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1 results

  • 7 - Newtonian Effects: Mass Quadrupole(s)

  • Lorenzo Iorio, Ministero dell’ Istruzione e del Merito, Bari, Italy
  • Book:
    General Post-Newtonian Orbital Effects
    Published online:
    28 November 2024
    Print publication:
    05 December 2024, pp 123-145

  • Summary

    The impact of the Newtonian quadrupolar acceleration, generalized also to the case of two bodies of comparable amsses and quadrpole moments, is calculated for is calculated for 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 and their sky-projected spin-orbit angle). The results are applied to a test particle orbiting a primary, a Sun-Jupiter exoplanet system, and to a S star in Sgr A*.