Definition
A class of radio navigation systems in which an aircraft's position is determined by measuring the time difference between signals received from two or more synchronized ground transmitters. Each constant time difference traces a hyperbola-shaped line on the Earth's surface, and the intersection of two such lines from different transmitter pairs gives the aircraft's location. Loran-C and the older Decca and Omega systems are examples of hyperbolic navigation.
Plain English
A way of finding where an aircraft is by comparing how long it takes radio signals from two ground stations to arrive. The difference in arrival times places the aircraft on a curved line, and combining two such lines from different station pairs pinpoints the position.
Context Anchor
Seen in discussions of older long-range radio navigation systems and in avionics maintenance descriptions.
Derivation
Hyperbolic comes from the Greek 'hyperbole', meaning 'a throwing beyond' or 'excess', the same root used in mathematics for the hyperbola curve. The name fits because each line of constant time-difference between two transmitters forms a hyperbola on the Earth's surface.
Why Pilots Care
Provides accurate long-range positioning independent of visual references or satellite signals, historically important for over-water and remote area flights.
Analogy
Imagine hearing two bells from two fixed towers and comparing which sound reaches you first. Many places could have that same time difference, and those places form a curved line on a map. Hyperbolic navigation uses a similar idea with radio signals.
Intuition Check
Hyperbolic navigation does not mean the aircraft flies a curved path. It means the system uses curved lines of possible position to locate the aircraft.
Example Sentence 1
Loran-C used hyperbolic navigation, with the receiver computing position from the time differences between signals from a master and two secondary ground stations.
Example Sentence 2
Maintenance technicians checked the hyperbolic navigation receiver for proper synchronization with the ground stations.