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Journal ArticleDOI

The Impact of the Static Part of the Earth's Gravity Field on Some Tests of General Relativity with Satellite Laser Ranging

Lorenzo Iorio
- 01 Jul 2003 - 
- Vol. 86, Iss: 3, pp 277-294
TLDR
In this paper, the classical secular precessions of the node Ω and the perigee ω of an Earth artificial satellite induced by the even zonal harmonics of the static part of the geopotential up to degree l = 20.
Abstract
In this paper we calculate explicitly the classical secular precessions of the node Ω and the perigee ω 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 Jl 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.

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Citations
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Journal ArticleDOI

Phenomenology of the Lense-Thirring effect in the solar system

TL;DR: In this paper, the authors review the performed or proposed attempts to detect the Lense-thirring effect affecting the orbital motions of natural and artificial bodies in the gravitational fields of the Sun, Earth, Mars and Jupiter.
Journal ArticleDOI

Phenomenology of the Lense-Thirring effect in the Solar System

TL;DR: In this article, the authors review the performed or proposed attempts to detect the Lense-thirring effect affecting the orbital motions of natural and artificial bodies in the gravitational fields of the Sun, Earth, Mars and Jupiter.
Journal ArticleDOI

History of the attempts to measure orbital frame-dragging with artificial satellites

TL;DR: An annotated guide to navigate the intricate history of the attempts to measure the Lense-Thirring orbital precessions with artificial satellites is offered to the reader in this article.
Journal ArticleDOI

On the possibility of measuring the solar oblateness and some relativistic effects from planetary ranging

TL;DR: In this paper, the post-Newtonian gravitoelectric secular rate of the mean anomaly of a test particle freely orbiting a spherically symmetric central mass is calculated.
Journal ArticleDOI

Is it possible to measure the Lense-Thirring effect on the orbits of the planets in the gravitational field of the Sun?

TL;DR: In this article, a linear combination of the orbital residuals of the nodes of Mercury, Venus and Mars is proposed to measure the post-Newtonian 1/c 2 Lense-Thirring secular effect induced by the gravitomagnetic field of the Sun on planetary orbital motion.
References
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Book

Theory of satellite geodesy

TL;DR: The theory of satellite geodesy writer by Why as discussed by the authors is a best seller book on the planet with excellent value and content is integrated with fascinating words and can be read online or download this book by right here.

The Development of the Joint NASA GSFC and the National Imagery and Mapping Agency (NIMA) Geopotential Model EGM96

TL;DR: The Earth Gravitational Model 1996 (EGM96) as discussed by the authors was developed by the NASA Goddard Space Flight Center (GSFC), the National Imagery and Mapping Agency (NIMA), and The Ohio State University (OSU) to develop an improved spherical harmonic model of the Earth's gravitational potential.
Book

Gravitation and Inertia

TL;DR: Einstein Geometrodynamics and Inertia: The Initial-Value Problem in Einstein Geometroynamics as mentioned in this paper and the Gravitomagnetic Field and its Measurement.
Journal ArticleDOI

On the gravitational effects of rotating masses: The Thirring-Lense papers

TL;DR: In this article, a critical analysis of the classical papers of H. Thirring and J. Lense on rotating masses in the relativistic theory of gravitation is presented.
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