Eccentric Angle

The eccentric angle of a point on an ellipse with semimajor axes of length a and semiminor axes of length b is the angle t in the parametrization

x = acost

(1)

y = bsint,

(2)

i.e., for a point (x,y),

[画像: t=tan^(-1)((ay)/(bx)). ]

(3)

See also

Eccentricity, Ellipse

Portions of this entry contributed by David Gau

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Cite this as:

Gau, David and Weisstein, Eric W. "Eccentric Angle." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/EccentricAngle.html

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