| Summary: | 碩士 === 國立成功大學 === 航空太空工程學系碩博士班 === 98 === The potential collision danger increases if an aircraft gradually moves closer to another aircraft. If we are able to predict the collision time before the aircraft dangerously close it will help us to devise an effective evasive maneuver (EEM), or re-routes the plane, thus avoiding the collision.
This research focuses on determining safety with the velocity and acceleration. We set the Evader as the reference point and determine the collision range. The two aircraft collide if the Blunder enters the collision range. The collision range is called the Danger Zone (DZ).
First, we use the aircraft’s initial position and velocity to calculate the distance between the two aircrafts, it is necessary to do integral for each time point to calculate positions, to extract the DZ. The DZ range is based on the time and in direct proportion. Second, if the distance between two aircrafts is smaller than a design value, then it is called collision. So the DZ’s range is based on the collision distance between two aircrafts and direct proportion, too.
In this research, the calculation method is as followed, transforming the relationship between the position and time into the constrain conditions by the concept of semialgebraic set, then re-using defined collision distances to form several subsets, it only need to check whether the subsets fit , so that the intersection will be the overall Danger Zone. By the concept of using semi-algebraic set, in the case of only knowing the position and velocity of the two airplanes, it can be judged whether the two airplanes collision in the future by constrain conditions; the calculation and judgment is relatively quick and easy.
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