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A theory that describes how matter interacts dynamically with the geometry of space and time. It was first published by Einstein in 1915 and is currently used to study the structure and evolution of the universe, as well as having practical applications like GPS.

-3 votes
1 answer
1k views

GPS Working Principle [closed]

Hand-held GPS units in modern phones identify your location by (A) transmitting their location and time to GPS satellites. (B) receiving location data of GPS satellites. … (C) receiving time data from GPS satellites. (D) exchanging location and time data with GPS satellites. I think correct answer is (D), but the key says correct answer is (C). …
user25431's user avatar
79 votes
5 answers
88k views

Why does GPS depend on relativity?

I am reading A Brief History of Time by Stephen Hawking, and in it he mentions that without compensating for relativity, GPS devices would be out by miles. Why is this? …
Thomas O's user avatar
  • 3,227
6 votes
1 answer
2k views

How are GPS corrected for special/general relativity?

I was looking for the equations that are used by the GPS receiver to calculate its position and time correction (bias). … Hopefully this is not a duplicate of "Why GPS depends on relativity". I understand the why. …
mhmhsh's user avatar
  • 93
9 votes
4 answers
12k views

That 10km/day error predicted if GPS satellite clocks not corrected for relativity

to run 38us/day slower than GPS time before launch aka 'the factory offset), the position indicated by an earthbound GPS user device would drift by about 11km/day. … That multiplying the 38us/day uncorrected difference from GPS time by the speed of light yields 11.6km/day, does not for me seem to relate to GPS receiver function. I'd be very glad for any pointers. …
surd100's user avatar
  • 141
35 votes
2 answers
5k views

Why isn't the GPS location calculated from the Schwarzschild metric?

ADDENDUM: I found really good papers discussing in depth all the relativistic details and effects to GPS(-like) navigation in spacetime. They are Thomas B. … Bahder's Navigation in Curved Space-Time, Clock Synchronization and Navigation in the Vicinity of the Earth and Relativity of GPS Measurement. …
label's user avatar
  • 535
1 vote
1 answer
152 views

In what way has GPS had an impact on our understanding of physics?

I've been reading about the effects GPS has had on our society with the February launch of a IIF Satellite and I was wondering if launching GPS satellites and the actual GPS satellites have lead to any …
AntiGreyMatter's user avatar
1 vote
1 answer
393 views

How does the GPS time signal achieve an accuracy of <= 40ns relative to UTC?

From the official GPS website: How accurate is GPS for timing? GPS time transfer is a common method for synchronizing clocks and networks to Coordinated Universal Time (UTC). … Naval Observatory (USNO) via the GPS signal in space with a time transfer accuracy relative to UTC(USNO) of ≤40 nanoseconds (billionths of a second), 95% of the time. …
balu's user avatar
  • 121
9 votes
4 answers
1k views

Why do GPS satellites care about Earth clock at all? (relativity)

Many online resources make grandiose claims about how GPS would be useless without relativistic corrections. … (Other related questions: Why does GPS depend on relativity? …
obadz's user avatar
  • 200
5 votes
1 answer
138 views

Why is not the $g$-field of the sun considered in the GPS-settings?

8\space m$ (ten times greater than the orbital height of today's GPS devices). … Is the obtained value for $g$-potential of the sun small enough that can be neglected as the GPS error? …
Mohammad Javanshiry's user avatar
2 votes
2 answers
248 views

Can a GPS system detect the decline in the rotational velocity of the Earth?

GPS Systems GPS satellites have atomic clocks on board to keep accurate time. … GPS, e.g.? …
user avatar
7 votes
0 answers
299 views

I don't see that general relativity is really needed for GPS to work correctly [duplicate]

From what I understand, GPS localization is based on the difference in the reception time from the time of emission of a signal from different GPS satellites whose positions are known. … However, for GPS to work, we don't need to measure time difference with a clock on earth (we don't have a precision clock in our GPS receiver, and I don't think we connect to one either), only time differences …
doetoe's user avatar
  • 9,444
1 vote
2 answers
195 views

Time dilation in general and in particular for two opposite GPS satellites

Does that mean that we have some baseline value for time dilation in relation to the point from Q1 (if it is valid) Q3: Clock on GPS satellite is slower than on Earth, the clock on Earth is slower than … At the particular time, we have two GPS satellites in opposite locations on the orbit with speed VGPS and on the orbit plane, which is parallel to the direction of Earth movement. …
Evgeny's user avatar
  • 13
1 vote
1 answer
2k views

GPS Satellite - Special Relativity

I'm going through an old relativity assignment, and I've been asked to calculate the time dilation for a satellite which orbits the earth in 12 hours at 26000km from the surface, and travels at a cons …
Lammey's user avatar
  • 633
2 votes
1 answer
474 views

If relativity is symmetric, do the satellites in the GPS system see the earthbound clocks as...

If relativity is symmetric, do the satellites in the GPS system see the earthbound clocks as running slow due to relativistic time dilation? …
girlphysicsmajor's user avatar
2 votes
3 answers
803 views

How and when are the relativistic corrections applied to GPS satellites?

It is known that there is a need to correct the onboard clocks to reduce the time difference from 38μs to 50ns. Where is relativity playing its role here? Why cant the clocks be simply synchronised wi …
karthikeyan's user avatar
  • 1,169

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