Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2021/iii/paper-316/1/v/solution

For some orbital phase of the moon to permit an impact, the comet's planetocentric hyperbolic Kepler orbit must at least cross the moon's circular orbit. At the limiting case is the comet's periapsis, so the radial velocity in part (iv) vanishes. Consequently
This is gravitational focusing by the planet; an actual collision additionally requires the moon to occupy the crossing point at the right time.

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