Galactic Dynamics Calculator

Update (QWILL √3 law): After extensive testing, the integral-based model collapses to a remarkably simple law: VQWILL(r) = √3 · Vbary(r). Rotation curves are computed with a single control — the stellar mass-to-light ratio Υ*. All plots and metrics on this page use the SPARC database. The detailed QWILL paper on galactic dynamics is in development.

In short

“Rotating galaxies are more massive than stationary ones.” In WILL/QWILL this is expressed by VQWILL = √3 · Vbary.

What this page is & how to use it

  • Data: rotation curves from the SPARC catalog (radius Rad, observed speed Vobs, baryonic components Vgas, Vdisk, Vbul).
  • QWILL law: VQWILL = √3 · Vbary, where Vbary² = Vgas² + Υ* · (Vdisk² + Vbul²).
  • Controls: pick a galaxy; adjust Υ* with the slider. Left plot: Observed vs QWILL. Right plot: gas/disk/bulge contributions.
  • Quality: per-galaxy RMSE is shown below. The button builds the RMSE distribution by type and shows the median for the selected groups.

Filter by Hubble Type:

Loading SPARC Database...