Boat Polars
Understand how boat performance is modeled in FairWinds using polar diagrams.
What Are Polars?
A polar diagram is a graph that shows a boat's speed at different wind speeds and angles. It's the fundamental data that determines how fast your boat will sail in any given conditions.
Key Components
- Wind Speed: True wind speed (horizontal axis or concentric circles)
- Wind Angle: Angle between boat heading and true wind (radial axis)
- Boat Speed: Predicted speed through water (values or contour lines)
Reading Polar Diagrams
Polar Plot Format
In a typical polar diagram:
- Center: The boat's position
- Radial Lines: Wind angles (0° = upwind, 180° = downwind)
- Concentric Circles: Boat speed in knots
- Curves: Each curve represents a different true wind speed
Example: IMOCA 60
At 12 knots of wind:
| Wind Angle | Boat Speed |
|---|---|
| 45° (close-hauled) | 9.5 knots |
| 90° (beam reach) | 14.2 knots |
| 135° (broad reach) | 15.8 knots |
| 180° (running) | 12.3 knots |
Boat Classes
FairWinds includes accurate polars for multiple boat classes:
IMOCA 60
- Type: Open 60-foot offshore racer
- Characteristics: Fast, foiling capable
- Best Conditions: Strong winds, open ocean
- Top Speed: 30+ knots
TP52
- Type: High-performance grand prix racer
- Characteristics: Excellent upwind, crew-intensive
- Best Conditions: Coastal racing, varied conditions
- Top Speed: 20+ knots
Class40
- Type: 40-foot offshore racer
- Characteristics: Versatile, good all-around performance
- Best Conditions: Medium-distance races
- Top Speed: 25+ knots
Figaro Beneteau 3
- Type: One-design offshore racer
- Characteristics: Equal performance, skill-based
- Best Conditions: Fair competition
- Top Speed: 18+ knots
Performance Factors
Velocity Made Good (VMG)
VMG is the component of boat speed in the direction of your target:
VMG = Boat Speed × cos(angle to target)
Key Concept: The fastest point of sail isn't always the fastest route to your destination.
Optimal Angles
For each wind speed, there are optimal angles for:
- Upwind VMG: Best angle when sailing toward the wind (typically 40-50°)
- Downwind VMG: Best angle when sailing away from the wind (typically 140-150°)
Factors Affecting Performance
Sea State
Wave conditions impact boat speed:
- Flat Water: Polars are most accurate
- Moderate Seas: 5-10% speed reduction
- Heavy Seas: 10-20% speed reduction
FairWinds adjusts performance based on wave forecasts.
Current
Ocean currents add or subtract from boat speed:
- Favorable Current: Increases speed over ground
- Adverse Current: Decreases speed over ground
- Routing Impact: Can change optimal route significantly
Using Polars for Strategy
Tacking Upwind
When sailing upwind:
- Find optimal upwind VMG angle (e.g., 45°)
- Tack when wind shifts or to avoid obstacles
- Minimize time spent tacking (speed loss)
Jibing Downwind
When sailing downwind:
- Find optimal downwind VMG angle (e.g., 145°)
- Jibe to maintain optimal angle
- Consider current when choosing which jibe
Reaching
On a reach (wind from the side):
- Often the fastest point of sail
- Minimal course changes needed
- Maximize time at these angles
Custom Polars
For advanced users and developers:
Polar File Format
Polars are stored in CSV format:
TWA,TWS_6,TWS_8,TWS_10,TWS_12,TWS_14
0,0,0,0,0,0
45,6.2,7.8,9.1,9.5,9.8
52,6.8,8.5,10.2,11.1,11.8
60,7.5,9.4,11.5,13.2,14.5
...
- TWA: True Wind Angle
- TWS_X: True Wind Speed at X knots
- Values: Boat speed in knots
Next Steps
- Learn about routing strategies
- Understand weather data
- Explore race formats