Projected Distance
448.2 ft
Apex Height
112.4 ft
MLB Clearance
30 / 30 HRs
| Interactive Vector Drag Enabled
Spray Angle:
⚙️ Launch & Environmental Aerodynamics Parameters
Real-time Magnus & Drag solver1. Exit Vector & Spin
112.5 MPH
29.0°
2200 RPM
2. Atmospheric Conditions & Wind
+5.0 MPH (Out)
78°F
30 ft
📐 View Aerodynamic Physics Equations & Solver Mechanics ▼ Expand
Drag Force ($F_d$): $F_d = \frac{1}{2} \rho v^2 A C_d$, where air density ($\rho$) is computed dynamically from air temperature, relative humidity, and stadium elevation.
Magnus Lift Force ($F_l$): $F_l = \frac{1}{2} \rho v^2 A C_l$, where spin parameter $S = \frac{r \omega}{v}$ determines lift coefficient $C_l \approx 0.3 \cdot S^{0.7}$.
Trajectory trajectories are calculated using continuous numerical Euler-Chromer integration over time steps of $\Delta t = 0.005\text{s}$.