Wojciech Kalinowski

In recent years, there has been an increased interest in Lunar research, which motivates the exploration of its complex dynamic environment. Understanding the underlying dynamics, including the bifurcations of orbital trajectories, is essential for enabling more efficient transfers and station keeping in orbit. This PhD research proposes a novel semi-analytical approach based on Differential Algebra — a technique that leverages Taylor series expansions to operate on polynomial representations rather than on a single constant part numerical values. This method allows the evaluation of a small neighbourhood of points, to specified accuracy, to be calculated via simple polynomial evaluation. 

The objectives of this PhD are to detect and classify various bifurcations of Periodic Orbits, to parameterise a complete Quasi-Periodic Tori, and to employ the parameterised tori as a reference for a new station-keeping strategy