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Yema Paul

Publications and source records attributed to Yema Paul.

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A Physics-Informed Statistical Learning Model for Long-Term Fragmentation Cloud Propagation

This paper introduced a Hierarchical Generative Density Model (HGDM) for the long-term propagation of orbital fragmentation clouds. Validation against high-fidelity Monte Carlo simulations showed that the proposed surrogate accurately reproduces the dominant multidimensional structures of propagated clouds while consistently outperforming classical band-formation approximations based on independent angular variables. Accurate cloud reconstructions were obtained using only a few hundred to a few thousand propagated fragments, yielding reductions exceeding two orders of magnitude in computational cost and three orders of magnitude in storage requirements; future work will investigate its application to large-scale debris-environment evolution and collision-cascade simulations associated with the Kessler syndrome.

math.NA

Probability of Collision with Tethered Spacecraft

This Engineering Note addresses the challenge of estimating the probability of collision for tethered spacecraft during close encounters with other space objects. Standard probability of collision methods, based on spherical hard-body assumptions, tend to be overly conservative when applied to long tether systems. We introduce a method that accounts for the tether's spatial extent and configuration uncertainty by maximizing the probability of collision over all physically admissible tether shapes. Applied to real-world conjunction events involving a kilometer-scale flexible inextensible tether, the method yields more realistic risk estimates. This approach improves the ability to distinguish hazardous from benign encounters, thereby supporting more informed collision avoidance decisions.

math.NA