A Semi-Empirical Model for Galaxy Rotation Curves

This study presents a simple and effective mathematical model to describe galaxy rotation curves. The proposed model uses only two parameters — maximum velocity (Vmax) and scale radius (Rs) — and successfully fits observed galaxy rotation data with low error (<5%).

Additionally, a power-law relation between Vmax and Rs is observed:

Vmax ∝ Rs^0.45

This result suggests a fundamental scaling relationship between galaxy size and rotational velocity.