A polynomial-based Monte Carlo method using Differential Algebra and Automatic Domain Splitting computes long-term satellite collision probabilities with under 0.5% error and 1.5x to 600x speed-up over standard Monte Carlo.
Calculating collision probability for arbitrary space vehicle shapes via numerical quadrature
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A polynomial-based Monte Carlo approach for estimating long-term collision probabilities
A polynomial-based Monte Carlo method using Differential Algebra and Automatic Domain Splitting computes long-term satellite collision probabilities with under 0.5% error and 1.5x to 600x speed-up over standard Monte Carlo.