General Post-Newtonian Orbital Effects
From Earth's Satellites to the Galactic Centre
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63 262 Ft
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Product details:
- Publisher Cambridge University Press
- Date of Publication 5 December 2024
- ISBN 9781009562874
- Binding Hardback
- No. of pages298 pages
- Size 250x175x22 mm
- Weight 670 g
- Language English 668
Categories
Short description:
Calculates a wealth of different orbital effects induced by Newtonian, post-Newtonian and alternative gravity models, in full generality.
MoreLong description:
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.
'This book provides a wonderful and very detailed guide for those interested in comparing observations with Einstein's theory and the many proposed alternatives. Written in a very readable and accessible manner, it is an indispensable guide to comparing theoretical gravitational predictions with the most recent data coming from celestial observations provided by satellites, space probes, and telescopes. I highly recommend it to anyone interested in a very practical handbook for comparing theory and observations.' Jim Isenberg, Professor Emeritus, University of Oregon
Table of 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; Appendices.
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