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2 - General Calculational Scheme

Published online by Cambridge University Press:  28 November 2024

Lorenzo Iorio
Affiliation:
Ministero dell’ Istruzione e del Merito, Bari, Italy
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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 Effects
From Earth's Satellites to the Galactic Centre
, pp. 15 - 53
Publisher: Cambridge University Press
Print publication year: 2024

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  • General Calculational Scheme
  • Lorenzo Iorio, Ministero dell’ Istruzione e del Merito, Bari, Italy
  • Book: General Post-Newtonian Orbital Effects
  • Online publication: 28 November 2024
  • Chapter DOI: https://doi.org/10.1017/9781009562911.002
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  • General Calculational Scheme
  • Lorenzo Iorio, Ministero dell’ Istruzione e del Merito, Bari, Italy
  • Book: General Post-Newtonian Orbital Effects
  • Online publication: 28 November 2024
  • Chapter DOI: https://doi.org/10.1017/9781009562911.002
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • General Calculational Scheme
  • Lorenzo Iorio, Ministero dell’ Istruzione e del Merito, Bari, Italy
  • Book: General Post-Newtonian Orbital Effects
  • Online publication: 28 November 2024
  • Chapter DOI: https://doi.org/10.1017/9781009562911.002
Available formats
×