 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/ii/paper-2/33b/d/solution

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

On that leading orbit, averaging the divergence gives

σ = μ [1 - (3 a + 1) r^{2} /2] + O (μ^{2}) = - μ + O (μ^{2}) < 0

, so the cycle is stable.

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