Admissible region splitting for multi-fidelity orbit propagation

Date

2023-04-26

Authors

Chiu, Alexander

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Abstract

Admissible regions allow for active tasking of sensors for orbit determination of newly detected objects. These regions are defined using physics-based constraint hypotheses applied to detected objects. The regions can be represented probabilistically using Gaussian mixtures and propagated forward in time, which is computationally expensive. Multi-fidelity orbit uncertainty propagation can help speed up this process, but performance degrades when applied to large initial distributions. A new method for splitting admissible regions is proposed based on k-means clustering. A sensitivity analysis is performed using the partial derivatives of orbital elements with respect to spherical coordinates. The clustering algorithm leads to enhanced multi-fidelity performance by keeping the points closer together over time. The accuracy and runtime improvements are demonstrated using simulated optical and radar test cases.

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