Providing orbit information with predetermined bounded accuracy
PhD thesis — Technische Universität Braunschweig, 2016. Full text: https://archive.org/details/oapen-20.500.12657-56791
PhD thesis — Technische Universität Braunschweig, 2016. Full text: https://archive.org/details/oapen-20.500.12657-56791
Collision-avoidance warnings are only as good as the orbit data every party shares — this is the plumbing that lets thousands of operators agree on where every object is, at the accuracy each is entitled to, without each re-running the math.
Instead of handing satellite operators raw time-tagged position tables (forcing every operator to extrapolate on his own), orbit data can be delivered as Chebyshev polynomial coefficients that directly encode the state vector and covariance matrix over a time span — derived from a reference orbit by a least-squares fit with a modified geopotential, producing orbit information of predetermined, bounded accuracy for any Earth orbit.
Why it matters
Collision-avoidance warnings are only as good as the orbit data every party shares — this is the plumbing that lets thousands of operators agree on where every object is, at the accuracy each is entitled to, without each re-running the math.
Use when: Don't ship raw data and make every consumer do the hard math — ship the answer at the accuracy each consumer is entitled to.