Galactic Dynamics Calculator

Predict galactic rotation curves using the WILL model without dark matter. It posits that the observed velocity ($V_{WILL}$) is a combination of the classical gravitational effect of baryons ($V_{classic}$) and a non-local geometric term derived from the cumulative kinetic energy of the system. In short: rotating galaxy's are more massive then the stationary one's. That simple!

The WILL Predictive Model

We test this equation against the SPARC database. Our most rigorous test uses a parameter-free version of the model, where we fixed the stellar mass-to-light ratio to ($\Upsilon_*=0.25$) and the geometric scaling factor to ($\lambda=4$). This allows us to test the raw predictive power of the equation's structure without any fitting. The parameter-free model demonstrates remarkable predictive power without any tuning: Galaxies Analysed: 175 Median RMSE: 23.05 km/s.

$$ V_{WILL}^{2}(r) = \left[ V_{gas}^{2} + \Upsilon_* (V_{disk}^{2} + V_{bulge}^{2}) \right] + \frac{\lambda}{r}\int_{0}^{r}\left[ V_{gas}^{2} + \Upsilon_* (V_{disk}^{2} + V_{bulge}^{2}) \right]dr' $$

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