Question

A class of functions named for these geometric objects motivates the nome function, which is parameterized by a “modulus” of these objects denoted “k.” A group of twelve functions denoted with pairs of the four letters “c,” “s,” “n,” or “d” are named for these objects and Jacobi. An integral named for these objects is used to derive the exact solution of a (*) pendulum. Simple harmonic motion draws these shapes in position–velocity phase space. These shapes have eccentricity that is both positive and less than one. The coefficient “four pi-squared over big G M” relates the cube of period to the square of a feature of these shapes, the semi-major axis. For 10 points, name the shape of orbits described by Kepler’s laws. ■END■ (10[1])

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