The research of the exactness of GPS

Pawel Maksym

Lodz, Poland

 Nowadays, when we want to get to know what the geographic position of our house, company etc. is, we only need to take in our hands a GPS and we will get our position. We know how important it is for the observers of occultations.
 The standard receiver shows us with what exactness it works. Usually it is signified by the abbreviations “acc” or “EPE”, for example 3.4 means that the position is given with the exactness of 3.4 metres.
 However, we do not know if it is true! Perhaps the exactness is different – smaller or larger. That is why the Department of Positions and Occultations (DPO) of Polish Association of Amateur Astronomers has decided to examine what the exactness of the measurements depends on and if the results are true. To make such an “investigation” we need certain tools, from the right program, through the equipment, to the information of the GPS system and the way it works. For this type of research, we will have to choose the right statistic method. Its choice depends on how much material and of what type of quality we will have to do with. Nowadays, three GPS receivers, connected to the computer 24 hours per day, take part in the project. The computer records the working of the device.
 After the right decoding of data, we will be able to calculate what the real exactness of the measurement has been. Naturally, to confront all the measurements with the geodesic measurements, all the data will be calculated into the rectangular positions.
 The project is also meant to check the working of many models of GPS to find which are the most useful for the observers of occultations. The right program supplied by lieutenant J.C. Kazyc from the NATO Navigation Centre allows the simultaneous register of working of a GPS and of what it shows. Next, the specially written for this purpose program for the Mac computers sorts and analyses statistically the observations material. The further job is done by a human. It is the interpretation of the results.
 The initial results are relatively interesting because they indicate the general tendency of receivers. The conclusions presented below come from the analysis of 2983 hours of the material from the receivers Garmin 12, 12 CX and e-map De-lux.
The most frequent exactness shown on the display has been 5,1 metres. After the analysis, we come to conclusion that the most frequent exactness should be 4,8. After the accurate grouping of the material, it appears that 83,7 % of measurements show distortion between 0.3 and 0.4 m and this border is rather unlikely to lessen. It means that GPS should show 0.3 – 0.4 better exactness of almost 84 % of measurements.
As an interesting fact, it is worth mentioning that 61 times GPS receivers have shown on the display the exactness 3.0 whereas they should have shown approximately 2.8.
 After more than two months of measurements, we can exclude the hypothesis that the exactness depends on the generation of the GPS satellite, which was suspected at the beginning. It was as if some satellites had been working more efficiently but till today there have not been enough materials to confirm it. We must admit that civil GPS receivers are very precise devices, which show initial results of Polish measurements.
 The next stages of the project will be: further collecting of the measurements results and their analysis, comparing them to the geodesic measurements (x,y) and trying to mathematically describe the devices behaviour.
 I will be informing about the further results through the DPO Materials  and my own web site www.astromax.prv.pl.
 I am planning to finish the work and to sum it up at the end of October 2003.
 
 

I would like to thank:
M. Tivoli Ph.D. from Garmin Int. company
W. Kalinowski Ph.D. from University of Lodz
Lieutenant J.C. Kazyc
M. Borkowski M.A., director of Planetarium and Observatory of Lodz
Kamila Glinkowska from PAAA

and all those who have got involved in the project, especially members of DPO
 
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