Lesson 2 of 6 · Navigation and timing
A clock signal becomes a position
8 minute lesson · 3 checks along the way
Your goal for this lessonExplain satellite ranging, receiver clock error and the difference between a position fix and a map.
In this lesson 4 sections · 3 checks
Using archive links & definitions
Words with a dotted underline open a short definition right here in the lesson.
Read & understand
Listen to known transmitters
Satellite navigation systems broadcast signals containing timing and orbit-related information. A receiver compares the received signals to estimate ranges to known satellite positions, then solves for its own state. GPS is one such system; Galileo, GLONASS and BeiDou are other global systems. Their signals and services are not identical simply because they share a broad purpose.
A normal navigation receiver can estimate its position by listening. The positioning calculation does not require it to transmit its location to the navigation satellites. A phone application may separately send information over a network, but that is a distinct function from receiving navigation signals.
Check 1 of 3
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Read & understand
The receiver clock is part of the unknown
A small timing error becomes a large apparent range error because radio signals travel so fast. Ordinary receivers do not carry a perfectly synchronized satellite-quality clock. A standard three-dimensional solution therefore estimates three position coordinates and receiver clock offset, typically requiring observations from at least four suitably placed satellites.
The measurements are called pseudoranges because clock and propagation effects contribute to the apparent distance. Satellite geometry, atmospheric delays, reflected signals and local obstructions affect the solution. More visible satellites can help, but count alone does not establish a particular accuracy.
Read & understand
Work a timing scale
Using the rounded speed of 300 million meters per second, one microsecond corresponds to 300 meters of signal travel. A 0.1-microsecond error corresponds to 30 meters. This calculation shows why timing matters; it is not a prediction that every receiver’s final position error equals one raw range error.
The position solution combines several measurements and corrections with their geometry. A receiver under an obstructed view can perform differently from one in an open field. GPS.gov’s accuracy explanation distinguishes the transmitted service from what a particular user actually obtains.
Tiny time errors imply large range differences
Original teaching diagram. Rounded signal speed · not a final position-error model. TIMING DIFFERENCE. 0.1 microsecond. = 0.0000001 second. SIGNAL-TRAVEL DISTANCE. 300,000,000 m/s ×. 0.0000001 s = 30 m. A position solution combines several ranges, clock estimates, geometry and corrections.
Open full-size diagram in a new tab: Tiny time errors imply large range differencesCheck 2 of 3
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Read & understand
Position, timing and directions are separate products
A navigation fix estimates location and time. A road route also needs a map, restrictions and routing software. A correct position can be drawn on an outdated map. Conversely, a beautiful map cannot repair a poor position estimate. The complete application combines several evidence sources.
Satellite timing also supports synchronization in communications and other infrastructure. Those uses depend on receivers, distribution and backup design, not only orbiting clocks. Evaluate the service at the point where a user or system relies on it, and retain the stated uncertainty.
Check 3 of 3
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Put it together
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