## Parabola & Hyperbolic, Hyperbolic navigation system

Parabola

Set of all points in a plane which are equal distance away from a given point and given line.

Point – focus

Line – directrix

Hyperbola

Set of points in a plane which having constant difference in distance from two fixed points.

Fixed points – foci.

Line joining two foci – base line

Base line extended either side of the foci – base line extension

Equidistant line from two foci – center line

Hyperbolic navigation system

Loran-c works on a hyperbolic navigation system.

Hyperbola overprinted on the navigation chart.

So that a position line can be plotted on the chart.

By measuring the time difference between arrivals of two pulse signals from two sources give a position line.

The intersection point of these position lines is the ship position.