scieee AI-readable full text Open interactive document viewer

Integration of Local Ties to a Global Reference Frame

Eschelbach, Cornelia; Lösler, Michael; Haas, Rüdiger; Hardy, Ryan; Baum, Ittay

Abstract

The Onsala Space Observatory (OSO) in Sweden is one of about 60 co-location stations hosting several permanently installed GNSS antennas and three radio telescopes used for geodetic Very Long Baseline Interferometry (VLBI), as well as a superconducting gravimeter, several tide gauges, and several microwave radiometers. The legacy 20 m radio telescope is used for astrometric and geodetic VLBI since 1979. Co-location stations play an important role during the combination process of the different space geodetic techniques to a global reference frame. Local survey at co-location stations provides the so-called local tie vectors which connect the different reference points of the space geodetic techniques in a common reference frame. In 2022 and 2023 measurements were carried out to determine local ties at OSO. Terrestrial observations from total stations and leveling instruments were combined with GNSS observations. One of the total stations was additionally equipped with the Total Station Astrogeodetic Control System (TSACS) developed by the National Geodetic Survey (NGS) at the National Oceanic and Atmospheric Administration in the United States of America. Based on the topical star catalog, the local azimuth and the deflections of the vertical (DOV) result from horizontal directions and vertical angles gathered from the time-referenced video stream of the instrument's built-in camera. For orienting a local network in the global frame and deriving local tie vectors, at least two different approaches are possible. The commonly used approach integrates GNSS baselines to the spatial network formed by the terrestrial observations. The more intricate approach introduces astrogeodetic observations, namely azimuths and deflections of the vertical, to the spatial network. For this measurement campaign, both approaches are harmonized and their excellent accordance is shown, so that all observations are combined in a common network adjustment without contradiction. Finally, local geoid information confirms the successful synthesis of all observations. This work describes selected measurement aspects and the seamless integration of a local network into a global frame.

Full text

Integration of Local Ties to a Global Reference Frame C. Eschelbach1, M. Lösler1, R. Haas2, R. A. Hardy3, I. Baum3 1 Frankfurt University of Applied Sciences, Laboratory for Industrial Metrology 2 Chalmers University of Technology, Department of Earth and Space Sciences 3 National Oceanic and Atmospheric Administration, National Geodetic Survey IAG Scientific Assembly 2025 | Rimini, Italy | https://doi.org/10.5281/zenodo.17513425 Global Geodetic Reference Frame Combination of all four space-geodetic techniques •Satellite Laser Ranging (SLR) •Global Navigation Satellite System (GNSS) •Doppler Orbitography and Radiopositioning Integrated by Satellite (DORIS) •Very Long Baseline Interferometry (VLBI) Physical connections •Global tie •Atmospheric tie •Clock tie •Space tie •Local tie | Eschelbach et al. | | IAG Scientific Assembly 2025 | Rimini, ItalyIntegration of Local Ties to a Global Reference Frame 2 Local Tie Determination 3D vector between reference points of different space-geodetic techniques I. Network adjustment of highly accurate and reliable terrestrial observations II. Complex determination procedure for immaterial reference points III. GNSS-based transformation of local results to global datum SINEX-Format 3| Eschelbach et al. | | IAG Scientific Assembly 2025 | Rimini, ItalyIntegration of Local Ties to a Global Reference Frame Local Tie Integration Component-wise integration of local ties by separated 𝑋𝑋𝑌𝑌𝑌𝑌 components •Occasionally discrepancies between local and global results •ITRF2020-u2023: component-wise deviations > 5 mm for up to 35 %of local ties •Downweighting (ITRF) or replacing (DTRF) local dispersion information during combination At second glance •Lengths of local tie vectors fit quite well •Misorientation of vectors Options of improvement •Polar representation instead of component-wise integration •More reliable orientation parameters 4| Eschelbach et al. | | IAG Scientific Assembly 2025 | Rimini, ItalyIntegration of Local Ties to a Global Reference Frame Transformation-free Approach Global reference frame ( 𝑋𝑋𝑌𝑌𝑌𝑌 ) Tangential plane frame ( 𝑥𝑥𝑥𝑥𝑥𝑥 ) 𝑥𝑥𝑖𝑖 𝑥𝑥𝑖𝑖 𝑥𝑥𝑖𝑖 = 𝑥𝑥0 𝑥𝑥0 𝑥𝑥0 + −sin 𝜆𝜆0cos 𝜆𝜆00 −sin 𝜙𝜙0cos 𝜆𝜆0−sin 𝜙𝜙0sin 𝜆𝜆0cos 𝜙𝜙0 cos 𝜙𝜙0cos 𝜆𝜆0cos 𝜙𝜙0sin 𝜆𝜆0sin 𝜙𝜙0 𝑋𝑋𝑖𝑖− 𝑋𝑋0 𝑌𝑌 𝑖𝑖− 𝑌𝑌 0 𝑌𝑌𝑖𝑖− 𝑌𝑌0 Local frames for observations ( 𝑢𝑢𝑢𝑢𝑢𝑢 ) Δ𝑢𝑢 Δ𝑢𝑢 Δ𝑢𝑢 =𝐑𝐑s Δ𝑥𝑥 Δ𝑥𝑥 Δ𝑥𝑥 − 0 0 𝑖𝑖𝑖 𝐑𝐑s𝐑𝐑z T 0 0 𝑡𝑡𝑖 5| Eschelbach et al. | | IAG Scientific Assembly 2025 | Rimini, ItalyIntegration of Local Ties to a Global Reference Frame TSACS Total Station Astrogeodetic Control System (TSACS) developed by the National Geodetic Survey (NGS) Main Components •Total station with integrated Camera •EPS32 micro controller (GNSS, pressure, …) •Raspberry Pi for operating and controlling 6| Eschelbach et al. | | IAG Scientific Assembly 2025 | Rimini, ItalyIntegration of Local Ties to a Global Reference Frame TSACS Total Station Astrogeodetic Control System (TSACS) developed by the National Geodetic Survey (NGS) Measurement procedure •Fully automatic selection and observation of 25 evenly distributed stars above the horizon •20 sec. of video stream from coaxial camera per star •Time stamp from GNSS •Synchronised measurement of direction and zenith angle 7| Eschelbach et al. | | IAG Scientific Assembly 2025 | Rimini, ItalyIntegration of Local Ties to a Global Reference Frame Snap shot of observed star in TSACS video TSACS Total Station Astrogeodetic Control System (TSACS) developed by the National Geodetic Survey (NGS) Results from post procession analysis of image coordinates Δ𝑥𝑥 Δ𝑥𝑥 =cos 𝛼𝛼sin 𝛼𝛼1 0 sin 𝛼𝛼sin 𝜀𝜀 − cos 𝛼𝛼sin 𝜀𝜀0 1 𝜉𝜉 𝜂𝜂 𝑥𝑥0 𝑥𝑥0 •Deflection of the vertical 𝜉𝜉, 𝜂𝜂 •Geodetic azimuth 𝛼𝛼 •Typical standard deviation 0,12“ 8| Eschelbach et al. | | IAG Scientific Assembly 2025 | Rimini, ItalyIntegration of Local Ties to a Global Reference Frame Onsala Space Observatory Measurement campaign at Onsala Space Observatory (VLBI and GNSS) in 2022/23 •Terrestrial observations from total station •Height differences from levelling •Baselines/global coordinates from GNSS •Astrogeodetic observations with TSACS on nine net points Validation via gravity model and geoid model 9 Deflection TSACS EGM2008 SWEN17 𝜂𝜂(east-west) 4,52"± 0,48"4,28"4,64" 𝜉𝜉(north-south) 2,34"± 0,35" 3,19"2,82" | Eschelbach et al. | | IAG Scientific Assembly 2025 | Rimini, ItalyIntegration of Local Ties to the Global Reference Frame