Vectors in Aviation

Juan Torres, Kyle Otterbach, & Dr. Ivona Grzegorczyk

Abstract

Aviation heavily relies on the knowledge of various STEM disciplines in order to construct and efficiently use variety of aircrafts such as planes, jets, drones and helicopters. Vectors are extensively used as mathematical tool to describe various properties and trajectories of flying objects. We explain how one-, two- and three-dimensional vectors with coordinates expressed as (usually continuous) functions (such as trajectory, velocity, acceleration, position, direction, etc.) are used in aviation. Furthermore, we show various applications and modern software incorporated into different elements of aviation systems are influenced by these types of vectors. Specifically, we present some examples to showcase how contemporary technology use multi-dimensional vectors to control flight paths of aircraft and much more. We show some interesting computations of trajectories, velocities, accelerations, object position and their direction. This research area is very important for the control of flying of multiple aircrafts, for avoidance of collisions, for optimizing pathways in various contexts and conditions and for overall safety of flights.

Details

Session 1

9:30am – 11:00am

Grand Salon

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