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'''Abbe error''', named after [[Ernst Abbe]], also called '''[[Abbe sine condition|sine error]]''', describes the magnification of angular error over distance. For example, when one measures a point that is 1 meter away at 45 degrees, an angular error of 1 degree corresponds to a positional error of over 1.745 cm, equivalent to a distance-measurement error of 1.745%.


In machine design, some components are particularly sensitive to angular errors. For example, if the shaft of a [[lathe]] is angled slightly, the part will have errors in diameter far down the part.


Abbe error can be detrimental to [[dead reckoning]].
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Formula:
: <math>\epsilon = h \sin \theta</math>
 
As Abbe [[errors]] those deviations are referred to in the [[length]] [[measurement]], resulting from the fact that the axis of the [[reference]] length and the movement axis do not coincide and the relative movement of the measurement object to Antastsensor with guide deviations such as Pitch or yaw [[angle]] errors is [[afflicted]].
 
The [[Nanometer]], the [[vacuum]] - [[interference]] [[comparator]] for precision measurements of length divisions, has in vacuum measured angular [[interferometer]] to determine the remaining [[leadership]] deviations of the air bearing precision [[air bearing]] slide, on the stored [[metrics]] and below each at a measuring [[bridge]] fixedly mounted scanning system ([[microscope]] or scanning ) are moved away.<ref>{{cite web |url=http://www.technewss.com/2013/12/determination-of-abbe-errors-and-their.html |title=Research news determination of Abbe errors and their correction|work= Technewss blog|accessdate=2013-12-24}}</ref>
 
==References==
{{reflist}}
 
== External links ==
*{{cite web|title=Motion Control Coordinate System|url=http://www.newport.com/servicesupport/Tutorials/default.aspx?id=143|work=Newport}}
 
[[Category:Error]]
[[Category:Trigonometry]]
 
 
{{engineering-stub}}

Latest revision as of 01:05, 16 November 2014


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