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math.DS2025
Mass-Optimal Low-Thrust Forced Periodic Trajectories in the Earth-Moon CR3BP
Colby C. Merrill, Jackson Kulik, Matthew J. Bryan +1
In Cislunar space, spacecraft are able to exploit naturally periodic orbits, which provide operational reliability. However, these periodic orbits only exist in a limited volume. E…
math.DS2024
Generation of Energy-Optimal Low-Thrust Forced Periodic Trajectories in the CR3BP
Colby C. Merrill, Jackson Kulik, Dmitry Savransky
In this work, we investigate trajectories that require thrust to maintain periodic structure in the circular restricted three-body problem (CR3BP). We produce bounds in position an…
math.DS2024
Applications of Induced Tensor Norms to Guidance Navigation and Control
Jackson Kulik, Cedric Orton-Urbina, Maximilian Ruth +1
Linear methods are ubiquitous for control and estimation problems. In this work, we present a number of tensor operator norms as a means to approximately bound the error associated…