Physics Maths Engineering
Peer Reviewed
We propose a closed-form system of nonlinear equations for the pitch plane or longitudinal motions of a fixed-wing aircraft and use it to demonstrate a possible path to the unification of theoretical flight dynamics and practical analysis of aircraft manoeuvres. The derivation of an explicit model free of data tables and interpolated functions is enabled by our use of empirical formulae for lift and drag which agree with experiments. We validate the model by recovering the well-known short period and phugoid modes, and the regions of normal and reversed command. We then use the model to present detailed simulations of two acrobatic manoeuvres, an Immelmann turn and a vertical dive. Providing new quantitative insights into the dynamics of aviation, our model-based manoeuvre analysis has the potential to impact both the academic flight dynamics curriculum and the ground training program for pilots of manned and unmanned aircraft. Possible consequences of future model-centric pilot training may include improved safety standards in general and commercial aviation as well as expedited theoretical course completion in air transport.
The closed-form system of nonlinear equations introduced in this study provides a unified framework for analyzing aircraft manoeuvres. It integrates theoretical flight dynamics with practical applications, enabling more accurate and efficient simulations of aircraft behaviour during various manoeuvres. :contentReference[oaicite:1]{index=1}
The model validates its accuracy by recovering well-known short period and phugoid modes, which are fundamental to understanding aircraft stability and control. This validation demonstrates the model's capability to accurately represent the dynamic characteristics of fixed-wing aircraft. :contentReference[oaicite:2]{index=2}
Implementing model-based manoeuvre analysis in pilot training could lead to improved safety standards in both general and commercial aviation. It may also expedite theoretical course completion in air transport by providing a more comprehensive understanding of aircraft dynamics, thereby enhancing pilot proficiency and decision-making skills. :contentReference[oaicite:3]{index=3}
Show by month | Manuscript | Video Summary |
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2025 February | 6 | 6 |
2025 January | 58 | 58 |
2024 December | 49 | 49 |
2024 November | 58 | 58 |
2024 October | 17 | 17 |
Total | 188 | 188 |
Show by month | Manuscript | Video Summary |
---|---|---|
2025 February | 6 | 6 |
2025 January | 58 | 58 |
2024 December | 49 | 49 |
2024 November | 58 | 58 |
2024 October | 17 | 17 |
Total | 188 | 188 |