Revision as of 05:06, 20 October 2016 edit Bender the Bot (talk \| contribs) Bots 1,064,377 edits m http→https for Google Books and Google News using AWB ← Previous edit		Revision as of 21:00, 25 December 2017 edit undo Jasper Deng (talk \| contribs) Edit filter managers, Extended confirmed users, Pending changes reviewers, Rollbackers 54,495 edits →Geometry: this is not an inherent advantage of the curve, this would be true of any curve defined using well-known special functions. Plus, one usually must process raw values of the Fresnel integrals to get real-life coordinates. Next edit →
Line 69: A transition curve can connect a track segment of constant non-zero curvature to another segment with constant curvature that is zero or non-zero of either sign. Successive curves in the same direction are sometimes called progressive curves and successive curves in opposite directions are called reverse curves. The Euler spiral ~~has two advantages. One is that it is easy for surveyors because the coordinates can be looked up in [[Fresnel integral]] tables. The other is that it~~ provides the shortest transition subject to a given limit on the rate of change of the track superelevation (i.e. the twist of the track). However, as has been recognized for a long time, it has undesirable dynamic characteristics due to the large (conceptually infinite) roll acceleration and rate of change of centripetal acceleration at each end. Because of the capabilities of personal computers it is now practical to employ spirals that have dynamics better than those of the Euler spiral. == See also ==

Track transition curve: Difference between revisions