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The time transformation TDB–TDT: an analytical formula and related problem of convention

Published online by Cambridge University Press:  03 August 2017

L. Fairhead ,
P. Bretagnon  and
J.-F. Lestrade
L. Fairhead
Affiliation:
Bureau des Longitudes, 77 Avenue Denfert-Rochereau, F75014 Paris, France
P. Bretagnon
Affiliation:
Bureau des Longitudes, 77 Avenue Denfert-Rochereau, F75014 Paris, France
J.-F. Lestrade
Affiliation:
Bureau des Longitudes, 77 Avenue Denfert-Rochereau, F75014 Paris, France

Abstract

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An analytical formula for the time transformation TDB–TDT valid over a few thousand years around J2000 has been computed with an accuracy at the 1 ns level. The coefficients for a formula accurate at the 100 ns level are provided here. The numerical and analytical procedures to compute this transformation are discussed. We note that these procedures cannot comply with recommendation 5 of the 1976 IAU meeting. Furthermore, these procedures yield different units for the corresponding TDB time scales. We also note that this transformation is independent of the two PPN parameters γ and β and of the 3 most commonly used coordinate systems (isotropic, standard-Schwarzschild, Painlevé) at least at the 1 ns level.

Type
VII. Other Topics
Information
Symposium - International Astronomical Union , Volume 128: Earth's Rotation and Reference Frames for Geodesy and Geodynamics , 1988 , pp. 419 - 426
Copyright
Copyright © Reidel 1988 

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