Engineering topics
Publications and source records attributed to Eanes, Richard J..
The center of mass of the Earth, about which a satellite orbits, is determined by the mass distribution of the solid Earth, the oceans, and the atmosphere.
In analogy to the geographical representation of the zeroth-order radial orbit perturbations due to the static geopotential, similar relationships have been derived for radial orbit perturbations due to the ocean tides. At each location these perturbations are seen to be coherent with the tide height variations. The study of this singularity is of obvious importance to the estimation of ocean tides from satellite altimeter data. We derive analytical expressions for the sensitivity of altimeter derived ocean tide models to the ocean tide force model induced errors in the orbits of the altimeter satellite. In particular, we focus on characterizing and quantifying the nonresonant tidal orbit perturbations, which cannot be adjusted into the empirical accelerations or radial perturbation adjustments commonly used during orbit determination and in altimeter data processing. As an illustration of the utility of this technique, we study the differences between a TOPEX/POSEIDON-derived ocean tide model and the Cartwright and Ray 1991 Geosat model. This analysis shows that nearly 60% of the variance of this difference for M(sub 2) can be explained by the Geosat radial orbit eror due to the omission of coefficients from the GEM-T2 background ocean tide model. For O(sub 1), K(sub 1), S(sub 2), and K(sub 2) the orbital effects account for approximately 10 to 40% of the variances of these differences. The utility of this technique to assessment of the ocean tide induced errors in the TOPEX/POSEIDON-derived tide models is also discussed.
Since the beginning of regular space geodetic measurements, Satellite Laser Ranging (SLR) has routinely provided polar motion and length of day solutions. At the present time, Global Positioning Systems (GPS) regularly produces daily polar motion solutions with 0.4 mas accuracy, equivalent to the routine 1-day VLBI experiments and SLR solutions using 3 days of Lageos-1 data. This rapid progress of the GPS technique forces a review of any resource allocations for VLBI and SLR measurements of Earth orientation.
Variations in universal time and polar motion due to ocean tides at nearly diurnal and nearly semidiurnal frequencies are determined from analysis of laser ranging to the LAGEOS satellite over the period from 1987 to 1992. The adjusted diurnal tides were K(sub 1), S(sub 1), P(sub 1), O(sub 1), and Q(sub 1), while the semidiurnal tides were K(sub 2), S(sub 2), M(sub 2), and N(sub 2). A formulation was used that explicitly separated prograde and retrograde terms in the polar motion in order to eliminate aliasing from the singularity of retrograde wobble with long period orbit error and nutation. The results are compared to other experimentally derived observations from very long baseline interferometry (VLBI) and with predictions from an ocean tide model. The results of this study were well with those from the VLBI studies, typically at the 2-3 microsecond level in universal time and 30-50 microarc sec (muas) level in polar motion. The agreement with predictions from the ocean tide model were roughly a factor of 3 worse for UT although better for polar motion, particularly in the diurnal band.
The phase lag by which the earth's body tide follows the tidal potential is estimated for the principal lunar semidiurnal tide M(sub 2). The estimate results from combining recent tidal solutions from satellite tracking data and from Topex/Poseidon satellite altimeter data. Each data type is sensitive to the body-tide lag: gravitationally for the tracking data, geometrically for the altimetry. Allowance is made for the lunar atmospheric tide. For the tidal potential Love number kappa(sub 2) we obtain a lag epsilon of 0.20 deg +/- 0.05 deg, implying an effective body-tide Q of 280 and body-tide energy dissipation of 110 +/- 25 gigawatts.