飛機在花式飛行表演中，以駕駛員操控飛機之人工方法下，無法輕易得到想要的理想軌跡，例如保持固定半徑之正圓、保持固定長短軸之橢圓。本論文在於不簡化運動方程式的狀態下，分析其飛行軌跡，並探討如何使飛機做出花式飛行中的橫向迴旋運動，持續繞圈於固定軌跡上。在此以NAVION為研究對象，推導出六個運動方程式，其中不做運動方程式簡化，以期符合真實飛行。在此以迴受控制器控制。首先，先建立飛行軌跡與控制項之間的關係，由欲旋轉角速率控制副翼指令，在藉由滾轉角速率來修正方向舵指令，藉以達成橫向迴旋運動，在使用升降舵控制飛機以保持高度飛行。最後，藉由觀察不同的初始速度與欲飛行的半徑，做結果分析，找出長短軸的比例與軌跡圓的傾斜角度，將各種不同情況下的穩定條件建立圖表，方便由圖表中查出穩定條件。

During the aerobatic performance of aircraft, it is uneasy to achieve expected ideal trajectory when using manual method of pilot’s operating the aircraft, such as keeping a trajectory of fixed-radius circle or fixed-major-and-minor-axis ellipse. This paper aims to analyze flight trajectory without simplifying the equation of motion, and discuss how to make the aircraft accomplish horizontal circle motion with repeated loops along fixed trajectory during an aerobatic flight. With NAVION as the research object, this paper deduces six equations of motions, which are not simplified so as to confirm to real flight. Feedback controller is used to control the aircraft. First, relationship between flight trajectory and control item is constructed, and the desired rotating angular rate is used to control the command of aileron. Then, rolling angular rate is used to correct the command of rudder, so as to achieve horizontal circle motion. Elevator is used to control the aircraft, so as to keep high-altitude flight. Finally, result analysis is carried out through observing different initial speeds and desired flight radius, so as to find out the ratio of major axis and minor axis as well as inclination angle of circle trajectory. This paper also makes diagrams about stability conditions under different situations to help find stability conditions from these diagrams.

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