 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2021/ii/paper-2/38c/b/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

The Killing coordinates

t

and

θ

give

E = \frac{t ˙}{r ^{2}}, J = r^{2} \dot{θ} .

Together with the norm

ε = 2 L

, these are the three constants of motion.

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