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According to general relativity, the presence of gravitating bodies (like Earth) curves spacetime, which makes comparing clocks not as straightforward as in special relativity. However, one can often account for most of the discrepancy by the introduction of gravitational time dilation , the slowing down of time near gravitating bodies.
The Global Positioning System (GPS), originally Navstar GPS, [2] is a satellite-based radio navigation system owned by the United States Space Force and operated by Mission Delta 31. [ 3 ] [ 4 ] It is one of the global navigation satellite systems (GNSS) that provide geolocation and time information to a GPS receiver anywhere on or near the ...
The Shapiro time delay effect, or gravitational time delay effect, is one of the four classic Solar System tests of general relativity. Radar signals passing near a massive object take slightly longer to travel to a target and longer to return than they would if the mass of the object were not present.
In physics, the special theory of relativity, or special relativity for short, is a scientific theory of the relationship between space and time. In Albert Einstein 's 1905 paper, On the Electrodynamics of Moving Bodies , the theory is presented as being based on just two postulates : [ p 1 ] [ 1 ] [ 2 ]
Special relativity also predicts that two light rays traveling in opposite directions around a spinning closed path (e.g. a loop) require different flight times to come back to the moving emitter/receiver (this is a consequence of the independence of the speed of light from the velocity of the source, see above).
CERN surveyors used GPS to measure the source location. On the detector side, the OPERA team worked with a geodesy group from the Sapienza University of Rome to locate the detector's center with GPS and standard map-making techniques. To link the surface GPS location to the coordinates of the underground detector, traffic had to be partially ...
Navigational signals from GPS satellites orbiting at 20 000 km altitude are perceived blueshifted by approximately 0.5 ppb or 5 × 10 −10, [10] corresponding to a (negligible) increase of less than 1 Hz in the frequency of a 1.5 GHz GPS radio signal (however, the accompanying gravitational time dilation affecting the atomic clock in the ...
The time it takes light to traverse back-and-forth along the Lorentz–contracted length of the longitudinal arm is given by: = + = / + / + = / = where T 1 is the travel time in direction of motion, T 2 in the opposite direction, v is the velocity component with respect to the luminiferous aether, c is the speed of light, and L L the length of the longitudinal interferometer arm.