# Approximating the Jacobian Elliptic Functions

Approximating the Jacobian Elliptic Functions

Jacobian elliptic functions are extensions and generalizations of trigonometric sine and cosine functions. Applications in physics abound. For example, the functions and occur in the exact solution of the equations of motion for the plane pendulum [1]. Any approximation procedure to solve the pendulum equations of motion involves approximations to the Jacobian elliptic functions [2]. The approximation also pertains to Seiffert spirals [3], trajectories along the surface of a sphere.

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