Differential-Algebraic Modelling for Orbital Dynamics

We are developing advanced orbital dynamics analysis capabilities using Differential-Algebraic (DA) methods, leveraging our extensive experience in beam physics and dynamics. Our DA approach offers unique advantages, including:

• Generating complete solutions for phase space regions with computational efficiency comparable to single-point methods.
• Dynamic domain decomposition for sophisticated analyses, such as error studies and mission planning.
• Optimization using rigorous global DA methods or hybrid approaches like the heterogeneous island model.

This approach enables broader and deeper insights into orbital dynamics and space applications, and we are eager to apply our proven DA expertise to this field.

Our DA methods deliver efficient, comprehensive phase space analysis, making them ideal for error studies, mission planning, and optimization in orbital dynamics—offering a powerful complement to traditional approaches. For example, our DA methods could optimize satellite trajectories by efficiently mapping phase space regions, reducing computational overhead.