[AntonioLao]

All successful data downloads of GPS signals must be processed through computer algorithms that took into account both special relativity for satellite’s velocity and general relativity for the differences in the gravitational potential.

These relativistic corrections can be divided into two distinct parts, see Jorgensen, P.S. (1986), “Relativistic correction in GPS user equipment,” Proc. Position location and navigation system 1986 (PLANS), 177-183, Las Vegas, Nevada, 4-7 November 1986, IEEE, New York. The less problematic part is proportional to the eccentricity. But for perfect circular orbits, this is zero. For eccentricity of 0.02, the time differences ∆t can be as large as 45 nanoseconds, corresponding to a measured distance of 15 meters or about 50 feet. However, there is an exact mathematical expression for solving it as a function of the eccentricity, the semi-major axis, the eccentric anomaly, with the gravitational constant of earthbound systems and of course the vacuum speed constant of light. The more problematic relativistic correction cannot be avoided by any satellites. But again fortunately, it is independent of orbital eccentricity. The corresponding relative frequency offset is ∆f/f=-4.4647x10^(-10). This is an increase of 38000 nanoseconds per day. Its measured distance error would be as much as 12700 meters or 41560 feet and indicating that clocks in earth’s orbit run faster. The apparent change in frequency is ∆f=0.0045674 cycle per second at the fundamental frequency of 10.23 megacycles per second. Fortunately, this is easily corrected by adjusting the frequency of the satellite clocks before launching to 10.22999999543 megacycles per second.

A big technical surprise is that while for absolute geocentric point positioning relativistic considerations are necessary to avoid errors in measured distances, for all practical purposes, the relativistic effects cancel out for all relative positioning.

[mkirkpatrick]

Thank goodness our consciousness needs no positioning!



regards michael.

[AntonioLao]

Originally Posted by mkirkpatrick consciousness needs no positioning

That's what I thought before. But now since absolute consciousness is difficult to isolate I go for the ease of relative consciousness freshly repositioned after a good night sleep.

[mkirkpatrick]

Originally Posted by AntonioLao That's what I thought before. But now since absolute consciousness is difficult to isolate I go for the ease of relative consciousness freshly repositioned after a good night sleep.

Ah well,when put like that I agree!




regards michael.

[AntonioLao]

Originally Posted by mkirkpatrick Ah well,when put like that I agree!

You would agree much more after a week without any sleeps not even a minute nap. There was once a person who gone without sleep for a year he died losing all consciousness the year after.

[mkirkpatrick]

Originally Posted by AntonioLao You would agree much more after a week without any sleeps not even a minute nap. There was once a person who gone without sleep for a year he died losing all consciousness the year after.

Was it that serious?



regards michael.

[AntonioLao]

Originally Posted by mkirkpatrick Was it that serious

Seriously never regained consciousness but consciously all the way to a raptured state.

[mkirkpatrick]

Originally Posted by AntonioLao Seriously never regained consciousness but consciously all the way to a raptured state.

I was looking for rapture,but instead got a rupture!



regards michael.

[AntonioLao]

Originally Posted by mkirkpatrick but instead got a rupture

Whatever ruptured can be sutured but whatever raptured cannot be recaptured.

[mkirkpatrick]

Originally Posted by AntonioLao Whatever ruptured can be sutured but whatever raptured cannot be recaptured.

That is the absolute truth told in a relative way?



regards michael.