### 1. Penalty curve

As in reality, the maneuvers and sail changes times are variable in Virtual Regatta, depending on the force of the wind and the boat used.

On this page , we find the different maneuvering times for each boat as well as the following curve :

On global way, the maneuver time $T_m$ is equal to :

• the minimum maneuvering time $T_ {min}$ if the wind speed (TWS) is less than 10 knots,
• the maximum maneuvering time $T_ {max}$ if the wind speed (TWS) is greater than 30 knots (until exception),
• the result of the following calculation : $$T_m(tws) ={ {{(T_{max} - T_{min}) \times f(tws)}\over 100} + T_{min}}$$

With :

• $T_m(tws)$ : Maneuver time
• $T_{min}$ : Minimum maneuvering time
• $T_{max}$ : Maximum maneuvering time
• $f(tws)$ : Normalized contribution from 0 to 100% of the reference curve

### 2. Reference curve $f(tws)$

Using the curve provided by VR, we created a reference curve..

To do so, the curve provided was printed in large format on graph paper..

Then the curve values were recorded for each intersection with the mark to obtain the following table :

Finally, the equation of the raised curve was approximated using a spreadsheet..

In green, the raised curve.

In red, the curve resulting from the equation.

$$f(tws) ={8,21565 \times 10^-15 \times tws^6 + 0,00025679 \times tws^5 - 0,025678992 \times tws^4 \\+ 0,956690978 \times tws^3 - 16,3150717 \times tws^2 + 130,3637174 \times tws - 397,862533 }$$

Thanks to this equation as well as to the reference values ​​of the various maneuvers contained in the polars of the game, ITYC.fr is able to calculate for each 1 / 10th of a knot of wind, the value of the penalty that will be applied for all types of boats.