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Astral navigation, no matter what instrument was used, involves measuring angles of the sun or stars with respect to a reference line.

For seafarers, the astrolabe -- specifically, the mariner's astrolabe -- is an ancient tool for navigating by the sun or stars. Unlike the common astrolable, the mariner's version was designed to be used somewhat more easily on rough seas or high winds. It was not particularly accurate, but it served the purpose.

The simple quadrant operated on a different and somewhat more advanced principle than the astrolabe. The name referred to the device's ability to measure up to 90 degrees, a quarter of a circle. It used a plumb line (a weighted string or wire) as the vertical reference and measured the altitude of the celestial body with respect to the line.

The sextant was designed to measure the angle between the sun or a star and an external reference such as the horizon. It was far more accurate than measuring the angle between the body and the instrument itself, which is how the astrolabe and the quadrant worked. The name refers to the scale's length being 1/6th of a circle. The octant is a variation of the sextant with a scale that is 1/8th of a circle.

All of them assume that the navigator has a deep knowledge of the astronomical references such as sun's position or the locations of specific stars at every day of the year, or has a detailed book of tables. The A competent navigator can determine latitude easily, and with an accurate clock can also determine longitude.

Although GPS has largely replaced the sextant as a necessary instrument, the sextant is still widely used for nautical navigation, if only by sea-loving diehards and purists, or as backups if the batteries in the Garmin die. They have become quite complex, but they still use ancient principles.

For the sextant user, the US Naval Observatory issues "The Nautical Almanac" that gives all the data needed for accurate navigation by the sun or stars.

Wikipedia has a series of articles on the various devices. Google the names and look for the Wiki pages.

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