Abstract

Modernized navigation messages of global navigation satellite systems like GPS CNAV include earth rotation parameters (ERPs), namely the pole coordinates and UT1-UTC (∆UT1) as well as their rates. Broadcast ERPs are primarily needed for space-borne GNSS applications that require transformations between earth-fixed and inertial reference frames like navigation in earth orbit as well as to the moon. Based on a global tracking network of 23 stations, broadcast ERP values are obtained for the global systems GPS and BeiDou as well as the regional QZSS and IRNSS. Subsequent data sets at daily intervals show polar motion discontinuities of 0.4 to 0.7 mas for GPS, QZSS, and IRNSS, whereas BDS is worse by a factor of about two. Discontinuities in ∆UT1 range from 0.17 to 0.45 ms. External comparison with the C04 series of the International Earth Rotation and Reference Systems Service results in polar motion RMS differences of 0.3 to 1.0 mas and ∆UT1 differences of about 0.13 ms for GPS, QZSS, and IRNSS. Due to less frequent update intervals, BDS performs worse by a factor of 2 – 4. In view of the current GNSS-based positioning errors at geostationary or even lunar distances, the accuracy of GPS, QZSS, and IRNSS broadcast ERPs is sufficient to support autonomous spacecraft navigation without the need for external data.

Highlights

  • The navigation messages of Global Navigation Satellite Systems (GNSSs) provide essential information such as satellite orbit and clock parameters needed for GNSS-based positioning

  • Page 9 of 12 50 motion is at a similar level as Global Positioning System (GPS) and ∆Universal Time 1 (UT1) is worse by a factor of more than two

  • They reach a maximum of 10 mas for xp and ± 1.2 ms for ∆UT1 and are caused by missing updates of the Indian Regional Navigation Satellite System (IRNSS) broadcast earth rotation parameters (ERPs) model during that time period indicated by zero polar motion misclosures and ∆UT1 misclosures smaller than ± 10 μs

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Summary

Introduction

The navigation messages of Global Navigation Satellite Systems (GNSSs) provide essential information such as satellite orbit and clock parameters needed for GNSS-based positioning. The ERPs are part of the full set of earth orientation parameters (EOPs) which, in addition, include precession and nutation angles or celestial pole coordinates, and describe the overall transformation between the earth-centered earth-fixed (ECEF) and the earth-centered inertial (ECI) reference frame (Torge and Müller 2012; Capitaine 1986). The ERPs are included in the GNSS navigation message as nutation and precession can be described by analytical models with sufficient accuracy over long time scales. Only these parameters will be considered in the following. All currently available broadcast navigation messages are confined to polar motion and ∆UT1 data and do not provide additional parameters for the full ECEF/ECI transformation

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Conclusions
Findings
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