Space systems now form the backbone of global communication, navigation, climate monitoring, defense, and scientific discovery. Modern satellite constellations operate in dynamic, adversarial, and physics‑constrained environments where timing drift, orbital perturbations, radiation noise, and multi‑agent disagreement can destabilize entire networks. Yet the software governing these systems remains nondeterministic, non‑auditable, and non‑reproducible. I introduce Lume‑Space, a deterministic governance substrate for orbital mechanics and multi‑satellite constellations. Built on the Lume‑OS kernel, Lume‑Space integrates relativistic timing correction, orbital‑invariant enforcement, deterministic multi‑satellite arbitration, radiation‑noise rejection, and replay‑identical orbital reconstruction. Lume‑Space compiles natural‑language intent into deterministic, invariant‑preserving actions that operate reliably in the harsh, continuous‑dynamics environment of space. Lume‑Space defines a universal substrate for spaceborne autonomous systems, enabling deterministic governance of satellites, probes, landers, rovers, space stations, and multi‑orbital constellations. I formalize the Lume‑Space architecture, define its orbital semantics, and present constructive proofs demonstrating invariant preservation, deterministic override correctness, multi‑satellite convergence, and replay‑identical orbital behavior. Results show that Lume‑Space enforces deterministic orbital envelopes, maintains certificate‑chain integrity, and ensures reproducible outcomes even under radiation storms, perturbation spikes, and multi‑satellite conflict.
Ronald Jason Andrews (Mon,) studied this question.