Some improvements of the solid earth tide model.

Statistics – Computation

Scientific paper

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Scientific paper

The solid earth tide model adopted by the International Earth Rotation Service (IERS) Standards (McCarthy ed., 1989) is improved in three ways: (1) Three different nominal Love numbers for long period, diurnal and semi-diurnal tides are introduced instead of one nominal value. (2) In some places the mean radius of the earth is used instead of the equatorial one. (3) In the computation of the frequency dependent Love numbers of the diurnal tides a modification according to the recent improved estimate of the Free Core Nutation (FCN) period is introduced. Simulations and real data analysis have shown that the effect of these improvements is non-negligible. Taking the satellite Starlette as an example, their effect on the orbit is about ±1.5 mm/day in radial direction, ±3 cm/day in cross-track direction and 9 cm/day in along track direction. In the differential orbit correction process of a 7-day Starlette arc an average improvement of the residual rms is 6 mm. The maximum residuum is reduced by 2.3 cm, the effect on the satellite position vector is a few cm (up to 8 cm).

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