A Semi-Empirical Model for Galaxy Rotation Curves

Key Points

• The aim is to develop a model that accurately describes galaxy rotation curves using minimal parameters.
• Developed a mathematical model using two parameters: maximum velocity (Vmax) and scale radius (Rs).
• Fitted the model to observed galaxy rotation data to assess accuracy.
• Analyzed the relationship between Vmax and Rs to uncover scaling.
• Calculated error rates to evaluate model performance.
• The model fits observed galaxy rotation data with less than 5% error.
• A power-law relation was established between Vmax and Rs: Vmax ∝ Rs^0.45.
• The findings indicate a fundamental scaling relationship between a galaxy's size and its rotational velocity.

Abstract