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Tidal parameters from the variation of inclination of GEOS-1 and GEOS-2

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Abstract

Analysis of the luni-solar tidal perturbations of the inclination of GEOS-1 (1965-89A,i=59°) and GEOS-2 (1968-002A,i=106°.) has yielded the valuesk 2=0.22 (σ=0.02) and 0.31 (σ=0.01) respectively for the apparent second degree Love number. For GEOS-1 a new purely numerical method involvingosculating elements was employed. For GEOS-2 it was necessary to analyze the variations of themean elements because of the very long period (450 days) of the dominant solar tidal perturbation. An additional analysis of the variation of the mean elements of GEOS-1 confirmed the value ofk 2 obtained from the osculating elements. The disparate values indicate that the simple 2nd degree zonal harmonic model of the tidal potential employed by ourselves and all other investigators is accommodating other effects in addition to those caused by the solid Earth tides. A recent paper by Lambecket al. (1973) indicates that ocean tide effects have significant perturbations on satellite orbits and cannot be neglected.

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Douglas, B.C., Klosko, S.M., Marsh, J.G. et al. Tidal parameters from the variation of inclination of GEOS-1 and GEOS-2. Celestial Mechanics 10, 165–178 (1974). https://doi.org/10.1007/BF01227616

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