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
2 - General Calculational Scheme
Published online by Cambridge University Press: aN Invalid Date NaN
- 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 impact of a wide range of post-Keplerian perturbing accelerations, of whatever physical origin, on different types of observation-related quantities (Keplerian orbital elements, anomalistic, draconitic, and sidereal orbital periods, two-body range and range rate, radial velocity curve and radial velocity semiamplitude of spectroscopic binaries, astrometric angles RA and dec., times of arrival of binary pulsars, characteristic timescales of transiting exoplanets along with their sky-projected spin-orbit angle) is analytically calculated with standard perturbative techniques in a unified and consistent framework. Both instantaneous and averaged orbital shifts are worked out to the first and second order in the perturbing acceleration. Also, mixed effects, due to the simultaneous action of at least two perturbing accelerations, are treated.
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- General Post-Newtonian Orbital EffectsFrom Earth's Satellites to the Galactic Centre, pp. 15 - 53Publisher: Cambridge University PressPrint publication year: 2024