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

2002/03/31 by Lorenzo Iorio · 7 citations
Biochemistry, Genetics and Molecular Biology · Earth and Planetary Sciences · Physics and Astronomy · #Geomagnetism and Paleomagnetism Studies #Geophysics and Gravity Measurements #Solar and Space Plasma Dynamics #astro-ph #gr-qc #physics.geo-ph #physics.space-ph

paper · pdf · doi:10.1023/a:1024223200686

published as Celest.Mech.Dyn.Astron. 86 (2003) 277-294 · LaTex2e, 18 pages, 5 tables. Preliminary estimates of the error in the Lense-Thirring measurement due to geopotential according to EIGEN-1S model added. To appear in Celestial Mechanics and Dynamical Astronomy

arxiv created 2002/10/24 · openalex publication_date 2003/07/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

In this paper we calculate explicitly the secular classical precessions of the node Ωand the perigee ωof an Earth artificial satellite induced by the static, even zonal harmonics of the geopotential up to degree l=20. Subsequently, their systematic errors induced by the mismodelling in the even zonal geopotential 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.

Citations

• Reassessment of the error modelling of non-gravitational perturbations on LAGEOS II and their impact in the Lense–Thirring determination. Part I
• LAGEOS-type satellites in critical supplementary orbit configuration and the Lense–Thirring effect detection
• Reassessment of the error modelling of non-gravitational perturbations on LAGEOS II and their impact in the Lense–Thirring derivation—Part II

Cited by

• The Impact of the New Earth Gravity Models on the Measurement of the Lense–Thirring Effect
• On the impossibility of using certain existing spacecraft for the measurement of the Lense-Thirring effect in the terrestrial gravitational field
• On the possibility of measuring the solar oblateness and some relativistic effects from planetary ranging
• Is it possible to measure the Lense-Thirring effect on the orbits of the planets in the gravitational field of the Sun?
• An Assessment of the Systematic Uncertainty in Present and Future Tests of the Lense-Thirring Effect with Satellite Laser Ranging
• Satellite orbital precessions caused by the first odd zonal J3 multipole of a non-spherical body arbitrarily oriented in space
• Satellite Orbital Precessions Caused by the Octupolar Mass Moment of a Non-Spherical Body Arbitrarily Oriented in Space