synonymEccentricity(A mathematical quantity used to describe the track shape of a conic curve) generally refers to eccentricity
Eccentricity(eccentricity), also calledEccentricity, the unified definition isConic curveMiddle, the distance from the moving point to the focus and the distance from the moving point toGuide lineThe distance ratio of.
Chinese name
Eccentricity
Foreign name
eccentricity
Alias
Eccentricity、Eccentricity
Definition
In conic curve, the ratio of the distance from the moving point to the focus and the distance from the moving point to the guide line
A measure of the flatness of an ellipse. Eccentricity is defined as the ratio of the distance between two focal points of an ellipse and the length of its major axis.
Eccentricity=(ra rp)/(ra+rp), ra refers toFar pointDistance, rp meansProximal pointDistance.
practical application
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Eccentricity of circle=0
Eccentricity of ellipse: e=c/a ∈ (0,1), the closer e is to 0, the rounder the ellipse is, the rounder e equals 0, the more e is to 1, the flatter the ellipse is, and e equals 1, the line segment orparabola。(c,Half focal length;a,Long semi axis (ellipse)/real semi axis(hyperbola) )