Constant Bearing Decreasing Range
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Constant bearing, decreasing range (CBDR) is a term in
navigation Navigation is a field of study that focuses on the process of monitoring and controlling the movement of a craft or vehicle from one place to another.Bowditch, 2003:799. The field of navigation includes four general categories: land navigation, ...
which means that some object, usually another
ship A ship is a large watercraft that travels the world's oceans and other sufficiently deep waterways, carrying cargo or passengers, or in support of specialized missions, such as defense, research, and fishing. Ships are generally distinguished ...
viewed from the deck or bridge of one's own ship, is getting closer but maintaining the same absolute bearing. If this continues, the objects will collide.


Risk

Sailors, especially deck hands and those who stand watch on the
bridge A bridge is a structure built to span a physical obstacle (such as a body of water, valley, road, or rail) without blocking the way underneath. It is constructed for the purpose of providing passage over the obstacle, which is usually somethi ...
, are trained to watch for this situation and make it known when they detect it happening. The reasoning is subtle: non-sailors who are used to driving automobiles normally are able to detect the possible risk of a collision with implicit reference to the background (e.g., the street, the scenery, the landscape, etc.) At sea, when vessels are borne in water, the sea surface removes this vital visual clue. Unaware individuals tend to gauge the risk of two vessels colliding based on which direction each vessel is heading. In other words, a novice will think that two vessels which appear to be heading apart from each other cannot collide. This is false, as when a faster vessel is overtaking a slower one, they can in fact have a collision even though the vessels are on substantially different headings. On a river, CBDR is less useful, as it is likely that both the observed and the observing vessel will follow curving courses along the waterway, whether or not they are on a collision course. In such situations safe navigation depends on upstream and downstream traffic keeping to separate sectors of the navigable channel.


Visual clues

When a non-moving background (typically the shore line) is present, CBDR situations can but not always be recognized by the fact that some part of the moving target vessel is not visually moving against the background. On the other hand, if the target vessel visually moves forward against the background, with relative bearing decreasing, then the target vessel will pass in front of the observing vessel and there is no risk of collision, provided both vessels maintain constant speed and course. Similarly, if the target vessel visually moves backwards against the background, with relative bearing increasing, the target vessel will pass behind the observing vessel. However, this method of recognizing non-CBDR conditions is only true for relatively small observing vessels. With larger vessels, only an observer positioned near the bow can reliably make the first conclusion, whereas the second conclusion can only be left to an observer positioned near the stern.


Relative bearing

Another source of confusion arises from the distinction between '' relative bearing'' and ''
absolute bearing In navigation, bearing or azimuth is the horizontal angle between the direction of an object and north or another object. The angle value can be specified in various angular units, such as degrees, mils, or grad. More specifically: * Absol ...
''. One might think that another vessel which seems to be progressing from, perhaps, dead ahead to apparent movement down one's starboard side cannot result in a collision. This is not quite true. Because a vessel afloat can change its true heading (relative to north) without obvious detection (unless there are landmarks in sight) two vessels may collide even if one presents a substantially changing relative bearing.


Road safety

The phenomenon also presents itself in
road safety Road traffic safety refers to the methods and measures used to prevent road users from being killed or seriously injured. Typical road users include pedestrians, cyclists, motorists, vehicle passengers, horse riders, and passengers of on-roa ...
. At the crossing of two straight roads, a CBDR condition may occur and keep one vehicle in the other's blind spot. Even without blind spots, the lack of optic flow makes for harder spotting.


See also

* Motion camouflage *
Proportional navigation For example, if the line of sight rotates slowly from north to east, the missile should turn to the right by a certain factor faster than the LOS-rate. This factor is ''N''. Proportional navigation (also known as PN or Pro-Nav) is a guidance law ...


References

{{reflist Nautical terminology Navigation