TRAJECTORY MODELING FOR HIGH-POWER ROCKETS USING MATLAB/SIMULINK

Yıl 2025, Cilt: 13 Sayı: 3, 817 - 828, 30.09.2025

Mohammad Afshar , Muhammed Fatih Çakır , Meral Bayraktar

https://doi.org/10.21923/jesd.1653290

Öz

In this study, the trajectory of a high-power rocket was obtained from a model created using MATLAB/Simulink. The non-linear aerodynamic and thrust systems and the variable mass due to fuel consumption are the basic components of this model. The model has been validated by the data collected during the launch of a real rocket. In the case of a need to add new subsystems, the model provides easy integration through its modular and flexible structure. The model has been verified by comparing the simulation results for the altitude and orbit of the rocket with the values of real rocket launch data, as well as through the Rocketpy open source trajectory prediction tool. In order to discuss the effect of mass effect on flight performance, different mass scenarios were performed. Additionally, the velocity of the rocket, the forces acting on the rocket during flight, and its position over time from launch to landing are presented.

Anahtar Kelimeler

Rocket , Trajectory Modelling , MATLAB/Simulink.

Teşekkür

This work was supported by Yildiz Technical University Machine Technologies Club Yildiz Rocket Team

MATLAB/SIMULINK İLE YÜKSEK GÜÇLÜ ROKETLER İÇİN YÖRÜNGE MODELLEMESİ

Öz

Bu çalışmada yüksek güçlü bir roketin yörüngesi MATLAB/Simulink kullanılarak oluşturulan bir model üzerinden elde edilmiştir. Modelin temel bileşenlerini, doğrusal olmayan aerodinamik ve itki sistemleri ile yakıt tüketimine bağlı değişken kütle oluşturmaktadır. Model gerçek bir roketin fırlatılması esnasında elde edilen verilerle doğrulanmış olup, modüler ve esnek yapısı sayesinde ihtiyaç duyulduğunda ek alt sistemlerin kolaylıkla entegre edilmesine olanak sağlamaktadır. MATLAB/Simulink modelinin ulaşacağı irtifa ve yörünge için gerçekleştirilen simülasyon sonuçları, gerçek bir roketin fırlatılması esnasında ve bunun yanında RocketPy açık kaynak yörünge tahmin aracı vasıtası ile elde edilen değerlerle karşılaştırılarak doğrulanmıştır. Farklı kütle senaryoları içeren simülasyonlar gerçekleştirilerek uçuş performansları incelenmiştir. Bunun yanında roketin hızı, uçuş esnasında rokete etkiyen kuvvetler ve fırlatılmasından inişine kadar geçen süre boyunca zamana bağlı konumu sunulmuştur.

Anahtar Kelimeler

Roket , Yörünge Modellemesi , MATLAB/Simulink

Kaynakça

• Abba, S., 2018. Modeling Rocket Flight Trajectory in Workshop: Teaching Computation in the Sciences Using MATLAB, Carleton College, USA. https://www. researchgate.net/publication/347711217_Modeling_Rocket_Flight_Trajectory.
• Aksen, U., Aslan, A. R., Göker, Ü.D., 2024. Development of a Sensitivity Analysis Tool for the Trajectory of Multistage Launch Vehicles. Turkish Journal of Engineering, 8 (2), 254-264.
• Barale, M., 2024. Precise Trajectory Calculation for Launchers: A MATLAB–Simulink Modeling Approach.
• Campbell, T.A., Seufert, S.T., Reis, R.C., Brewer, J.C., Limberger T.R., Whelan, C. E., Okutsu, M., 2016. Model Rocket Projects for Aerospace Engineering Course: Simulation of Flight Trajectories. In 54th AIAA Aerospace Sciences Meeting, page 1577.
• Campos, L.M.P.C., Gil, P.J.S., 2020. The Two-Point Boundary-Value Problem for Rocket Trajectories. Aerospace, 7(9). https://doi.org/10.3390/aerospace7090131.
• Ceotto, G.H., Schmitt, R.N., Alves, G.F., Pezente, L.A., Carmo, B.S., 2021. RocketPy: Six degree-of-freedom Rocket Trajectory Simulator. Journal of Aerospace Engineering, 34(6), 04021093.
• Ceotto, J.C.F., dos Santos Brandão, P.S., Marques, G.A., Lapa, C.M.F., 2021. RocketPy: Next-generation Trajectory Simulation for High-power Rockets.
• Chowdhury, S., Pitot de La Beaujardiere, J., Brooks, M., Roberts, L., 2011. An Integrated Six degree-of-freedom Trajectory Simulator for Hybrid Sounding Rockets. In 49th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition.
• Cremaschi, F., Weikert, S., Schäff, S., Wiegand, A., 2018. ASTOS, A reconfigurable Software for Design of Mega Constellations, Operation of Flying Laptop and End-of-life Disposal. 15th International Conference on Space Operations.
• Dantas, J.P.A., Silva, S.R., Gomes, V.C.F., Costa, F.S.V., Teixeira, C.A., (2024). AsaPy: A Python Library for Aerospace Simulation Analysis.
• Do Nascimento Júnior, D.S.P., Gurgel, J.F., Reis, M., Wehmann, C.F., 2022. Development of a Model Rocket Trajectory Simulation Tool with Python. Revista Brasileira de Física Tecnológica Aplicada, 9(2).
• Folk, S., Paulos, J., Kumar, V., 2023. RotorPy: A Python-based Multirotor Simulator with Aerodynamics for Education and Research.
• Goh, B.S., 2008. Optimal Singular Rocket and Aircraft Trajectories. Chinese Control and Decision Conference, 1531-1536.
• Hergert, J., Brock, J., Stern, E., Wilder, M.C., Bogdanoff, D.W., 2017. Free-Flight Trajectory Simulation of the ADEPT Sounding Rocket Test Using US3D. 35th AIAA Applied Aerodynamics Conference.
• Lane, S.H., Stengel, R.F., 1988. Flight Control Design Using Non-linear Inverse Dynamics, Automatica, 24(4), 471-483, https://doi.org/10.1016/0005-1098(88)90092-1.
• Majstrenko, O.V., Prokopenko, V.V., Makeiev, V.I., Ivanyk, E.G., 2020. Analytical Methods of Calculation of Powered and Passive Trajectory of Reactive and Rocket-assisted Projectiles.
• MBC Campos, L., Gil, P.J., 2020. The Two-point Boundary-value Problem for Rocket Trajectories. Aerospace, 7(9), 131.
• Moore, W., 1813. A Treatise on the Motion of Rockets, to which is added An Essay on Naval Gunnery and Theory and Practice, G. and S. Robinson, London.
• Ohkami, Y., Ogasawara, Y., Ogawa, M., Itoga, C., Sakamoto, T., Nagao, Y., 2004. A Proof-of-Concept Approach for Horizontal Take-Off/Landing Rocket Plane, IFAC Proceedings, 37 (6), 1025-1030, https://doi.org/10.1016/S1474-6670(17)32314-5.
• Ożóg, R., Jacewicz, M., Głębocki, R., 2020. Modified Trajectory Tracking Guidance for Artillery Rocket. Journal of Theoretical and Applied Mechanics, 58(3).
• Stevens, B. L., Lewis, E L., 1992. Aircraft Control and Simulation, John Wiley & Sons, New York.
• Tewari, A. 2007. Atmospheric and space flight dynamics. Birkhũser Boston.
• Tsiolkovsky, K. E., 1903. Exploration of Outer Space by Means of Rocket Devices (A. N. Trans., Trans.) [Original work published in Russian].
• Wang, Y., Xu, M., An, X., Xu, Z., Xu, W., Quan, E., 2021. Numerical Study on the Trajectory of a Long-range Flexible Rocket with Large Slenderness Ratio. Aerospace Science and Technology, 117, 106959.
• Zipfel, P.H., 2014. Modeling and Simulation of Aerospace Vehicle Dynamics. 10.2514/4.862182.
• https://cdn.teknofest.org/media/upload/userFormUpload/EK2F%C4%B1rlatma_Rampas%C4%B1_%C3%96zellikler_gWPxQ.pdf
• TEKNOFEST, 2023: https://www.teknofest.org/tr/yarismalar/roket-yarismasi/