@inproceedings{6244a8e674544852bfe15bafc25637c8,
title = "Stochastic Safety in Space Conjunctions",
abstract = "The stochastic reach-avoid problem termed p-safety is further examined in the context of space debris and short-term orbital encounters. We define the collision probability problem, and reformulate it as a strong p-safety problem, which offers a computable solution. Enabling computation comes at the cost of a more restrictive formulation which requires several relaxation schemes. To this end, Bernstein forms are employed as polynomial approximation of the nonlinear dynamics, and sum-of-squares as bases to attain certificates of positivity. Finally, a stochastic version of the unperturbed planetary equations is used to model the dynamics.",
author = "Gomez, {Aitor Ramirez} and Rafal Wisniewski",
note = "Funding: 10.13039/100017413-Innovation Fund; 2022 IEEE 61st Conference on Decision and Control (CDC) ; Conference date: 06-12-2022 Through 09-12-2022",
year = "2022",
doi = "10.1109/CDC51059.2022.9992598",
language = "English",
isbn = "978-1-6654-6760-5",
series = "I E E E Conference on Decision and Control. Proceedings",
publisher = "IEEE (Institute of Electrical and Electronics Engineers)",
booktitle = "2022 IEEE 61st Conference on Decision and Control (CDC)",
address = "United States",
}