Technical analysis and engineering reference.
With tens of thousands of operational commercial satellites and over a million untrackable lethal space debris fragments (> 1 cm), manual conjunction screening is obsolete. Operational centers receive hundreds of Conjunction Summary Messages (CSMs) per day, requiring fully automated evaluation frameworks.
Evaluating the encounter between two orbital covariance ellipsoids requires integrating Gaussian probability densities across the combined collision cross-section: - Converting state vectors into the encounter frame (B-plane). - Rapid analytical approximation for high relative velocity encounters (> 10 km/s). - Numerical adaptive quadrature when covariance matrices are highly non-spherical or anisotropic.
When the probability of collision exceeds 1e-4, SatelliteTwins calculates the minimum fuel maneuver that maximizes miss distance in the radial and along-track vectors, executing the burn autonomously 12 hours prior to Time of Closest Approach (TCA).