This paper studies spacecraft relative-motion control in elliptical orbits, where the relative dynamics exhibit strong periodic time variation and conventional Linear Time-Invariant control is inadequate. The dynamics are reformulated as a Linear Parameter-Varying (LPV) model using true-anomaly-based scheduling parameters. A compact convex poly-tope is then proposed to reduce conservatism and ver-tex count while preserving robustness over the full operating range. Gain-scheduled controllers designed from this LPV model are evaluated for a representative relative transfer scenario. Numerical results demonstrate improved transient tracking performance compared with conventional rectangular convex-hull formulations , highlighting the effectiveness of the proposed reduced-vertex LPV representation for rendezvous and formation-flying missions.