Stochastic Safety in Space Conjunctions

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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.
Original languageEnglish
Title of host publication2022 IEEE 61st Conference on Decision and Control (CDC)
PublisherIEEE (Institute of Electrical and Electronics Engineers)
Publication date2022
Article number9992598
ISBN (Print)978-1-6654-6760-5, 978-1-6654-6762-9
ISBN (Electronic)978-1-6654-6761-2
DOIs
Publication statusPublished - 2022
Event2022 IEEE 61st Conference on Decision and Control (CDC) - Cancun, Mexico
Duration: 6 Dec 20229 Dec 2022

Conference

Conference2022 IEEE 61st Conference on Decision and Control (CDC)
Country/TerritoryMexico
CityCancun
Period06/12/202209/12/2022
SeriesI E E E Conference on Decision and Control. Proceedings
ISSN0743-1546

Bibliographical note

Funding: 10.13039/100017413-Innovation Fund

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