Global and regional ionosphere models using the GPS double difference phase observable
Global and regional ionosphere models using the GPS double difference phase observable
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发表时间:
1996
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通讯作者:
S. Schaer;G. Beutler;L. Mervart;M. Rothacher;U. Wild
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作者:
S. Schaer;G. Beutler;L. Mervart;M. Rothacher;U. Wild
The CODE Analysis Center of the International GPS Service for Geodynamics (IGS) produces orbits, Earth orientation parameters, station coordinates, and other parameters of geophysical interest on a daily basis using the ionosphere-free linear combination of the double difference phase observables. Consequently, clean (i. e. cycle-slip-free) portions of the L1 and the L2 phases are readily available for every day. The difference L1–L2 in meters contains only differential ionospheric refraction effects and in the ambiguitiy-unresolved case a constant bias due to the initial carrier phase ambiguities in L1 and L2. Here we use exactly this observable to extract ionospheric information from the IGS network. On one hand it is not ideal to use the difference L1–L2 on the double difference level — the differencing reduces the ionospheric signal considerably. On the other hand we have the advantage of a clean signal. Also, processing is simplified because satellite and receiver specific biases cancel out to the greatest extent in our approach. As usual we model the ionospheric Total Electron Content (TEC) with a single-layer model which is based on the corresponding mapping function. As opposed to earlier attempts (local ionosphere models using Taylor series expansions in latitude and sun-fixed longitude) we develop the vertical TEC into a series of spherical harmonics. We may use the geocentric latitude and the sun-fixed longitude or an equivalent set in the solar-geomagnetic system as independent arguments. These models have the advantage — over Taylor series expansions — to be well suited for regional and for global models. First results using one week of regional (European) and global data (entire IGS network) from the CODE Analysis Center seem to indicate that under normal ionospheric conditions the ionosphere models are very useful for single-frequency GPS users, i. e. ionospheric refraction effects are greatly reduced if these TEC models are taken into account. Center for Orbit Determination in Europe Paper presented at the 1995 IGS Workshop, Potsdam, Germany, May 15–17, 1995 INTRODUCTION Ionospheric refraction was considered as an important aspect within the GPS group of the Astronomical Institute of the University of Berne (AIUB) for a long time. In the time period when usually only single-band (L1) receivers were available it was important to get insight into the biases introduced in a GPS network by unmodeled ionospheric refraction (Beutler et al., 1988). Later on, it became obvious that short period variations in ionospheric refraction could harm GPS analyses even if dual-band receivers were available (Beutler et al., 1989). In the latter paper there were also clues that valuable information about the ionosphere could be extracted from dual-band GPS data. Modeling and monitoring the ionosphere was the main topic of the Ph.D. thesis (Wild, 1994). In this thesis it could be shown that local ionosphere models like those presented by (Georgiadiou and Kleusberg, 1988) are very efficient to remove — or greatly reduce — the scale bias for single-band receivers operating in the vicinity of dual-band receivers, the data of which were used to establish a local ionosphere model. (Wild, 1994) computed such local ionosphere models for a number of IGS sites over an extended time period. He also describes a procedure to assess the stochastic behaviour of the ionosphere in the vicinity of a GPS station. The principal conclusion was that essential information concerning the ionosphere might be extracted from the IGS network. Local ionosphere models have proved their usefulness on many occasions. However, the concept of having as many ionosphere models as stations in a network like that of the IGS is hardly operational. The modeling techniques used by (Wild, 1994) had to be modified in one important respect before it became possible to replace N local models by one regional or global model based on the data of N stations. Let us briefly review the modeling features as used by (Wild, 1994) and as used below. Wild uses the so-called single-layer model where it is assumed that all free electrons are concentrated in a shell of infinitesimal thickness. This thin shell is located in a height H above a spherical Earth. The height H of this idealized layer is usually set to 350 or 400 kilometers, which corresponds approximately to the peak height of the electron density profile in the F-region of the ionosphere. The electron density E — the surface density of the layer — is assumed to be a function of the geocentric latitude β and the sun-fixed longitude s