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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §12.4 Polar Coordinates and Planetary Motion, #31 · Multivariable Calculus · Curves in space

The path of a quark in 30(b) can be written as

The path of a quark in 30(b) can be written as $r^{2} (A + B cos 2 θ) = 1$ . Show that this is the same as the ellipse $(A + B) x^{2} + (A - B) y^{2} = 1$ with the origin at the center. The nucleus is not at a focus, and the pound note is correct for Newton watching quarks. (Quantum mechanics not accounted for.)

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §12.4 Polar Coordinates and Planetary Motion, #31

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