# Lemniscate Flight Path AI Agent Connect

> Calculates optimal figure-8 kite flight patterns for maximum power and smoothness.

## Overview
- **Category:** aviation
- **Price:** Free
- **Endpoint:** https://edge.vinkius.com/vk_preview_nRH2tjNHJvvefCImqfTR40ROXZRNNNe42D0IUzdB/ai-agent-connect
- **Tags:** kite-flying, lemniscate, wind-physics, flight-path, power-optimization

## Description

This MCP server provides mathematical modeling for kite pilots to optimize their figure-8 (lemniscate) flight paths. By analyzing wind speed, kite size, and pilot input patterns, the server calculates the ideal stroke amplitude to maximize power peaks while maintaining stability within the wind window. Use `calculate_optimal_stroke` to find the best pattern width, `predict_power_profile` to map expected force peaks, and `evaluate_flight_smoothness` to assess path stability. It also includes `validate_wind_window_clearance` to ensure flight paths remain safe and within operational boundaries.

## Tools

### calculate_optimal_stroke
Determines the ideal width of the figure-8 pattern to balance power generation and pilot control

### evaluate_flight_smoothness
Measures how fluidly the kite moves through the calculated path, identifying jitter or instability

### predict_power_profile
Maps out the expected force peaks throughout a single completed figure-8 circuit

### validate_wind_window_clearance
Checks if a planned flight path is safe and stays within the boundaries of the wind window

## Prompt Examples

**Prompt:** 
```
What is the optimal stroke amplitude for a 12m² kite in 15 m/s wind with a 0.5 power variation?
```

**Response:** 
```
The optimal stroke amplitude is 4.2 meters, which provides a balanced stability score for a rhythmic pattern.
```

**Prompt:** 
```
Predict the power profile for a 10m² kite with a 3m amplitude in 12 m/s wind using a rhythmic pattern.
```

**Response:** 
```
The expected peak forces are 450N, occurring at 1.5s intervals, with a total energy per cycle of 1200J.
```

**Prompt:** 
```
Is a 5m amplitude safe for a 14m² kite in 20 m/s wind?
```

**Response:** 
```
No, the flight path is unsafe as the amplitude exceeds the wind window boundaries for this wind speed.
```

## Frequently Asked Questions

**How do I find the best flight pattern for my kite?**
You can use the `calculate_optimal_stroke` tool. Provide the current wind speed, your kite's surface area, and your desired power variation to receive a recommended amplitude and pattern type.

**Can I check if my flight path is safe?**
Yes, use `validate_wind_window_clearance` to verify that your planned amplitude and wind speed combination keeps the kite safely within the wind window boundaries.

**How does pilot movement affect the results?**
The `pilotInputPattern` (such as rhythmic or erratic) is used by tools like `predict_power_profile` and `evaluate_flight_smoothness` to adjust the predicted force peaks and stability scores.