Abstract
SummaryWe explore one aspect of a multivariable calculus project: parametrizing an elliptical path for an airplane that travels at constant speed. We find that parametrizing a constant speed elliptical path is significantly more complicated than a circular path and involves taking the inverse of the elliptic integral of the second kind. We compare our constant-speed parametrization to the standard ellipse parametrization (x(t) = a cos wt, y(t) = b sin wt) and generalize to parametrizing other constant-speed curves.
Published Version
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