Definition
A long-range radio navigation system that determines an aircraft's position by measuring the difference in time it takes for synchronized radio signals from two or more ground stations to reach the receiver. Each constant time difference traces out a hyperbolic line of position on the Earth's surface; the intersection of two such hyperbolic lines fixes the aircraft's location. LORAN, Decca, and Omega are examples of hyperbolic navigation systems.
Plain English
A navigation system that locates an aircraft by comparing how much sooner one ground station's radio signal arrives than another's. The set of points where that time gap stays the same forms a curved line, and crossing two such lines gives the aircraft's position.
Context Anchor
Seen in discussions of older long-range radio navigation systems used before satellite navigation became common.
Derivation
From hyperbola, the geometric curve formed by all points where the difference in distance to two fixed points is constant. Because a constant time difference between two radio signals corresponds to a constant distance difference, the resulting lines of position are hyperbolas — which is where the system gets its name.
Why Pilots Care
Understanding how these systems work explains the strengths and limits of older long-range navigation aids still referenced in training material and helps put modern satellite navigation into historical context.
Analogy
It is like hearing two bells from known locations and noticing that one sound reaches you before the other. That time difference tells you you are somewhere along a certain curved path, not at one single point yet.
Intuition Check
Hyperbolic does not mean exaggerated here. It refers to the hyperbola-shaped lines used to work out position from signal differences.
Example Sentence 1
Before GPS became standard, transoceanic flights often relied on a hyperbolic navigation system such as LORAN to determine position.
Example Sentence 2
Before satellite systems, pilots used hyperbolic navigation systems such as LORAN for accurate tracking over long distances without visual references.