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arxiv 2407.18197 v1 pith:CKJ3JE2R submitted 2024-07-25 astro-ph.EP

Threat Level Estimation From Possible Break-Up Events In LEO

classification astro-ph.EP
keywords break-upassetpossiblethreatdebriskoopmanlevelmodel
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The NASA Standard Break-Up Model models collisions and explosions in space, which identifies the future distribution of debris. Given a possible break-up event, this work analyses the threat posed by the generated debris in the orbit of an asset spacecraft. Using the Koopman Operator solution of the $J_2$ perturbed two-body dynamics, the family of all possible orbits that cross the asset's pathway is identified and parameterized according to their velocity. The threat level assessment of a collision onto the asset is estimated considering the intersection between the velocities of the break-up model and the Koopman transfer solutions.

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