DeepCurves in space

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §12.4 Polar Coordinates and Planetary Motion, #27 · Multivariable Calculus · Curves in space

The point …, … travels around an ellipse centered at … and…

The point $x = a cos 2 π t / T$ , $y = b sin 2 π t / T$ travels around an ellipse centered at $(0, 0)$ and returns at time $T$ . By symmetry it sweeps out area at the same rate at both ends of the major axis. Why does this break Kepler's second law?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §12.4 Polar Coordinates and Planetary Motion, #27

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