# Kessler

> Orbital debris and collision risk. Part of Lattice OS by Fancyland LLC: https://latticeos.org/ (the whole portfolio for AI readers: https://latticeos.org/llms.txt).

## Pages

- [Kessler Substrate-Coupling Pathway | Lattice OS](https://kessler.latticeos.org/coupling/): Closed-form fleet-wide substrate-coupling pathway analysis. Topological adjacency on the character-graded leverage map; tumbling-state correction via Cauchy's 1841 surface-area theorem applied to objects in chaotic-tumble sectors.
- [Kessler — Orbital Debris and Collision Risk | Lattice OS](https://kessler.latticeos.org/): Four offerings of the Kessler substrate. Closed-form algebra against 49,998 LEO objects, live in production. No tier. No menu.
- [Kessler Lifecycle Atmospheric Risk Service (LARS) | Lattice OS](https://kessler.latticeos.org/lars/): Two daily-refresh observables: β_rel(h) per-altitude-shell storm-response coefficients and SWADI substrate-weighted atmospheric density. The catalog as a distributed in-situ atmospheric instrument.
- [Kessler Orbital Lifecycle Envelope (MTBOF) | Lattice OS](https://kessler.latticeos.org/mtbof/): P10/P50/P90 mean-time-between-orbital-failures envelope replayed against the F2-validated 95-year GFZ-Potsdam Kp/ap archive. Forward-prediction tool, not historical-calibration.
- [Kessler Slot Assessment | Lattice OS](https://kessler.latticeos.org/slot/): Closed-form per-orbit substrate-leverage assessment against 49,998 LEO objects. Top-K named cascade triggers and safe-harbor advisories per the customer's operational shell.
- [Kessler Audit Charter — v0.5.0 | Lattice OS](https://kessler.latticeos.org/audit/v0.5.0/): Per-claim verification of the Kessler methodology. PASS/FAIL results, pinned input SHA-256s, downloadable audit JSONs.
- [Kessler Substrate Audit Charter — v0.4.1 — Fancyland LLC](https://kessler.latticeos.org/audit/v0.4.1/): Per-claim verification of the Kessler-substrate methodology. PASS/FAIL results, snapshot SHAs, downloadable audit JSONs.