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Our research in Astrodynamics and Dynamical Systems Theory focuses on understanding and leveraging the fundamental principles that govern motion in space. We study the dynamics of spacecraft through modern mathematical frameworks, exploring topics such as orbital mechanics, stability, resonance, and chaotic behavior in multi-body environments. By combining analytical theory, computational methods, and geometric insights, we develop new tools for trajectory design, mission planning, and long-term orbital prediction. This work not only deepens the theoretical foundations of dynamical systems but also enables practical advances in guidance, navigation, and control for space exploration and autonomous systems.