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Mxsmanic wrote:
peter writes: This indicates a basic lack of understanding of GPS technology. It reveals exactly the opposite. That's how GPS determines position. No, your statement before was that it required measurement of angles and "triangulation" whereas the actual procedure does not measure any angles at all and is closer to "trilateration" or determining the distances to the satellites at known positions The GPS receiver never deals with measurement of any angles nor with triangulation. What is measured are the precise times of arrival of the signals from the satellites. Surprising though it may be, those "precise times of arrival" are the sides of a triangle. Not sure what you mean by times being equal to sides (the units don't match for one thing), but again, no angles are measured by the GPS receiver. Since the satellites encode the signals with timing information from their sychronized atomic clocks and also send detailed orbital data to define their own positions, the receiver is able to determine the relative distances to the various satellites based on the speed of light/radio and the observed relative signal delays. Using this distance information together with the known positions of the satellites then allows for a determination of the position of the receiver. Note that this never involves a measurement of any angles. Actually it does. The arrival times define spheres in 3D space around the satellites (the geoid can also be used as a reference sphere). The geoid is not a sphere but rather a complex empirically determined surface that closely approximates MSL on the earth (i.e. it is certainly not anything like a sphere around the satellites as you state above). It is not used by the GPS in the initial position determination but may later be used in converting the calculated height above the WGS-84 ellipsoid to an equivalent height above MSL. The intersections of these spheres effectively isolate the position of the receiver. It's just a fancy version of good old triangulation, and it works very well. I agree it works well, but it doesn't involve measuring angles and is therefore not "triangulation." I suggest you read the GPS tutorial at Trimble's website. Unfortunately, however, it is optimized for lateral positioning, not vertical positioning. No, the somewhat better horizontal vs. vertical accuracy is an inherent consequence of not being able to receive signals from satellites that are below us (and therefore blocked by the earth). That's not a deliberate engineering optimization decision but just the way things are. To achieve the same vertical accuracy as lateral accuracy, a much higher measurement precision is required. No again. As the accuracy of GPS continues to improve, both the horizontal and vertical accuracy gets better, but horizontal will always be somewhat better so we won't achieve "the same vertical accuracy." However, we can continue to improve both accuracies so that they are good enough for most applications. It is true that altitude measurements are generally somewhat less accurate than horizontal position measurements due to the basic geometry of receiving satellite signals from only the satellites that are above you. More than "somewhat" less accurate: they are usually unusable, certainly for aviation. The FAA doesn't seem to think so since Garmin recently indicated that 600 GPS LPV approaches have been approved by the FAA providing for certified GPS with WAAS to be used down to 200' (same as Cat 1 ILS). See http://gps.faa.gov/programs/waasnews.htm My long-term evaluation of GPS altitude accuracy has shown that I get values within 35' of accurately surveyed altitudes at least 95% of the time ever since Selective Availability was turned off. How were you able to accurately survey your altitude in the air? I do my surveying on terra firma, but it is frequently also reasonably high "in the air" i.e. on top of mountains. (Neither a GPS nor a barometric altimeter cares if the 10000' below is occupied by a mountain or by empty air.) So from a technical standpoint GPS altitudes these days are pretty good although some care should be taken to check the actual satellite geometry and reception at the time of any critical measurements. It's hard to do that in the air. Really? I find it very easy to do since the GPS receiver itself indicates the satellite geometry and reception conditions. However, there are good reasons why barometric measurements are used instead for aviation to ensure consistency and uniform procedures. The main reason is that it's more accurate. You might want to check what instruments are used by surveyors to get accurate altitudes. E.g. the altitude of Mt. Everest was revised fairly recently based on use of GPS. A barometric altimeter would have been useless for that task. GPS altitude data is so poor and so variable that I've given up using it even on the ground. It's almost never anywhere near surveyed altitudes, and it drifts all over the place. Indeed, you can watch it change as you stand still on the ground, and that's with SA turned off. I definitely would not want to depend on that in the air. Either your receiver is broken or you are using it incorrectly. (The lack of knowledge about the fundamentals and ability to check on satellite geometry suggests the latter possibility.). Of course locations with poor GPS reception due to obstructions are far more likely to be found on the ground than in the air. |
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peter writes:
No, your statement before was that it required measurement of angles and "triangulation" whereas the actual procedure does not measure any angles at all and is closer to "trilateration" or determining the distances to the satellites at known positions It does indeed measure angles, rest assured. Of course, it does a lot more than that. Not sure what you mean by times being equal to sides (the units don't match for one thing) ... Then let's just leave it at that. This is not a sandbox, and I don't have time to play. -- Transpose mxsmanic and gmail to reach me by e-mail. |
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"Mxsmanic" wrote in message
... It does indeed measure angles, rest assured. Of course, it does a lot more than that. It is complex. But it's not triangulation. If it were, you would only need two well-placed satellites to fix a position. You need three satellites to fix a 2-D position and four to fix a 3-D. ------------------------------- Travis Lake N3094P PWK |
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Travis Marlatte wrote:
"Mxsmanic" wrote in message ... It does indeed measure angles, rest assured. Of course, it does a lot more than that. It is complex. But it's not triangulation. "GPS receivers use triangulation of the GPS satellites' navigational signals to determine their location." http://msl.jpl.nasa.gov/Programs/gps.html A GPSr does not measure angles, it measures timing and ranging, as in "NAVSTAR" (NAVigation Signal Timing And Ranging). "In addition to knowing the distance to a satellite, a receiver needs to know the satellite's exact position in space; this is known as its ephemeris. Each satellite's signal transmits ephemeris information about its exact orbital location. The GPS receiver uses this information to precisely establish the position of the satellite." http://www.lerc.nasa.gov/WWW/MAEL/ag/gps.htm ----- - gpsman |
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"gpsman" wrote in message
ups.com... Travis Marlatte wrote: "Mxsmanic" wrote in message ... It does indeed measure angles, rest assured. Of course, it does a lot more than that. It is complex. But it's not triangulation. "GPS receivers use triangulation of the GPS satellites' navigational signals to determine their location." http://msl.jpl.nasa.gov/Programs/gps.html A GPSr does not measure angles, it measures timing and ranging, as in "NAVSTAR" (NAVigation Signal Timing And Ranging). "In addition to knowing the distance to a satellite, a receiver needs to know the satellite's exact position in space; this is known as its ephemeris. Each satellite's signal transmits ephemeris information about its exact orbital location. The GPS receiver uses this information to precisely establish the position of the satellite." http://www.lerc.nasa.gov/WWW/MAEL/ag/gps.htm ----- - gpsman I had to look up the definition of triangulation. I did not realize that it included range finding as a technique. I stand corrected. GPS receivers don't measure angles. ------------------------------- Travis Lake N3094P PWK |
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