Simulasi Gerak Pengejaran Misil terhadap Target dengan Lintasan Melingkar Menggunakan Python

  • Lourensia Bravini Lahera Universitas Negeri Medan , Indonesia
  • Cinta Marcella Namira Universitas Negeri Medan , Indonesia
  • Elisa Siregar Universitas Negeri Medan , Indonesia
  • Dewi Wulandari Universitas Negeri Medan , Indonesia
  • Howard Situmorang Universitas Negeri Medan , Indonesia
  • Yuni Warty Universitas Negeri Medan , Indonesia

Abstract

This study aims to model the pursuit motion between guided missiles and a circularly moving aircraft using Python-based numerical simulation. The target moves along a circular path with a constant angular speed, while the missile follows a pure pursuit strategy, continuously adjusting its path toward the target's current position. Two scenarios are simulated: single pursuer and multi-agent pursuers. In the single-missile scenario, the missile forms a spiral trajectory and intercepts the target in approximately 4.9 seconds. In the multi-agent configuration, five missiles launched from different vertical positions successfully destroy the target within 8.3 seconds, with the first interception occurring at 6.7 seconds. The model is based on numerical solutions of differential equations governing relative motion dynamics. The results demonstrate that increasing the number of pursuers enhances interception speed and system effectiveness. The study is supported by animations, distance-time graphs, and damage analysis.

Keywords: Target Interception, Pursuit Curve, Differential Equation Model, Python Simulation

References

Aliyev, Y. N. (2023). Geometric Properties of Planar and Spherical Interception Curves. Axioms, 12(7). https://doi.org/10.3390/axioms12070704

Bozdag, M., Honarpisheh, A., & Sznaier, M. (2025). Safe Control for Pursuit-Evasion with Density Functions. http://arxiv.org/abs/2505.15718

Braun, P., Molloy, T. L., & Shames, I. (2025). Prying Pedestrian Surveillance-Evasion: Minimum-Time Evasion from an Agile Pursuer. http://arxiv.org/abs/2411.19376

Casini, M., & Garulli, A. (2024). A Family of Switching Pursuit Strategies for a Multi-Pursuer Single-Evader Game. http://arxiv.org/abs/2407.19954

Fu, S., Gong, S., & Shi, P. (2024). Analytical Pursuit-Evasion Game Strategy in Arbitrary Keplerian Reference Orbits. http://arxiv.org/abs/2411.15912

Huang, W., Liang, L., Xu, N., & Deng, F. (2025). Dominance Regions of Pursuit-evasion Games in Non-anticipative Information Patterns. http://arxiv.org/abs/2502.02932

Li, S., Wang, C., & Xie, G. (2022). Pursuit-evasion differential games of players with different speeds in spaces of different dimensions. http://arxiv.org/abs/2202.13522

Li, Y., Liu, M., Luan, P., & Zhou, J. (2022). Game Theory Methods for Pursuit-Evasion Problems. Journal of Physics: Conference Series, 2402(1). https://doi.org/10.1088/1742-6596/2402/1/012024

Liang, X., Zhou, B., Jiang, L., Meng, G., & Xiu, Y. (2023). Collaborative pursuit-evasion game of multi-UAVs based on Apollonius circle in the environment with obstacle. Connection Science, 35(1). https://doi.org/10.1080/09540091.2023.2168253

Lovett, M., & Unterkofler, A. (2023). Closed Form Solutions to a Class of Pursuit Problems Using Geometric Analogies. https://doi.org/10.20944/preprints202307.1301.v1

Ma, X., Dai, K., Li, M., Yu, H., Shang, W., Ding, L., Zhang, H., & Wang, X. (2022). Optimal-Damage-Effectiveness Cooperative-Control Strategy for the Pursuit–Evasion Problem with Multiple Guided Missiles. Sensors, 22(23). https://doi.org/10.3390/s22239342

Sun, L., Chang, Y.-C., Lyu, C., Lin, C.-T., & Shi, Y. (2024). MatrixWorld: A pursuit-evasion platform for safe multi-agent coordination and autocurricula. http://arxiv.org/abs/2307.14854

Theers, M., & Singh, M. (2025). Pure Pursuit. https://thomasfermi.github.io/Algorithms-for-Automated-Driving/Control/PurePursuit.html

Umar, B. M., Rilwan, J., Aphane, M., & Muangchoo, K. (2024). Pursuit and Evasion Linear Differential Game Problems with Generalized Integral Constraints. Symmetry, 16(5). https://doi.org/10.3390/sym16050513

Weisstein, & Eric W. (2025, May 22). Pursuit Curve. Wolfram MathWorld. https://mathworld.wolfram.com/PursuitCurve.html

Yoshihara, S. (2024). Elliptical Pursuit and Evasion Extended Version. Preprint. Under Review for the CCP2023 Proceedings.

Similar Articles

1-10 of 48

You may also start an advanced similarity search for this article.