Mathematical and graphical modelling of aerobatic flight trajectories

The article presents the current state of knowledge related to mathematical and graphical modelling of aircraft trajectories, particularly those of aerobatic flights. The first part of the article is an introduction to the subject of training and aerobatic flight. In the second chapter of this work, the authors describe the basic definitions related to mathematical modelling, rules for glider aerobatics (rules for the pilots and for the judges) and specification of navigation software, which is using during competitions. In the further part of the article the authors present example possibilities of application of the mathematical modelling tools in General Aviation and describe the possibilities of implementing the obtained models in selected navigation and tracking systems. In the same part of the article there is a description of the AeroSafetyShow Demonstrator PL – an intelligent system of flights supervision and safety (ASSD+PL), which will be using to compare the real flights trajectory and the models build trough the mathematical software. ASSD+PL in also only tracking system using by the judges at glider aerobatic World Championships. The aim of this article is to validate the applicability of the system comparing to the actual aircraft trajectory with the models referred to as ‘ideal’ for aerobatic purposes.