publication year: 2024