Relative bearing

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In nautical navigation the relative bearing of an object is the clockwise angle in degrees from the heading of the vessel to a straight line drawn from the observation station on the vessel to the object.

The relative bearing is measured with a pelorus or other optical and electronic aids to navigation such as a periscope, sonar system, and radar systems. Since World War II, relative bearings of such diverse point sources have been and are calibrated carefully to one another. The United States Navy operates a special range off Puerto Rico and another on the west coast to perform such systems integration. Relative bearings then serve as the baseline data for converting relative directional data into true bearings (N-S-E-W, relative to the Earth's true geography). By contrast, compass bearings have a varying error factor at differing locations about the globe, and are less reliable than the compensated or true bearings.

The measurement of relative bearings of fixed landmarks and other navigation aids is useful for the navigator because this information can be used on the nautical chart together with simple geometrical techniques to aid in determining the position of the vessel and/or its speed, course, etc.

The measurement of relative bearings of other vessels and objects in movement is useful to the navigator in avoiding the danger of collision.

Triangulation can be used to calculate the coordinates and distance from the shore to the ship. The observer at A measures the angle α between the shore and the ship, and the observer at B does likewise for β . With the length l or the coordinates of A and B known, then the law of sines can be applied to find the coordinates of the ship at C and the distance d.
  • Example: The navigator on a ship observes a lighthouse when its relative bearing is 45º and again when it is 90º. Using the Pythagorean theorem, he now knows that the distance from the ship to the lighthouse is equal to the distance traveled by the vessel between both observations.

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