Abbe error, named after Ernst Abbe, also called 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.

Formula:

\epsilon = h \sin \theta

External links

• http://www.newport.com/servicesupport/Tutorials/default.aspx?id=143
• http://www.aerotech.com/products/engref/strait.html

it:Errore di Abbe pl:Postulat Abbego