Air Traffic Control

by Marcos Marrero Disla

Submitted : Spring 2013

A space curve is a parameterized curve taking values in 3-dimentional Euclidian space. It may be construed as the trajectory of a particle moving through space. Similarly, a space curve can be considered a 3-dimensional vector of functions. In this project we are going to carefully study the interaction between space curves, thus identifying its vital use for air traffic controllers. Similarly, we are going to create a computer algorithm that will identify potential hazards between any set of lines. We will be using methods such as the Dot product, the Cross product as well as the process to find the distance between skew lines to property identify how a set of space curves interact with each other. Likewise, simple manipulation of space curves forms the basis for understanding of airplane trajectories.

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