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The Impact of the Static Part of the Earth's Gravity Field on Some Tests of General Relativity with Satellite Laser Ranging
Authors:Lorenzo Iorio
Institution:(1) Dipartimento di Fisica, Università di Bari, via Amendola 173, I-70126 Bari, Italy, e-mail
Abstract:In this paper we calculate explicitly the classical secular precessions of the node OHgr and the perigee ohgr of an Earth artificial satellite induced by the even zonal harmonics of the static part of the geopotential up to degree l = 20. Subsequently, their systematic errors induced by the mismodelling in the even zonal spherical harmonics coefficients J l are compared to the general relativistic secular gravitomagnetic and gravitoelectric precessions of the node and the perigee of the existing laser-ranged geodetic satellites and of the proposed LARES. The impact of the future terrestrial gravity models from CHAMP and GRACE missions is discussed as well. Preliminary estimates with the recently released EIGEN-1S gravity model including the first CHAMP data are presented.
Keywords:node  perigee  general relativity  Earth gravity models
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