Abstract

The Satellite Laser Ranging (SLR) technique provides very accurate distance measurements to artificial Earth satellites. SLR is employed for the realization of the origin and the scale of the terrestrial reference frame. Despite the high precision, SLR observations can be affected by various systematic errors. So far, range biases were used to account for systematic measurement errors and mismodeling effects in SLR. Range biases are constant for all elevation angles and independent of the measured distance to a satellite. Recently, intensity-dependent biases for single-photon SLR detectors and offsets of barometer readings and meteorological devices were reported for some SLR stations. In this paper, we study the possibility of the direct estimation of tropospheric biases from SLR observations to LAGEOS satellites. We discuss the correlations between the station heights, range biases, tropospheric biases, and their impact on the repeatability of station coordinates, geocenter motion, and the global scale of the reference frame. We found that the solution with the estimation of tropospheric biases provides more stable station coordinates than the solution with the estimation of range biases. From the common estimation of range and tropospheric biases, we found that most of the systematic effects at SLR stations are better absorbed by elevation-dependent tropospheric biases than range biases which overestimate the total bias effect. The estimation of tropospheric biases changes the SLR-derived global scale by 0.3 mm and the geocenter coordinates by 1 mm for the Z component, causing thus an offset in the realization of the reference frame origin. Estimation of range biases introduces an offset in some SLR-derived low-degree spherical harmonics of the Earth’s gravity field. Therefore, considering elevation-dependent tropospheric and intensity biases is essential for deriving high-accuracy geodetic parameters.

Highlights

  • Satellite Laser Ranging (SLR) is a space geodetic technique indispensable for deriving geocenter coordinates, Earth oblateness, standard gravitational constant parameter (GM), the scale of the terrestrial reference frame, validating general relativity effects, determining and validating satellite orbits, and many other applications (Pearlman et al 2019a)

  • Each sigma value is normalized by the degree of freedom; the sigma value increases when adding a parameter that does not change anything in the solution

  • One has to bear in mind that two parameters per station are added in the range bias parameter (RGB) solution, whereas, in the tropospheric correction (TRP) solution, one parameter per 7-day solution is estimated

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Summary

Introduction

Satellite Laser Ranging (SLR) is a space geodetic technique indispensable for deriving geocenter coordinates, Earth oblateness, standard gravitational constant parameter (GM), the scale of the terrestrial reference frame, validating general relativity effects, determining and validating satellite orbits, and many other applications (Pearlman et al 2019a). SLR solutions are still affected by a bunch of systematic errors emerging from limitations in background models or imperfect calibration and meteorological measurements, all of which may bias the final solution and geodetic parameters. The scientific discussion about handling systematic errors and biases in SLR is ongoing for over 35 years. Pearlman et al (1984) proposed to divide the source of systematic errors into the following groups: ranging appliance errors, group cluster calibration as well as synchronization issues, hardware limitations, timing errors (station event timers), and modeling errors (Exertier et al 2019). Sośnica (VLBI) and SLR in the International Terrestrial Reference Frame (ITRF) 2014 at the level of 7–8 mm could be caused by range biases in SLR (Appleby et al 2016) as well as by antenna gravity deformation in VLBI (Sarti et al 2009)

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