The geopotential value W 0 for specifying the relativistic atomic time scale and a global vertical reference system

Astronomy and Astrophysics – Astronomy

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Geopotential, Vertical Datum Unification, Relativistic Atomic Time Scale

Scientific paper

The TOPEX/Poseidon (T/P) satellite alti- meter mission marked a new era in determining the geopotential constant W 0. On the basis of T/P data during 1993 2003 (cycles 11 414), long-term variations in W 0 have been investigated. The rounded value W 0 = 62636856.0 ± 0.5) m 2 s -2 has already been adopted by the International Astronomical Union for the definition of the constant L G = W 0/ c 2 = 6.969290134 × 10-10 (where c is the speed of light), which is required for the realization of the relativistic atomic time scale. The constant L G , based on the above value of W 0, is also included in the 2003 International Earth Rotation and Reference Frames Service conventions. It has also been suggested that W 0 is used to specify a global vertical reference system (GVRS). W 0 ensures the consistency with the International Terrestrial Reference System, i.e. after adopting W 0, along with the geocentric gravitational constant (GM), the Earth’s rotational velocity (ω) and the second zonal geopotential coefficient ( J 2) as primary constants (parameters), then the ellipsoidal parameters ( a,α) can be computed and adopted as derived parameters. The scale of the International Terrestrial Reference Frame 2000 (ITRF2000) has also been specified with the use of W 0 to be consistent with the geocentric coordinate time. As an example of using W 0 for a GVRS realization, the geopotential difference between the adopted W 0 and the geopotential at the Rimouski tide-gauge point, specifying the North American Vertical Datum 1988 (NAVD88), has been estimated.

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