Past exam of the mathematics course of the University of Cambridge 2021 iii Paper 316 3 vi Solution 2026-09-28
For a fixed , release points from through the current generate a syndyne. The newest grain is still at the comet, whereas earlier grains have had longer to separate. The right panel of the figure shows the resulting family. The curve consists of particles following the tangent lines inherited at their respective release points. Residual gravity bends the syndyne starward and shortens its displacement; net repulsion bends the syndyne anti-stellar and lengthens it.