Multi-dimensional Aircraft Collision Risk Evaluation

The patent transitions from a one-dimensional lateral collision risk calculation to a three-dimensional collision risk evaluation system. It introduces longitudinal and vertical dimensions in addition to the lateral dimension, creating a comprehensive spatial model that accounts for collisions in all directions. This dimensional expansion directly resolves the contradiction by making the safety assessment complete while accepting increased calculation complexity.

The patent segments the collision risk calculation into three independent dimensional components: lateral collision risk, longitudinal collision risk, and vertical collision risk. Each dimension is calculated separately using its own probability density function and then integrated to form the overall collision risk assessment. This segmentation approach manages the complexity by breaking down the three-dimensional problem into manageable one-dimensional sub-problems.

The patent changes the fundamental parameters of the collision risk model from requiring extensive historical statistical data to using real-time aircraft state parameters such as position, velocity, and trajectory. By parameterizing the probability density functions with current flight data rather than historical averages, the system achieves accurate collision probability calculation with minimal data requirements.

The patent establishes probability density functions and collision risk models in advance based on theoretical aerodynamic and flight mechanical principles. These pre-established models can then be applied immediately to real-time data without requiring extensive statistical analysis or historical data collection, thus reducing data requirements while maintaining measurement precision.