It quantifies, in hard and reproducible numbers, what quantum clocks, quantum
inertial sensors, and optical time-transfer buy a navigation system over classical
PNT — scored against the operational figures of merit that matter for resilient
navigation. Every result is reproducible from scenario + seed + engine version,
and every sensor parameter is traceable to a published source — consolidated in one
citable table in docs/PROVENANCE.md.
Validated against external oracles — every row CI-gated
Each row is checked against an independent external oracle (real dataset, independent reference implementation, or published reference vectors) and re-checked in CI. Full 91-row matrix →
| Capability | Result | External oracle | |
|---|---|---|---|
| ✅ | SGP4/SDP4 propagation | 666/666 vectors, worst 4.12 mm | AIAA 2006-6753 (Vallado) + independent sgp4 crate |
| ✅ | Numerical Cowell force model | 0.08 m / 24 h, 275 epochs | Orekit 12.2 DormandPrince853 (CS GROUP) |
| ✅ | Orbit fit vs precise ephemeris | Galileo 0.61 m · Swarm-A 0.10 m | ESA/ESOC SP3 precise orbits |
| ✅ | GCRS→ITRS frame chain | bit-for-bit vs SOFA; ≤ 0.86 m vs SPICE | ERFA/SOFA + ANISE (pure-Rust SPICE) |
| ✅ | Allan deviations | reproduce reference deviations | NIST SP 1065 + Stable32 on a real Cs clock |
| ✅ | GNSS DOP · ML detector metrics | to 1e-6 · to 1e-9 | gnss_lib_py · scikit-learn |
| ✅ | Fisher information · CRLB · observability | eigh / CRLB / DOP to 1e-9 | NumPy 2.4.1 (LAPACK) + Kay (1993) closed forms |
Free and open source under the GNU AGPL-3.0 — with a commercial licence available
from Ashforde OÜ for proprietary/closed integration (see LICENSING.md).
Professionally developed and maintained by Ashforde OÜ; commercial
support, integration, and proprietary extensions available.
Status: v0.23.0 · a validated, reproducible simulation substrate for PNT resilience. A fully reproducible engine spanning the PNT stack — orbit geometry and constellation design, a numerical (Cowell) propagator with a seven-perturbation force model, maneuver and trajectory design, time systems, inertial navigation (incl. map-aided and gravity-map-matching alt-PNT), GNSS/INS fusion (loose, tight, UKF, coupled clock+position, 17-state), orbit determination, ARAIM integrity, clocks, advanced time-and-frequency transfer, the GNSS measurement domain, resilience (jamming + multi-layer spoofing), and an open deep-space / Mars radiometric navigation engine (light-time + Shapiro, CCSDS-TDM, reduced-dynamic SRIF, one-/two-way fusion); plus first-order mission-analysis budgets (launch / re-entry / EO-coverage / pointing / ground-station passes / link), a space-weather environment model, an AI/ML RF-impairment evaluation testbed, and the versioned Kshana Interchange Format (KIF). Honest by design: every figure of merit is labelled validated or modelled, and optical-clock figures are space goals on ground hardware (no strontium optical clock has flown).
Validation ladder (maturity is not uniform across domains — and saying so is the point):
Domain Tier Earth PNT (orbit, frames, time, clocks, IMU, integrity) Real-data validated — ESA SP3 (Galileo 0.13 m / 8 h · 0.61 m / 24 h, Swarm-A 0.10 m), NIST SP1065, SOFA/ERFA, heritage vectors Deep-space / Mars navigation Simulation-validated — synthetic closed-loop OD + analytic self-consistency; Sun-central dynamics cross-checked vs JPL DE440 (137 m @ 1-day arc) Real-mission deep-space OD Roadmap — pending real DSN/ESTRACK tracking-data validation Deep-space figures (Mars-LMO OD ≈ 0.2 m; relay-PNT orbiter 0.4 m / rover 5.1 m) are simulation / covariance figures of merit, not real-mission results. See Capabilities for what it does, What it is / is not for scope, and
docs/CAPABILITY.md/docs/VALIDATION.mdfor per-capability maturity. The overclaim closure ledgerdocs/CLAIMS-VS-REALITY.mdtracks every historical overclaim, how it was resolved, and a CI guard (tests/no_overclaims.rs) that keeps it resolved.
Try it in your browser: the playground runs the engine client-side as WebAssembly — pick a scenario, edit the parameters, and see the result, with nothing uploaded. Build it locally with
./web/build.sh(seeweb/README.md), or publish it to GitHub Pages via thepagesworkflow.
New to this? In plain terms: GPS-style satellite signals tell things where they are and what time it is. When those signals are lost (jammed, blocked, or out of view in space), a system has to keep going on its own onboard clock and motion sensors — and they slowly drift. "Quantum" clocks and sensors drift far more slowly. Kshana measures, in honest numbers, how much longer a quantum-equipped system can coast before it exceeds its accuracy limits. New readers should start with the plain-language primer and the glossary.
Contents
- Why · What it is / is not · Capabilities · Results
- Install & build · Usage (Python, WebAssembly)
- Scenario format · Output · Architecture
- Repository layout · Validation & honesty
- Documentation · FAQ · Troubleshooting
- Roadmap · Contributing · Citing · Versioning & releases · License
- Support & professional services · References
Why
Resilient PNT depends on holding position and time when GNSS is denied or jammed. Quantum sensors promise far slower drift during those outages. There is no good open tool to quantify that advantage honestly and reproducibly — so primes, agencies, and labs each rebuild private one-offs. Kshana aims to be the neutral, citable reference for exactly this question.
The engine knows nothing about "quantum" vs "classical": each sensor is an error model plugged into a common pipeline, so a quantum and a classical device are compared apples-to-apples on the same scenario, with independent noise realizations.
What it is / is not
It is: a deterministic, dependency-light engine spanning the PNT stack — orbit geometry, inertial navigation, GNSS/INS fusion, integrity, clocks, and timing. It runs a scenario (often a GNSS outage), evolves calibrated sensor error models through the appropriate estimator, and scores the result against the operational figures of merit — emitting a reproducible JSON result and an SVG chart, from a Rust library, a CLI, a Python extension, an in-browser WebAssembly module, a Model Context Protocol (MCP) server for AI agents, or a JetBrains IDE plugin.
It is not: flight hardware, a quantum-payload design, a full GNSS signal
receiver, or a certified avionics product. Quantum-hardware fidelity comes from
published error models, not from this tool. The granular maturity of each
capability is documented in docs/CAPABILITY.md.
It is not (yet): a full atom-interferometry physics engine (most quantum sensors
consume published Allan/noise-budget coefficients; the CAI accelerometer has a
first-principles layer — Mach–Zehnder phase, projection noise, contrast decay, and
vibration coupling — but Coriolis and light-shift systematics remain a P2 roadmap
layer, see ROADMAP.md and docs/QUANTUM-MODELS.md);
a full GNSS signal-acquisition receiver (it now solves a single-point PVT position
fix from real RINEX code observations — validated on real IGS data — but does not
acquire or track raw signal); or a full mission-design suite (it has Lambert / porkchop /
maneuver / orbit-determination building blocks, but is the performance-simulation layer
above GMAT/Orekit, not a replacement). Owning this scope is deliberate. If you need first-principles cold-atom
interferometer error budgets (e.g. CARIOQA-PMP-grade or X-37B-style validation), see
the P2 roadmap and get in touch to collaborate.
Capabilities
One engine spans the whole PNT stack — and its maturity is honest per domain: Timing, Orbits and GNSS geometry are heavily externally validated; Lunar and several quantum/resilience domains are deliberately Modelled until real tracking data exists.
<p align="center"> <img src="docs/assets/figures/domain-coverage-map.png" alt="Capability coverage by domain: Orbits and GNSS lead on externally-validated capabilities; Inertial, Interop and Resilience are currently Modelled; Timing and Lunar are mixed" width="86%"> <br><sub>Breadth across the PNT stack, and honest maturity per domain · <a href="docs/assets/figures/domain-coverage-map.svg">SVG</a></sub> </p>The full domain-by-domain detail follows; for a per-capability maturity ledger see
docs/CAPABILITY.md and docs/VALIDATION.md.
| Domain | Capability |
|---|---|
| Orbit & geometry | SGP4/SDP4 propagation (validated to 4.12 mm against all 666 AIAA 2006-6753 vectors); real two-line elements (a committed, date-stamped Celestrak gps-ops snapshot) or synthetic Walker-delta constellations whose mean elements realise the i:T/P/F formula to under 1 km over a 24 h propagation; multi-constellation visibility, dilution of precision (GDOP/PDOP/HDOP/VDOP/TDOP, validated to 1e-6 against gnss_lib_py 1.0.4, Stanford NAV Lab), and GNSS availability; a gradient-free constellation-design optimiser, streets-of-coverage minimum-satellite sizing, a multi-constellation comparison tool, and a Walker design sweep that tabulates coverage / PDOP / revisit-time over a planes × satellites grid and reports the Pareto-optimal designs. |
| Numerical propagator | A Cowell numerical propagator (src/propagator.rs) complementing the analytic SGP4/SDP4 path, with a hierarchical seven-perturbation force model (src/forces.rs): two-body + the full J2–J6 zonal field (the exact analytic gradient of its disturbing potential), an optional EGM2008 tesseral spherical-harmonic geopotential to degree/order 70 (src/gravity_sh.rs; real NGA coefficients, Holmes–Featherstone normalized-Legendre recurrence, cross-checked against the closed-form Legendre functions and the analytic ∇V identity), epoch-driven Sun and Moon third-body gravity (a built-in low-precision ephemeris, no DE/SPK kernel), solar-radiation pressure (cannonball model with a conical umbra+penumbra shadow), atmospheric drag (Vallado piecewise-exponential density, co-rotating atmosphere), the post-Newtonian Schwarzschild relativistic correction, and the Lense–Thirring frame-dragging term (IERS 2010 §10, linear in Earth's angular momentum, ~1–2 orders below Schwarzschild) — driven by a choice of two adaptive integrators (RK4 step-doubling or the Dormand–Prince RK5(4) embedded pair). Validated against Orekit 12.2 (CS GROUP, Apache-2.0) NumericalPropagator/DormandPrince853 — 275 epochs across LEO + GTO, the conservative-force tiers agreeing to a worst-case |Δr| 0.08 m over 24 h (tests/numerical_cowell_propagator_reference.rs); the atmospheric-drag tier is characterised separately (≈ 333 m / 24 h) and the absolute Sun/Moon-ephemeris and density inputs stay honestly Modelled. Additional internal evidence (not external validation): the unperturbed orbit is checked against the exact universal-variable Kepler solution to sub-metre over 24 h, energy/angular-momentum conserve to ~1e-9, and each perturbation matches a hand-derived closed-form signature. |
| Maneuvers & trajectory design | Impulsive ΔV nodes with 6×6 covariance propagation (ECI / LVLH execution-error frames), finite-burn integration checked against the closed-form Tsiolkovsky rocket equation to < 0.01 %, an Izzo-2015 single-revolution Lambert solver, an exact universal-variable Kepler propagator, and a porkchop (launch × arrival) C3 / arrival-V∞ sweep emitted as a JSON contour grid — the performance-simulation layer above GMAT/Orekit, with every Lambert output round-tripped against two-body truth and the porkchop minimum checked against the analytic Hohmann floor. |
| Time systems & reference frames | IERS leap-second UTC / TAI / TT / UT1 scales, a Julian-date API, the IAU-2000 Earth Rotation Angle, GMST-based TEME ↔ ECEF with WGS-84 geodetic frames, IAU 2006 precession (Fukushima–Williams), full IAU 2000A/2000B nutation, IERS polar motion, and the equinox-free CIO-based IAU 2006/2000A GCRS↔ITRS reduction — all validated bit-for-bit against the SOFA/ERFA vectors, and independently cross-checked against ANISE (the pure-Rust NAIF/SPICE reimplementation): kshana's GCRS→ITRS vs ANISE's ITRF93 from JPL's earth_latest_high_prec.bpc, the same IERS Earth-orientation parameters fed to both, agree to ≤ 0.86 m on the ground / ≤ 3.6 m at GNSS orbit (max 0.028″) across eight epochs 2020–2023. |
| Inertial | Three-axis strapdown INS — quaternion attitude, WGS-84 NED mechanization, coning/sculling compensation, and a deterministic IMU error model (scale-factor, misalignment, g-sensitivity, quantization, drift); a first-principles cold-atom-interferometer accelerometer (Mach–Zehnder phase, quantum projection noise, contrast decay, vibration coupling) that derives the velocity-random-walk coefficient; and a sequential-importance-resampling particle filter for map-aided (terrain-/gravity-referenced) GPS-denied navigation. |
| Alt-PNT (GPS-denied) | A cold-atom gravimeter measurement model whose white-noise floor (σ = ASD/√τ) is derived from the CAI accelerometer physics; a low-degree, fully-normalised spherical-harmonic gravity-anomaly field (checked against the closed-form Legendre functions and a hand-derived single-term anomaly) plus synthetic mascons; the gravity-functional synthesis kernel (gravity_sh::gravity_magnitude / gravity_disturbance_mgal) — the "map reader" a gravity-aided navigator matches against — is validated against the GRS80 normal-gravity standard, reproducing the closed-form Somigliana normal gravity and the published γ_e / γ_p to 3.5e-12 and producing a physically-bounded disturbance map from the real ICGEM EGM2008 field (RMS ≈ 26 mGal, max ≈ 89 mGal at d/o 70; tests/icgem_gravity_reference.rs); and a gravity-map-matching particle filter that recovers a GPS-denied track from the anomaly sequence it flies through. It extends to terrain-referenced navigation (TERCOM/SITAN against an SRTM .hgt DEM, src/altpnt/terrain.rs), an IGRF-14 geomagnetic main field to degree/order 13 (src/igrf.rs, checked against the tilted-dipole closed form and ∇V finite differences), and a combined gravity + magnetic + terrain navigator that fuses all three scalar channels through one particle filter (information is additive — no channel makes the fix worse). A 60-minute GPS-denied benchmark (a ~700 km / one-hour outage where the inertial solution drifts to ~70 km) is recovered to ~145 m (< 500 m) by a hierarchical coarse-to-fine matcher — the ESA NAVISP Quantum Wayfarer target. |
| Fusion | Loosely-coupled 15-state GNSS/INS error-state EKF with closed-loop feedback (the gnss-ins pack); a tightly-coupled pseudorange update that keeps correcting with fewer than four satellites; a coupled clock + position filter; a general unscented (sigma-point) Kalman estimator for strongly nonlinear measurements; a tightly-coupled GNSS/INS UKF navigator (pseudorange + Doppler) whose force-model orbital coast is validated to 0.77 m RMS over a 30-minute curving LEO pass that includes a 120-second GNSS outage; and a full 17-state tightly-coupled GNSS/INS UKF (position, velocity, attitude error, accelerometer and gyro biases, clock bias and drift) whose quantum-CAI dead-reckoning coasts a 120-second outage on the cold-atom accelerometer's derived velocity-random-walk. |
| Orbit determination | Recovery of an orbital state [r, v] from ground-station range tracking, composing the two-body + J2 force model and RK4 integrator with a Gauss–Newton batch corrector (determine_orbit_batch, sub-metre / mm·s⁻¹ from noiseless ranges, ~2 m at a 5 m noise floor) and a sequential unscented-filter variant (determine_orbit_sequential). |
| Observability & estimation theory | A general, reusable Fisher-information / Cramér–Rao layer (src/fim.rs): the information matrix M = HᵀWH, the Cramér–Rao lower bound, observability rank and datum-defect null space (Moore–Penrose pseudo-inverse), and D/A/E/T-optimal experiment-design scalars from a symmetric Jacobi eigensolver. Validated — eigenvalues vs numpy.linalg.eigh, the CRLB covariance vs σ²(XᵀX)⁻¹ via numpy.linalg.inv, and GNSS DOP from the information matrix, all matched to 1e-9 (tests/fim_observability_reference.rs), and additionally cross-checked against the Kay (1993) closed-form bounds with Monte-Carlo CRLB attainment. It underpins the DOP engine, the passive-geolocation CRLB, and the lunar absolute-station observability theorem (below). |
| Lunar & cislunar | An Earth–Moon circular restricted three-body (CR3BP) propagator in the rotating frame — conserved Jacobi constant and all five Lagrange points (src/cr3bp.rs) — now with a 6×6 state-transition matrix and a single-shooting differential corrector (cr3bp_jacobian, propagate_state_stm, differential_correct_halo) that produces genuinely periodic halo / NRHO orbits: the STM is validated against finite differences, corrected orbits close to machine precision, and seeding the published apolune state reproduces the L2 southern 9:2 NRHO (the Gateway orbit) at period ≈ 6.57 d / perilune ≈ 3,250 km, consistent with the published ≈ 6.56 d / ≈ 3,370 km (a CR3BP — circular, Sun-free — solution, not validated against a real LANS/Gateway ephemeris; the selenocentric MCI/MCMF transform of the corrected orbit is a follow-on); plus LunaNet / LNIS cislunar PNT geometry (MCI↔MCMF reduction, selenographic coordinates) with a lunar south-pole ARAIM pass that honestly surfaces the integrity gap: a ~30 m σ_URE drives the protection level well above a 50 m alert limit (src/lunar.rs, scenarios/lunanet-araim.toml). |
| Lunar PNT suite | A modelled lunar/cislunar navigation suite layered on the CR3BP core, each a runnable kind: Lunar Coordinate Time (lunar-time-offset, src/lunar_time.rs — the secular LTC/TCL − TT rate from the self-potential difference + kinetic term, reported with the published 56–59 µs/day band); a geodetic lunar VLBI delay observable (lunar-vlbi, src/lunar_vlbi.rs — an Earth-baseline near-field two-range-difference delay + rate, cross-checked against the same-codebase plane-wave Δ-DOR in the far-field limit, partials finite-difference-verified); a joint multi-technique OD + clock batch estimator (lunar-joint-od-clock, src/lunar_combination.rs — a Gauss–Newton fit fusing VLBI + lunar-local ranges + inter-satellite ranges) carrying a Fisher-information observability result: internal ranging alone leaves a six-degree-of-freedom rigid-body datum defect, so a surface station's absolute position is unobservable until an Earth-frame tie is added — an Earth-baseline VLBI delay restores observability for a sparse constellation and sharpens the Cramér–Rao bound for a rich one, the absolute datum closing at three non-collinear Earth stations; reference-frame realisation (lunar-frame-realisation, src/lunar_frame_realise.rs — a 7-parameter Helmert datum fit + IAU 2015 WGCCRE orientation tie); a Moonlight/LCNS-class service-volume analysis (moonlight-service-volume, src/lunar_service.rs — DOP / coverage / availability + a generalised lunar ARAIM HPL/VPL envelope, reusing the gnss_lib_py-validated DOP kernel and the LunaNet σ_URE≈30 m machinery); lunar differential PNT (lunar-differential-pnt, src/lunar_dpnt.rs — a lunar DGNSS/SBAS analogue: exact common-mode clock cancellation + first-order spatial decorrelation vs baseline, reusing the DO-229E SBAS protection level); and a LunaNet/IOAG-aligned interoperability export (lunar-interop-export, src/lunar_interop.rs — CCSDS-OEM + lunar-time-scale round-trip in the IAU 2015 lunar body frame, wrapped in the KIF envelope). All MODELLED against internal consistency / reference implementations from illustrative public-source parameters — not validated against real VLBI/Gateway tracking, not affiliated with or endorsed by any agency, no TRL / heritage claim. |
| Deep-space & Mars PNT | An open radiometric navigation engine: iterative light-time + Shapiro relativistic delay, two-/one-/three-way Doppler & range (Moyer two-leg), coherent transponder turnaround ratios, regenerative/PN ranging (CCSDS 414), and Δ-DOR plane-of-sky (CCSDS 506), with solar-plasma/tropo/iono media; CCSDS-TDM (503) tracking-data-message parse + emit; a reduced-dynamic Square-Root Information Filter (RTN empirical accelerations + a 3-state onboard clock + Mars atmospheric drag) that does Mars-LMO orbit determination to ≈ 0.2 m in a synthetic closed loop; a joint one-way + two-way fusion estimator; a multi-body dynamics core (Body{μ, re, zonals, gravity, IAU-pole}, Mars GMM-3 gravity, an IAU body-fixed Mars frame, a pluggable EphemerisProvider seam, two-part Julian dates + TT↔TDB); and the mars-pnt relay-PNT scenario (a MARCONI areostationary relay constellation) with an end-to-end GSE performance simulator (geometry → link budget → observables → SRIF → covariance). Simulation-validated (covariance / closed-loop figures of merit); the Sun-central Mars dynamics are cross-checked against JPL DE440 (137 m @ 1-day arc, xval/anise-mars-od). Real DSN/ESTRACK tracking-data validation is on the roadmap. |
| Integrity | Snapshot and solution-separation (ARAIM-style) RAIM with horizontal/vertical protection levels (HPL/VPL), fault detection & exclusion, and Stanford integrity diagrams; an explicit integrity-risk-budget (MHSS) protection level, including the dual-/multi-constellation constellation-wide fault mode (EU ARAIM / DO-316), exercised on a real GPS + Galileo snapshot (scenarios/araim-gps-galileo.toml). The protection level applies the one-sided nominal-bias projection `b_k = Σ_i |
| Augmentation (SBAS) | SBAS / WAAS protection levels in the DO-229E weighted-least-squares form (precision-approach and en-route K-factors) and the L1/L5 dual-frequency ionosphere-free combination (IS-GPS-705, γ₁₅ ≈ 1.793) that underpins DO-316 — src/sbas.rs. The protection-level algorithm is externally validated against the RTKLIB SBAS-PL fork (zsiki/rtklib_ws waasprotlevels(), Siki & Takács 2017, DO-229D App. J) run on real EGNOS data, reproducing its HPL to < 2e-3 m (tests/sbas_reference.rs); gLAB v6.0.0 confirmed the identical convention. |
| Clock & timing | Two-state Kalman holdover (Joseph-form covariance, NIS/NEES consistency health); Allan-family stability (ADEV / MDEV / TDEV / HDEV / MTIE) with noise-type-specific confidence intervals and a full IEEE-1139 five-coefficient power-law fit — the estimators are validated on real hardware against Stable32: a real 5071A caesium primary standard vs a hydrogen maser (556,990 phase samples, 16 averaging factors, OADEV/OHDEV to 1e-3; tests/cs5071a_reference.rs) and the canonical Stable32 PHASE.DAT regression series (139 averaging factors, OADEV/MDEV/TDEV to 1e-3; tests/phasedat_reference.rs); the ADEV/MDEV/TDEV estimators and the telecom MTIE wander metric are additionally cross-checked against the independent allantools 2024.06 library to < 1e-9 on the NIST SP 1065 series (tests/mtie_reference.rs, tests/mdev_tdev_reference.rs); geometric corrections (Sagnac, GNSS common-view); and the operational transfer methods — TWSTFT with the BIPM Sagnac closed form, GNSS common-view, PPP ionosphere-free time transfer, a free-space optical link with turbulence scintillation, and an inverse-variance clock-ensemble (paper) timescale below the best contributing clock. A GNSS-denied clock-holdover calculator (src/holdover.rs) exposes the closed-form van-Loan coast-error growth as a holdover-to-threshold inversion — how long a clock free-runs before its timing error exceeds budget — across representative classical and quantum-clock classes; modelled (cross-checked against the multi-step clock_state covariance recursion), and honest that for a very stable clock the holdover to a tight threshold is set by the assumed long-tau noise floor, not the cited ADEV. A conditional Timing Protection Level (src/tpl.rs) extends holdover to spoofing: a bound on the undetected time error, given an independent cross-check, that composes a k-sigma monitor floor, the van-Loan coast variance over the detection latency, and a CUSUM time-to-alarm. Calibrated on a real recorded spoof (JammerTest 2024) and reproducible via cargo run --example tpl_jammertest; MODELLED composition (no integrity-risk-per-hour budget), conditional on detection — there is no finite unconditional bound. |
| GNSS measurement domain | Forward pseudorange / Doppler synthesis with Klobuchar (broadcast) and IONEX / TEC-grid (measured) ionosphere — including an IONEX file parser, time interpolation between maps, and the thin-shell slant-obliquity mapping — Saastamoinen + Niell troposphere, and snapshot RAIM (HPL/VPL). |
| Resilience | Link-budget jamming (J/S → effective C/N₀ → loss of lock, with the anti-jam spectral-separation factor Q now derived from the actual signal and jammer power spectra via src/navsignal.rs — Q = 1/(R_c·κ), cross-checked in CI against the previous representative constant); a stochastic time-spoof detector (Neyman–Pearson / χ²₁ energy test with closed-form and Monte-Carlo P_fa/P_md and a Security FoM of 1 − P_md); and a multi-layer spoof detector fusing a RAIM-consistency parity test (with the common-mode blind spot modelled honestly), an RF AGC-power monitor, and a signal-quality (SQM early-minus-late) monitor; and a quantum-inertial dead-reckoning error budget (QuantumNavBudget, src/inertial/quantum_imu.rs) composing the cold-atom-interferometer white-noise velocity-random-walk with residual bias (cross-checked against the independent AccelModel integrator) and scale-factor error into a position-drift-over-holdover figure — the inertial twin of the clock holdover. A framework-aligned resilience-scoring engine (src/resilience/) maps an architecture's simulated behaviour to per-dimension sub-scores across the DHS RPCF categories, then studies the decision-stability of any single composite score or maturity Level under a Dirichlet weighting simplex and a five-threat ensemble — Kendall-τ rank instability, top-1 winner flip rate, and common-mode diversity collapse (Hill-N2), with an integrity-hashed assurance report (35 hand-derived oracle tests). Reproducible via cargo run --example resilience_report; MODELLED synthetic architectures, a self-assessment aligned to RPCF v2.0, not a certification. See docs/RESILIENCE-CROSSWALK.md. |
| Passive RF geolocation | TDOA/FDOA emitter geolocation (src/geolocation.rs) — locate a jammer or spoofer (or an opportunistic source for reverse-PNT) from time-difference-of-arrival hyperboloids across a receiver network, solved by Gauss–Newton least squares; adding frequency-difference-of-arrival with moving receivers jointly recovers the emitter's position and velocity, with the Cramér–Rao bound on the position covariance derived from the network geometry. MODELLED (internal-consistency oracles: forward→inverse round-trips, the J·CRLB = I identity, GDOP monotonicity, and the estimator attaining its own CRLB under Monte-Carlo) — a point-source line-of-sight model, no multipath / NLOS, receiver-clock-bias, or refraction terms. |
| Nav-signal & code tracking | The signal level between the link budget and the measurement domain (src/navsignal.rs): unit-area power spectral densities for BPSK-R(n) and sine-BOC(m,n); the spectral-separation coefficient κ = ∫ G_s·G_i df, which derives the anti-jam Q the jamming model uses (Q = 1/(R_c·κ)) from the actual signal/jammer spectra instead of a representative constant; the RMS (Gabor) bandwidth (BOC > BPSK — the ranging-information / Cramér–Rao measure); the coherent early–late DLL code-tracking thermal-noise jitter (Kaplan & Hegarty; ~sub-metre for C/A at 45 dB-Hz); and the multipath error envelope (coherent EML — narrow-correlator suppression). Validated against closed-form anchors (BPSK self-SSC = 2/(3·R_c), unit-area PSDs, sub-metre C/A jitter). This is signal-performance analysis, not antenna / RF-payload hardware design (a payload partner's role). |
| Interoperability | RINEX-3 multi-GNSS broadcast-ephemeris ingestion (GPS, Galileo, QZSS, BeiDou MEO/IGSO via IS-GPS-200; GLONASS via PZ-90 state-vector RK4) usable as a constellation source (RINEX in, PNT geometry out); a RINEX-3/4 observation parser (pseudorange, carrier phase, Doppler, signal strength) that now feeds a single-point-positioning solver (pvt) — real code observations in, a real receiver position out, validated on IGS data; an SP3-c/d precise-ephemeris reader/writer with 9th-order Lagrange interpolation; and CCSDS OEM 2.0 + OMM (mean-elements) export for flight-dynamics tools (GMAT, Orekit, STK); and CCSDS-TDM (503) tracking-data-message parse + emit for deep-space radiometric tracking. |
| Mission analysis (systems engineering) | First-order mission-design budgets, each a runnable kind: two-body launch & ascent geometry (launch-window — launch azimuth sin Az = cos i/cos lat, minimum inclination, Earth-rotation bonus, dogleg plane-change Δv, daily opportunities; src/launch.rs); an Allen–Eggers ballistic re-entry corridor (reentry — peak deceleration, peak-g velocity/altitude, peak-heating velocity; src/reentry.rs); Earth-observation coverage geometry (eo-coverage — swath / nadir GSD / off-nadir access / revisit via the SMAD space triangle; src/eo_payload.rs); a 3-DOF attitude & pointing error budget (attitude-budget — worst-case gravity-gradient torque + RSS pointing budget; src/attitude_budget.rs); ground-station pass prediction (passes — AOS/TCA/LOS, max elevation, access time; src/passes.rs); and a one-way link budget over the CCSDS 401 / DSN 810-005 link equation (link-budget — FSPL, C/N₀, Eb/N₀, margin, closure; src/linkbudget.rs). MODELLED first-order analytic budgets — the pre-hardware layer below STK/GMAT/Basilisk, not a 6-DoF or radiometric replacement. |
| Decision analysis & trade-off (MCDA) | A full multi-criteria decision-analysis suite (src/mcda/) spanning all four method families — value aggregation (WSM, WPM, WASPAS), distance-to-ideal (TOPSIS), compromise programming (VIKOR), and outranking (PROMETHEE II, ELECTRE I), plus ratio-system MOORA and proportional COPRAS — with AHP pairwise-comparison priority weighting (Consistency Ratio), a Pareto non-dominated front, weight-sensitivity analysis, and multi-attribute utility scoring. The nine aggregators reproduce the independent third-party libraries pymcdm (WSM / WPM / WASPAS / MOORA / TOPSIS / VIKOR / PROMETHEE II) and pyDecision (ELECTRE I, COPRAS) to < 1e-9, and the AHP priority vector + Consistency Ratio match Saaty's Random-Index table and the SciPy/LAPACK principal eigensolver to < 1e-9 (tests/mcda_*_reference.rs). VALIDATED — the decision layer under the trade-study engine. |
| Space environment | A space-weather environment model (space-weather, src/space_weather.rs): solar (F10.7 / centred-81-day F10.7a) and geomagnetic (Kp, with the definitional Kp↔ap table) activity indices, the Jacchia-1971 exospheric temperature they drive (validated vs published solar min/mean/max), and the activity-corrected vs static thermospheric neutral density at altitude — the solar-cycle density dependence the static USSA76 atmosphere omits. MODELLED: a calibrated first-order scale-height coupling, not a data-validated (NRLMSISE) atmosphere. |
| AI/ML evaluation & trade | An RF-impairment detection evaluation testbed (impairment-eval, src/impairment_eval.rs): a labelled, parameter-grounded synthetic corpus (nominal / jamming / spoof-time / spoof-position / multipath), a detector-agnostic ROC/AUC harness scoring any detector (energy | agc | sqm | parity | fused) with per-class Pd at a target Pfa, and the in- vs out-of-distribution optimism gap (distribution-shift mode). Plus a quantum-vs-classical PNT trade (quantum-trade, src/quantum_trade.rs) quantifying a candidate clock's timing/inertial holdover benefit from a measured-ADEV curve vs a classical baseline, with the long-τ floor caveat carried on the artifact and a GNSS-denied resilience-vs-time envelope. The evaluation metrics (AUC / confusion / Pd-Pmd) are validated to an exact match against scikit-learn 1.9.0 — including on real ESA OPS-SAT telemetry (the OPSSAT-AD dataset, Ruszczak et al. 2025, CC BY 4.0), where Kshana's Mann–Whitney ROC AUC reproduces scikit-learn's roc_auc_score to < 1e-9 on the held-out test split and a transparent peak-count detector separates the labelled anomalies at AUC ≈ 0.85 (tests/opssat_ad_reference.rs) — and the trade engine's numerical kernels (ADEV NNLS fit, χ² consistency bands, van-Loan clock Q) against scipy 1.17.1; the device-benefit numbers built on top stay MODELLED operating characteristics — never field/IQ data, no good/bad verdict. Building on the testbed, a deeper optimism-gap study (src/impairment_study.rs, impairment_ml.rs, eval_stats.rs) scores a 13-detector panel (energy/AGC/SQM/parity plus seeded logistic-regression and one-hidden-layer-MLP detectors), fits in- vs out-of-distribution scaling laws with a permutation null, and learns a leave-one-out predictor of out-of-distribution degradation from in-distribution statistics (cargo run --example optimism_study). A software-defined-receiver front end (src/sdr.rs — raw IQ/IF → correlator early/prompt/late taps → SQM) and real-data ingest adapters (src/realdata/ — RINEX, u-blox UBX, GnssLogger, JammerTest, Yunnan, SatGrid) let the same detectors run over recordings supplied locally (no datasets are committed). The quantum-vs-classical resilience crossover map under parameter uncertainty (src/crossover.rs; cargo run --bin crossover_study) regenerates the inertial and clock crossover studies behind the Results figures. |
| Quantum-Enabled PNT demonstrator | Three runnable, MODELLED application areas behind the open engine, each emitting honest TradeEvidence + a representativeness / gaps-to-flight record (src/representativeness.rs): trusted quantum time transfer (quantum-time-transfer, src/timetransfer_chain.rs — an end-to-end optical-lattice-clock + photonic-link vs CSAC + RF two-way budget, with a reused timing protection level, a delay/replay-attack security FoM (1 − P_md), and clock-anomaly detection + CUSUM latency); GNSS-free quantum navigation (quantum-gnss-free-nav, src/quantum_nav_od.rs — a cold-atom-interferometer inertial coast vs a navigation-grade INS over a GNSS outage, honest that with no external fix the accelerometer bias is unobservable so the error still grows); and quantum-system fault/anomaly detection (quantum-anomaly-detect, src/quantum_faults.rs — a labelled fault catalogue with a bootstrap-CI ROC AUC from the externally-validated eval_stats and a minimum-detectable-fault at a fixed false-alarm rate). A shared quantum device error-model library (src/quantum_devices.rs) and a unified quantum-vs-classical trade harness (src/qtrade.rs) underpin them. The validated kernels they ride (eval-metrics vs scikit-learn, trade kernels vs scipy) are reused; the device-benefit numbers built on top stay MODELLED — illustrative public-source device/link parameters, models the class, no TRL / flight heritage / certification, no agency endorsement. |
| Frugal engineering & integrity impact | A cost-per-coverage ROI lens (src/frugal.rs) — cost per unit of delivered coverage for an architecture trade — and a detection-miss → integrity-impact mapping (src/integrity_impact.rs) that turns a monitor's missed-detection rate into its integrity-risk contribution. MODELLED decision-support budgets, additive. |
| Artifact interchange | The Kshana Interchange Format (KIF) (src/interchange.rs) — a versioned, self-describing envelope wrapping a scenario result with its kind, schema version, and MODELLED/VALIDATED labels, so a stored artifact stays self-documenting and older envelopes remain forward-compatibly readable. |
Each capability is reachable as a Rust API, a runnable scenario kind, or both.
Maturity per capability — validated, runnable, or library — is tracked in
docs/CAPABILITY.md. A machine-checked verification matrix
(src/verification.rs) renders the requirement → module → test → oracle → status
cross-reference, with unit-tested honesty invariants that permit a validated label
only where an independent external oracle backs it — and that record the
hardware/PA capabilities Kshana deliberately does not provide.
Results
Each scenario compares a quantum sensor against its classical counterpart through a
~1.8 h GNSS outage. Numbers are reproducible (scenario + seed + version).
The advantage is outage- and vibration-dependent, with an explicit break-even where classical wins — shown honestly across the technology-readiness ladder (optical-clock figures are ground-demonstrator targets; no strontium optical clock has flown):
<p align="center"> <img src="paper/crossover/clock.png" alt="Quantum-vs-classical clock-holdover crossover across the technology-readiness ladder, with confidence bands" width="62%"> <br> <img src="paper/crossover/inertial.png" alt="Quantum-vs-classical inertial advantage heatmap over outage duration and vibration, with a break-even contour where classical wins" width="96%"> <br><sub>Quantum-vs-classical resilience crossover — clock holdover TRL ladder (top) · inertial advantage map with break-even contour (bottom). Regenerable via <code>cargo run --release --bin crossover_study</code>.</sub> </p> <p align="center"> <img src="docs/assets/inertial-deadreckoning.svg" alt="Inertial dead-reckoning: position error during a GNSS outage — the quantum (cold-atom) sensor stays near the spec line while the navigation-grade sensor diverges to tens of kilometres" width="80%"> <br><em>Dead-reckoning position error during a GNSS outage: the quantum sensor (blue) stays flat near the spec; the classical sensor (red) diverges to tens of kilometres. Generated by Kshana from <code>scenarios/imu-deadreckoning.toml</code>.</em> </p>| Pack | Scenario | Quantum | Classical |
|---|---|---|---|
| 1 — Clock holdover | clock-holdover.toml (20 ns spec) | optical clock holds the full outage | CSAC breaches the spec mid-outage |
| 2 — Inertial dead-reckoning | imu-deadreckoning.toml (100 m spec) | cold-atom: ~41 m, holds full outage | nav-grade: breaches in ~350 s → tens of km |
| 3 — Time transfer (optical inter-satellite link) | timetransfer.toml | optical: ~0.3 mm ranging | RF (TWSTFT): ~150 mm ranging |
| 4 — Hybrid fusion (capstone) | hybrid-pnt.toml | full position+timing for the whole outage | position-limited at ~350 s |
The capstone shows the fusion thesis: optical inter-satellite time-transfer keeps even a classical clock locked, isolating the inertial sensor as the classical suite's weak link — i.e. quantum inertial + optical timing together.
<p align="center"> <img src="docs/assets/clock-holdover.svg" alt="Clock holdover: phase error during a GNSS outage — the optical clock stays within the 20 ns spec for the whole outage while the chip-scale clock breaches it mid-outage" width="80%"> <br><em>Clock holdover through a GNSS outage: the optical clock (blue) stays inside the 20 ns spec for the full coast; the chip-scale clock (red) breaches it part-way. Generated by Kshana from <code>scenarios/clock-holdover.toml</code>.</em> </p>A further scenario, orbit-gnss-challenged.toml, derives GNSS availability from
orbital geometry rather than hand-authored windows: a spacecraft inside the GNSS
shell is propagated against a GPS-like Walker constellation, and the visible-satellite
count (line-of-sight, Earth-occultation, elevation mask) sets the fix state at each
step. Over a day the user is in fix only ~59% of the time; the quantum clock holds a
5 ns timing solution through every gap (availability 1.0), the chip-scale clock
only ~0.83.
The constellation can also be given as real two-line element sets. A full TLE
(line 1 + line 2) is propagated with the full SGP4/SDP4 model — including
atmospheric drag and the deep-space lunar-solar and 12 h / 24 h resonance terms that
matter for ~12 h GNSS orbits — validated against the official AIAA 2006-6753 vectors
to a worst-case ≈ 4 mm. scenarios/orbit-sgp4-gps.toml ships a real Celestrak
gps-ops snapshot of the operational GPS constellation (2021-07-28, 30 satellites)
and requires valid TLE checksums — two-line element sets are open data from the US
Space Force / 18th Space Defense Squadron catalogue, redistributed by Celestrak
(Dr T. S. Kelso, celestrak.org); refresh with
scripts/fetch_tles.sh. A line-2-only block keeps
the analytic two-body propagation (scenarios/orbit-real-tle.toml); the two forms can
be mixed in one constellation. A constellation can equally be built from a block of
RINEX-3 GPS broadcast-ephemeris records — the format a receiver decodes —
propagated by the IS-GPS-200 user algorithm and fed through the same geometry
(scenarios/orbit-rinex.toml).
Install & build
Requires a Rust toolchain (≥ 1.75; developed on 1.93).
git clone https://github.com/ashfordeOU/kshana
cd kshana
cargo build --release
cargo test # all tests pass
Usage
Run any scenario; the CLI dispatches on the scenario's kind field and writes a
<scenario>.result.json and a <scenario>.chart.svg next to it:
cargo run -- scenarios/clock-holdover.toml
cargo run -- scenarios/imu-deadreckoning.toml
cargo run -- scenarios/timetransfer.toml
cargo run -- scenarios/hybrid-pnt.toml
cargo run -- scenarios/orbit-gnss-challenged.toml
cargo run -- scenarios/orbit-sgp4-gps.toml
cargo run -- scenarios/orbit-rinex.toml
cargo run -- scenarios/integrity-raim.toml
# Export a propagated constellation to an SP3-c precise-ephemeris file:
cargo run -- scenarios/orbit-sgp4-gps.toml --export-sp3 gps.sp3
# Export the constellation's mean elements to a CCSDS OMM catalogue (one OMM
# message per TLE-defined satellite, with its real NORAD id / COSPAR designator):
cargo run -- scenarios/orbit-sgp4-gps.toml --export-omm gps.omm
# Export the velocity-carrying state to a CCSDS OEM 2.0 ephemeris (GMAT/Orekit/STK):
cargo run -- scenarios/orbit-sgp4-gps.toml --export-oem gps.oem
Other CLI modes — lint a scenario, feed real Earth-orientation data, or run a whole suite:
# Lint a scenario without running it (checks the kind + required fields):
cargo run -- --validate scenarios/integrity-raim.toml
# Feed a real IERS Earth-orientation file (finals2000A) for frame precision:
cargo run -- scenarios/orbit-sgp4-gps.toml --eop tests/fixtures/agency/eop/finals2000A_2022001.txt
# Run a SUITE of scenarios into one aggregated, stamped study artifact
# (writes <suite>.study.json + <suite>.study.html next to the manifest):
cargo run -- --study scenarios/quantum-pnt-demonstrator.suite.toml --study-name "Quantum-Enabled PNT demonstrator"
A suite manifest is a small TOML — a title and a scenarios = [ … ] array of
scenario paths — that the engine runs in turn, folding every result (with its
MODELLED / VALIDATED labels) into one self-describing study artifact. See
scenarios/quantum-pnt-demonstrator.suite.toml.
Interoperability role. Kshana is the performance-simulation layer that sits
alongside the post-processing toolchain, not a replacement for it: feed its RINEX
output into RTKLIB or gLAB for a position solution, and use its SP3 output as a
precise-orbit product for tools like Ginan — Kshana answers what resilience a given
PNT architecture buys before you have real signals, in formats those tools already
ingest (--export-sp3, or export_sp3 = true in an orbit scenario, writes
<scenario>.sp3). The same orbit can be published as standards-track CCSDS OMM
mean elements (--export-omm, or export_omm = true, writes <scenario>.omm) —
one OMM 502.0 KVN message per TLE-defined satellite, carrying each object's real
NORAD catalogue number, COSPAR international designator, and epoch, for any
OMM-aware consumer instead of a bespoke two-line element set.
Example output (clock holdover — note the Integrity and Security figures of merit):
scenario c827e5d40d25 | quantum holdover 6600s p95 0.0ns integrity 1.000 security 0.997 | classical holdover 2610s p95 19.7ns integrity 1.000 security 0.000
wrote scenarios/clock-holdover.result.json and scenarios/clock-holdover.chart.svg
The optical clock's tight detection floor keeps security 0.997; the chip-scale
clock's own noise over the monitoring window exceeds the 20 ns spec, so it has no
spoof-detection margin (security 0.000). The orbit scenario additionally reports a
geometry block — fraction of samples with a fix, and best/median PDOP and position
accuracy — alongside the clock result.
Read these two numbers carefully.
securityis an analytic spoof-detectability bound derived from each clock's stability — it is meaningful only against a configured spoofing scenario and is not a multi-satellite RAIM detector.integrityhere is the filter's self-consistency (fraction of outage samples inside its own k-sigma bound), not an aviation HPL/VPL integrity figure. Seedocs/INTEGRITY.md.For genuine receiver-autonomous integrity, the
integrityscenario kind (scenarios/integrity-raim.toml) runs real snapshot and solution-separation (ARAIM-style) RAIM over the propagated constellation geometry: it computes horizontal/vertical protection levels (HPL/VPL) per epoch and reports the fraction of epochs that meet the configured alert limits, with a Stanford integrity diagram for error-vs-PL classification.
Reproducible study artifacts
Four open studies each regenerate a byte-deterministic artifact (fixed seed) from one command — the numbers behind the quantum-vs-classical crossover, RF-impairment optimism-gap, PNT-resilience-scoring, and timing-protection-level studies:
# Quantum-vs-classical resilience crossover map (writes paper/crossover/*.json):
cargo run --release --bin crossover_study -- paper/crossover
# RF-impairment optimism-gap study (13-detector panel, scaling laws, LOO predictor):
cargo run --release --example optimism_study -- paper-artifacts/optimism-study.json
# Framework-aligned PNT-resilience scoring + decision-instability study:
cargo run --release --example resilience_report -- paper-artifacts/resilience-study.json
# Conditional Timing Protection Level, calibrated on a real recorded spoof:
cargo run --release --example tpl_jammertest
Each artifact records its engine version, seeds, and a config hash and carries an honest
MODELLED/VALIDATED label. The real-data probes (*_probe) run the same pipeline over
recordings you supply locally; no datasets are shipped in the repo. The RF-impairment
optimism-gap study is written up in the preprint
arXiv:2606.22054, and the conditional timing
protection level (tpl_jammertest above) in the preprint
arXiv:2606.24210 (see Citing).
Python
An optional Python extension (PyO3, abi3) wraps the same engine. Build and install it with maturin:
pip install maturin
maturin develop --features python # or: maturin build --features python
import json, kshana
result = json.loads(kshana.run(open("scenarios/clock-holdover.toml").read()))
print(result["quantum"]["fom"]["integrity"])
# json, svg, and a one-line summary at once:
result_json, chart_svg, summary = kshana.run_full(open("scenarios/orbit-gnss-challenged.toml").read())
print(kshana.version(), summary)
Beyond run / run_full / version, the module exposes run_typed (a structured
result object), validate_toml (lint → list of error strings), list_kinds /
scenario_kinds (the dispatchable kinds), and error_kind (the KshanaError tag for
a rejected scenario) — see docs/PYTHON_API.md.
Wheels are built for Linux, macOS, and Windows by the wheels workflow on each
release tag.
WebAssembly
The engine also runs in the browser via wasm-pack:
wasm-pack build --target web -- --features wasm
import init, { run, chart_svg, version } from "./pkg/kshana.js";
await init();
const result = JSON.parse(run(tomlText));
console.log(version(), result.classical.fom.timing_p95_ns);
The module also exports summary (the one-line result string), list_kinds /
error_kind (introspection), and encode_permalink / decode_permalink — the
shareable-URL codec the playground uses to round-trip a whole scenario through the
address-bar fragment.
AI agents (MCP)
Kshana ships an MCP server, kshana-mcp,
so AI assistants and agents can run the validated engine instead of guessing the
math — usable from Cursor, JetBrains AI Assistant / Junie, and any MCP-compatible
assistant or agent. It exposes run_scenario, list_scenario_kinds,
validate_scenario, export_sp3, and export_omm (each a thin wrapper over
kshana::api).
cargo install kshana-mcp # crates.io
docker run --rm -i ghcr.io/ashfordeou/kshana-mcp # or OCI, no Rust toolchain
Then register kshana-mcp in your client's mcpServers config. In Claude Code it's one
command — claude mcp add kshana -- kshana-mcp — or install the plugin:
/plugin marketplace add ashfordeOU/kshana then /plugin install kshana@ashforde.
Copy-paste config for Claude Code, Claude Desktop, Codex, Cursor, VS Code, Windsurf and
JetBrains is in docs/integrations.md (per-client snippets also in
mcp/kshana-mcp/README.md). The
server is a standalone, workspace-excluded crate (the rmcp SDK is edition 2024), so it
never affects the lean published kshana crate or its build.
In a JetBrains IDE you can also install the
Kshana — PNT simulator
plugin from the JetBrains Marketplace (or Settings → Plugins → Marketplace → search
"Kshana") to run scenarios from a right-click — see ide/jetbrains/.
Scenario format
Scenarios are declarative TOML. A top-level kind selects the pack — forty-four in
all (clock is the default if omitted): inertial, timetransfer, hybrid, hybrid-ukf, fusion,
gnss-ins, orbit, ephemeris, gnss-sim, integrity, lunar-integrity, lunar-time-offset, spoof,
spoof-detect, jamming, sweep, sweep-nd, gravity-map, terrain-nav, terrain-slam,
combined-altpnt, pvt, mars-pnt, impairment-eval (AI/ML RF-impairment detection
evaluation testbed — labelled synthetic corpus + detector-agnostic ROC/AUC harness +
in/out-of-distribution optimism gap), quantum-trade (quantum-vs-classical PNT
trade with measured-ADEV ingestion + GNSS-denied resilience envelope; MODELLED),
space-weather (solar/geomagnetic indices + Jacchia-71 exospheric temperature +
activity-driven thermospheric density over the static atmosphere; MODELLED),
oem-interop (CCSDS OEM import/round-trip bridge for GMAT/Orekit/STK ephemerides;
MODELLED), the mission-analysis trio launch-window (two-body launch azimuth /
plane-change / opportunities), reentry (Allen-Eggers ballistic re-entry corridor),
eo-coverage (EO swath / GSD / access / revisit geometry), space-packet (CCSDS
133.0 TM/TC Space Packet framing — exact bit layout, round-trip verified), and
attitude-budget (3-DOF gravity-gradient torque + RSS pointing error budget),
passes (ground-station rise/set pass prediction — AOS/TCA/LOS, max elevation,
access), and link-budget (one-way CCSDS/DSN link equation — FSPL / Eb·N₀ /
margin / closure); the lunar-PNT suite lunar-vlbi, lunar-joint-od-clock,
lunar-frame-realisation, moonlight-service-volume, lunar-differential-pnt,
lunar-interop-export; and the Quantum-Enabled PNT demonstrator
quantum-time-transfer, quantum-gnss-free-nav, quantum-anomaly-detect — the
mission-analysis trio and these later kinds all MODELLED.
Common fields: seed, a [time] grid, a [gnss] availability timeline (the outage
driver), and per-sensor blocks with provenance strings citing the source of every
figure. Example (clock):
seed = 42
threshold_ns = 20.0
[time]
step_s = 10.0
duration_s = 7200.0
[gnss]
windows = [
{ t0 = 0.0, t1 = 600.0, state = "nominal" }, # 10 min GNSS sync
{ t0 = 600.0, t1 = 7200.0, state = "denied" }, # ~1.8 h outage
]
[clock_quantum]
id = "optical-sr-lattice"
provenance = "Strontium optical lattice clock, space-oriented goal sigma_y(1s)=1e-15 (arXiv:1503.08457)"
y0 = 5.0e-17
q_wf = 1.0e-30 # white FM: q_wf = sigma_y(1s)^2
q_rw = 0.0 # random-walk FM
drift = 0.0 # linear aging (per second)
[clock_classical]
id = "csac-sa45s"
provenance = "Microchip SA65 / SA.45s CSAC datasheet sigma_y(1s)=3e-10"
y0 = 5.0e-10
q_wf = 9.0e-20
q_rw = 0.0
drift = 0.0
Optional fields (off when absent): a clock may add flicker_floor (1/f FM Allan
floor); an inertial sensor may add gyro_bias and q_arw (gyro bias and angular
random walk), and bias_instability and q_aa (the Allan bias-instability floor and
acceleration random walk) — together a single-axis (1-DOF) accelerometer error
budget (VRW/ARW and bias-instability). This is the error budget the shipped
inertial scenario pack runs. Separately, the library now carries a verified
3-axis strapdown navigator (src/inertial/{attitude,mechanization,imu_errors}.rs):
quaternion attitude with coning/sculling compensation, a full NED mechanization
(Earth-rate and transport-rate terms, WGS-84 Somigliana gravity), and a
deterministic IMU error model in which scale-factor, misalignment,
g-sensitivity, quantization, and rate-ramp are modelled (IEEE Std 952-1997
§A.2; Groves 2013 §4.3). That 3-axis path is now wired into a runnable
loosely-coupled GNSS/INS pack (kind = "gnss-ins"): a 15-state error-state EKF
disciplines the strapdown solution against noisy fixes while GNSS is up, then
coasts through the outage, reporting the fused horizontal error against the
open-loop free-INS coast. A tightly-coupled pseudorange update is also
available (it forms the innovation in the range domain, so it keeps correcting
with fewer than four satellites). A
clock-holdover scenario may add runs (> 1) to run a Monte Carlo ensemble — each
figure of merit is then reported as a mean with a 5th–95th-percentile spread and the
chart shades the error confidence band (see scenarios/clock-ensemble.toml).
A fusion scenario (same blocks as hybrid) runs two independent Kalman estimators
— one for the clock state, one for the position state — disciplined by GNSS and aided by
optical time transfer, and reports a combined holdover FoM. The two blocks share no
cross-covariance: this is a stacked pair of error budgets, not a true coupled
clock+position joint filter (cross-block covariance is a roadmap item). See
scenarios/fusion-pnt.toml.
A spoof scenario injects a time-spoof — one of four [attack.shape] kinds
(linear_ramp, step_jump, meaconing, replay; a bare rate_ns_per_s is still
accepted as a linear ramp) — and runs each clock's spoof detector. The detector is a
two-sided χ²₁ energy / Neyman–Pearson test on the clock-aided monitor statistic:
the threshold is set from a target false-alarm budget target_pfa, and the
missed-detection probability P_md is reported both closed-form and by
Monte-Carlo (mc_runs trials per hypothesis — the two agree to a few ×1/√N). The
Security figure of merit is 1 − P_md at the operationally-harmful (spec)
magnitude, so a quiet clock that catches a spec-sized spoof scores ≈ 1 and a noisy
one that often misses it scores lower (see scenarios/spoof-attack.toml,
scenarios/spoof-meaconing.toml).
A gnss-sim scenario is a measurement-domain simulation: for each visible
satellite it synthesises the pseudorange ρ = geometric range + c·δt_rx − c·δt_sv + I + T + noise + multipath and the L1 Doppler, with the Klobuchar single-frequency
ionosphere ([iono], IS-GPS-200 §20.3.3.5.2.5) and the Saastamoinen zenith
troposphere projected by the Niell (1996) mapping function ([tropo]). The
residuals feed snapshot RAIM for per-epoch HPL/VPL, and every satellite's
pseudorange, Doppler, C/N₀, and iono/tropo corrections are emitted in the JSON
gnss_measurements array. It is a forward simulator (it generates measurements from
a known truth), not a receiver/solver — a zero-noise run reproduces geometry plus the
corrections to sub-millimetre (see scenarios/gnss-sim-raim.toml).
A jamming scenario models RF interference as a link budget: a [jammer]
(ECEF position, transmit power_dbw, type) raises the jammer-to-signal ratio at a
[receiver] watching a Walker [constellation]. From the geometry (free-space
path loss and the per-direction receive-antenna gain) it computes each satellite's
J/S, the effective C/N₀ via the standard anti-jam equation (despreading
processing gain × the spectral-separation factor Q; Kaplan & Hegarty §9.4), and
flags loss of lock below a configurable tracking threshold — reporting an
availability_under_jamming figure of merit. A 10 W broadband jammer at 1 km
denies the receiver entirely (J/S ≈ 72 dB); the same jammer at 100 km only
degrades the links (see scenarios/jamming-demo.toml).
A sweep scenario runs a trade study: it varies one parameter (threshold_ns,
duration_s, quantum_q_wf, or classical_q_wf) from start to stop over steps
points on a lin or log scale, records a metric (e.g. holdover_s) for both
clocks, and charts the two curves. The base scenario goes under [base] (see
scenarios/sweep-clock-stability.toml).
A sweep-nd scenario generalises this to any pack and any number of axes: it
varies dotted TOML keys of a [base] scenario (of any kind) over the Cartesian
product of [[axes]], re-runs each grid node, and records metrics given as
dotted JSON paths into the result (e.g. classical.fom.holdover_s). It works for
every pack because it operates at the TOML/result boundary; native runs evaluate
the grid in parallel (no extra dependency, wasm falls back to sequential) and the
output is deterministic and row-major (see scenarios/sweep-nd-inertial.toml).
An orbit scenario derives the [gnss] timeline from geometry instead of authoring
it — give a [user] orbit, a [constellation], an elevation mask_deg, and the two
clock blocks. It also reports position accuracy from the satellite geometry; the
optional sigma_uere_m (1-sigma user-equivalent range error, default 1 m) scales the
position dilution of precision into a position sigma. The user orbit may be made
eccentric with eccentricity and argp_deg, and j2 = true adds Earth-oblateness
secular drift (see scenarios/orbit-molniya.toml). The constellation can instead be a
real one: give [constellation] a tle block of two-line element sets and the
satellites are parsed from it (see scenarios/orbit-real-tle.toml). Add one or more
[[constellations]] blocks for multi-GNSS (e.g. GPS + Galileo; see
scenarios/orbit-multignss.toml):
kind = "orbit"
seed = 7
threshold_ns = 5.0
mask_deg = 10.0
sigma_uere_m = 1.0 # optional; position sigma = position-DOP * this
[time]
step_s = 60.0
duration_s = 86400.0
[user] # spacecraft (altitude in km, angles in deg)
altitude_km = 8000.0
inclination_deg = 0.0
[constellation] # Walker-delta GNSS (GPS-like)
altitude_km = 20180.0
inclination_deg = 55.0
planes = 6
sats_per_plane = 4
phasing_f = 1.0
[clock_quantum] # ... as above
[clock_classical] # ... as above
The GPS-denied alt-PNT kinds navigate with no GNSS at all, matching a measured field
sequence against a map through a particle filter. A gravity-map scenario flies a track
through a spherical-harmonic gravity-anomaly field and recovers it from a cold-atom
gravimeter's reading (scenarios/gps-denied-gravity-nav.toml); a terrain-nav scenario
does the same against an SRTM elevation DEM (TERCOM/SITAN, scenarios/terrain-nav.toml);
and a combined-altpnt scenario fuses gravity + IGRF magnetic + terrain in one filter
(scenarios/combined-altpnt.toml).
A lunar-integrity scenario evaluates cislunar PNT: it runs a lunar south-pole
ARAIM protection-level pass against a LunaNet/LNIS relay set and honestly reports the
integrity gap — a ~30 m lunar σ_URE drives the protection level well above a 50 m alert
limit, so the service is unavailable under aviation-style integrity rules
(scenarios/lunanet-araim.toml).
A lunar-time-offset scenario reports the relativistic Earth–Moon clock rate — the
basis of a Lunar Coordinate Time scale (LTC/TCL). A first-principles post-Newtonian
identity sums the self-potential difference (IAU L_G geoid potential minus the Moon's
surface self-potential) and the Moon's kinetic (second-order Doppler) term to a secular
rate of ≈ 57 µs/day, reported with the published 56–59 µs/day band; it also gives the
accumulated LTC−TT offset over a horizon and an inverse-variance ensemble (a lunar
paper-clock). MODELLED — the headline figure is reference-dependent (Earth geoid
vs lunar selenoid, averaging window), which is why a band, not a single certified
number, is reported (scenarios/lunar-time-offset.toml).
See scenarios/ for at least one worked example of every kind (44 kinds, 56 scenario
.toml files + 1 suite manifest — several kinds ship more than one example). A few kinds have an example file
whose name differs from the kind: lunar-integrity → scenarios/lunanet-araim.toml,
gravity-map → scenarios/gps-denied-gravity-nav.toml. List the dispatchable kinds at
any time with cargo run -- --validate <file> errors, the Python list_kinds(), or the
MCP list_scenario_kinds tool.
Output
The result artifact is versioned, self-describing JSON: per-step time series, the
scored figures of merit, the active model specs (with provenance), the seed, a
scenario hash — so any chart can be reproduced from the file — and, for each clock,
an adev_curve ([{tau_s, adev, n_samples, noise, edf, ci_lo, ci_hi}]): the overlapping
Allan deviation across octave-spaced averaging times — the standard way to read a clock's
stability — now with a noise-type-specific 95% confidence band per point (the record's
power-law type is identified from its modified-Allan slope, and the χ² interval uses the
matching NIST SP 1065 effective degrees of freedom). The browser playground renders it as a
log-log "Clock stability (ADEV)" chart. (MDEV, TDEV, and HDEV are available as library
estimators; the exported result curve is the overlapping ADEV.) Every field, with units and a
source pointer, is documented in docs/SCHEMA.md.
Every chart is self-describing. The browser playground, the CLI's *.chart.svg
export, and the HTML scorecard all stamp each chart image with a footer reading
Kshana v<version> · scenario <hash> · kshana.dev. The scenario <hash> is the first
12 hex characters of the run's scenario hash — a SHA-256 over the canonical scenario
definition (seed, thresholds, model parameters, GNSS windows, …); the integrity and lunar
reports, which carry no hash of their own, fall back to a SHA-256 of the scenario source.
It is the same fingerprint shown in the one-line summary and the result JSON, so a
saved or pasted chart always carries its version, the exact scenario that produced it (for
bit-for-bit reproduction), and the source — change any input and the hash changes.
The figures of merit follow the standard operational PNT figures of merit:
| Figure of merit | How Kshana computes it |
|---|---|
| Timing Performance (clock/orbit packs) | clock-phase error RMS + 95th-percentile over the outage, in nanoseconds (timing_rms_ns) — a timing metric, not position |
| Positioning Performance (inertial/hybrid packs) | 1-DOF position-error RMS + 95th-percentile over the outage, in metres (pos_rms_m); single-axis. A single run is flagged monte_carlo: false; set runs = N for a Monte Carlo ensemble that reports each metric's mean, spread, and bootstrap 95% CI. Still not a 2-D CEP/2DRMS or DOP-weighted accuracy (those need the 3-axis model — roadmap) |
| Autonomy | holdover duration — time in-spec after GNSS loss (grid-quantised: a lower bound) |
| Resilience | error-growth slope during the outage |
| Availability | fraction of the run with an in-spec solution |
| Integrity | filter self-consistency — fraction of outage samples whose error stays inside the Kalman filter's own k-sigma bound. Not an aviation HPL/VPL/RAIM integrity figure (see docs/INTEGRITY.md) |
| Security | analytic spoof-detectability bound from clock stability — how small/slow a time-spoof a single-clock consistency monitor could flag. Meaningful only with a configured attack; not a multi-satellite RAIM detector |
New to these terms? Each is defined in plain language in the glossary.
Architecture
One engine, many front doors. A single Rust core (kshana) runs every scenario,
reached through a CLI, a Python extension, an in-browser WebAssembly module, an MCP
server for AI agents, and a JetBrains IDE plugin — all converging on one
api::run_toml dispatch. Inside, the sensor packs plug into a common error-model
interface; alongside them sit a reference-frame layer (IAU 2006/2000A
precession–nutation and the CIO-based GCRS↔ITRS reduction), an astrodynamics/numerical
layer (analytic SGP4/SDP4 and a numerical Cowell propagator with its
EGM2008/perturbation force model, maneuver design, and orbit determination), an
integrity/GNSS layer (RAIM/ARAIM, SBAS, the measurement domain, jamming, cislunar),
a fusion / alt-PNT layer (the GNSS/INS estimators and the gravity/terrain/magnetic
map-matchers), a deep-space & lunar layer (radiometric Mars-PNT and the MODELLED
lunar PNT suite — LTC time, VLBI, joint OD+clock, frame realisation, service-volume,
differential PNT, interop), a mission-analysis layer (launch / re-entry / coverage /
pointing / pass / link budgets and the space-weather environment), and the open
resilience & AI/ML study layer (RPCF resilience scoring, the RF-impairment optimism
gap, and the quantum-enabled PNT demonstrator) whose reproducible artifacts ride the
validated kernels.
Two standalone, workspace-excluded crates sit beside the core — mcp/kshana-mcp
(the MCP server, built on the edition-2024 rmcp SDK) and xval/anise-frames (the
ANISE/SPICE frame cross-check, which pulls MPL-2.0 deps) — kept out of the published
crate's dependency graph, Cargo.lock, license gate, and MSRV build by the root
Cargo.toml exclude list. The JetBrains plugin (ide/jetbrains) is a separate Kotlin
project. See docs/ARCHITECTURE.md for the full set of diagrams.
flowchart LR
SCN["Scenario (.toml)<br/>seed · GNSS timeline · sensor params"] --> ENG
subgraph ENG["Engine (per step)"]
direction TB
M["Error model<br/>step(): evolve noise state"] --> E["Estimator<br/>GNSS-disciplined holdover"]
E --> F["FoM scoring<br/>vs the 6 figures of merit"]
end
ENG --> OUT["result.json + chart.svg<br/>(reproducible: scenario+seed+version)"]
flowchart TD
cli["CLI · Python · WebAssembly<br/>MCP server · JetBrains plugin"] --> api["api — run_toml<br/>typed dispatch over 44 kinds"]
subgraph shared["Shared core"]
types["types · scenario<br/>GNSS timeline"]
allan["allan — ADEV/MDEV/TDEV/HDEV"]
end
subgraph frames["Time and reference frames"]
ts["timescales · jd2<br/>UTC/TAI/TT/UT1"]
cio["precession · nutation · cio<br/>GCRS to ITRS, SOFA-anchored"]
end
subgraph packs["Sensor packs"]
p1["clock — models · estimator<br/>kalman · security"]
p2["inertial — strapdown INS<br/>quantum-CAI"]
p3["timetransfer — optical/RF<br/>TWSTFT/PPP"]
p4["hybrid — fused PNT suite"]
end
subgraph astro["Astrodynamics and numerical"]
orbit["orbit · walker · sgp4 · tle<br/>geometry to GNSS and DOP"]
prop["propagator · forces<br/>gravity_sh · integrator"]
odm["orbit_determination · maneuver<br/>precise_od — full-force POD"]
end
subgraph intg["Integrity and GNSS"]
raim["raim · sbas — RAIM/ARAIM<br/>HPL/VPL · DO-229E"]
gsim["gnss_sim · ionex · pvt<br/>measurements + SPP fix"]
jam["jamming · navsignal<br/>J/S to C/N0 · anti-jam Q"]
end
subgraph spf["Spoof detection"]
spoof["spoof — time-spoof attack"]
spm["spoof_monitors — AGC power · SQM"]
det["detection — test-stat theory"]
spd["spoof_detect — runnable scenario"]
end
subgraph fnav["Fusion and alt-PNT"]
fus["fusion — EKF · UKF<br/>17-state · coupled"]
alt["gravimeter · mapmatch<br/>particle_filter · altpnt · igrf"]
end
subgraph deep["Deep-space · Mars · Lunar"]
dsr["radiometric · ccsds_tdm<br/>deepspace_od · mars_pnt"]
lun["lunar suite — cislunar ARAIM<br/>LTC time · VLBI · interop"]
end
subgraph resil["Resilience studies and AI/ML"]
tpl["tpl · resilience<br/>conditional TPL + RPCF"]
opt["impairment_* · eval_stats<br/>sdr · realdata · quantum_*"]
end
VER["verification<br/>machine-checked matrix<br/>SINGLE SOURCE OF TRUTH"]
api --> packs
api --> astro
api --> intg
api --> spf
api --> fnav
api --> deep
api --> resil
packs --> shared
astro --> frames
odm --> prop
spoof --> p1
spm --> det
spd --> spm
fus --> p2
alt --> p2
gsim -. uses .-> raim
VER -. cross-refs .-> packs
VER -. cross-refs .-> intg
VER -. cross-refs .-> spf
VER -. cross-refs .-> astro
Components & distribution. The core crate ships through the Rust, Python, and
JavaScript ecosystems; the MCP server and IDE plugin reach AI agents and JetBrains IDEs.
Each vX.Y.Z tag republishes every channel automatically (see
Versioning & releases).
flowchart LR
subgraph repo["One repository"]
core["kshana core<br/>library and CLI"]
mcp["mcp/kshana-mcp<br/>MCP server (excluded crate)"]
ide["ide/jetbrains<br/>Kotlin IDE plugin"]
subgraph xval["xval cross-checks (excluded)"]
anise["anise-frames · lunar-od<br/>mars-od · service-geometry<br/>Rust ANISE / SPICE DE440"]
orekit["orekit-passes<br/>Java Orekit"]
end
end
core --> crates["crates.io"]
core --> pypi["PyPI — wheels"]
core --> npm["npm — WebAssembly"]
core --> rel["GitHub Releases<br/>binaries · SBOM · SLSA<br/>validation summary"]
core --> pages["kshana.dev<br/>GitHub Pages playground"]
core -. archived .-> zen["Zenodo DOI"]
mcp --> crates
mcp --> ghcr["ghcr.io — OCI image"]
mcp --> reg["official MCP registry"]
ide --> jb["JetBrains Marketplace"]
anise -. validates .-> core
orekit -. validates .-> core
Repository layout
kshana/
├── src/ # the kshana core crate (library + CLI)
│ ├── api.rs · main.rs · lib.rs # typed dispatch (44 kinds) + CLI + crate root
│ ├── python.rs · wasm.rs # optional PyO3 / wasm-bindgen bindings
│ ├── types.rs · scenario.rs · allan.rs # shared core (time grid, GNSS timeline, Allan)
│ │
│ ├── models.rs · estimator.rs · kalman.rs # Pack 1 — clock holdover + integrity
│ ├── security.rs · detection.rs · spoof.rs · spoof_monitors.rs # spoof detection
│ ├── filter_health.rs · fom.rs · fom_label.rs · report.rs · chart.rs · run.rs # health · FoM scoring + labelling · output
│ ├── suite.rs · study.rs # scenario suites + aggregated multi-scenario study artifacts (`--study`)
│ ├── inertial/ # Pack 2 — strapdown INS (attitude · mechanization · imu_errors · quantum_imu)
│ ├── timetransfer.rs · timetransfer_adv.rs · timegeo.rs # Pack 3 — TWSTFT/CV/PPP/optical, Sagnac
│ ├── hybrid.rs · ensemble.rs · sweep.rs # Pack 4 — fused PNT, Monte-Carlo, trade sweeps
│ │
│ ├── timescales.rs · jd2.rs · ephem.rs # time systems, two-part JD, Sun/Moon ephemeris
│ ├── precession.rs · nutation.rs · cio.rs # IAU 2006/2000A precession-nutation + CIO GCRS↔ITRS
│ ├── frames.rs · *_data.rs # TEME↔ECEF + generated nutation/CIO/EGM2008/IGRF tables
│ │
│ ├── orbit.rs · sgp4.rs · tle.rs · walker.rs # geometry, SGP4/SDP4, TLE, Walker design
│ ├── propagator.rs · forces.rs · gravity_sh.rs · integrator.rs # Cowell + perturbations (EGM2008 d/o70, GR) + RK4/DOPRI
│ ├── maneuver.rs · batch_ls.rs · orbit_determination.rs # burns/Lambert/porkchop, Gauss-Newton, OD
│ ├── cr3bp.rs · lunar.rs · lunar_frame.rs · lunar_od.rs # Earth–Moon CR3BP + halo/NRHO STM corrector, cislunar/LunaNet ARAIM, MCI↔MCMF, lunar OD
│ ├── lunar_time.rs · lunar_vlbi.rs · lunar_combination.rs · lunar_frame_realise.rs · lunar_service.rs · lunar_dpnt.rs · lunar_interop.rs # MODELLED lunar PNT suite — LTC time · geodetic VLBI · joint OD+clock · frame realisation · Moonlight service-volume · differential PNT · LunaNet/IOAG interop export
│ ├── body.rs · mars_frame.rs · ephem_provider.rs · radiometric.rs · ccsds_tdm.rs # deep-space: multi-body · Mars frame · ephemeris seam · radiometric obs + CCSDS-TDM
│ ├── deepspace_od.rs · clock_state.rs · mars_atmos.rs · mars_pnt.rs · linkbudget.rs · gse_sim.rs # SRIF OD · onboard clock · Mars drag · relay-PNT · link budget · GSE sim
│ │
│ ├── fusion/ # GNSS/INS — EKF · UKF · tightly_coupled(17) · coupled · closed_loop
│ ├── raim.rs · sbas.rs # RAIM/ARAIM HPL/VPL, SBAS DO-229E PLs + L1/L5 iono-free
│ ├── gnss_sim.rs · ionex.rs · pvt.rs · jamming.rs # measurement domain · ionosphere maps · single-point positioning · jamming
│ ├── navsignal.rs # nav-signal PSD (BPSK-R/BOC) · spectral-separation → anti-jam Q · DLL code-tracking jitter · multipath envelope
│ ├── gravimeter.rs · igrf.rs · mapmatch.rs · particle_filter.rs · altpnt/ # gravity/magnetic/terrain alt-PNT
│ ├── rinex.rs · rinex_obs.rs · glonass.rs · sp3.rs · oem.rs · omm.rs · permalink.rs # interop formats
│ ├── launch.rs · reentry.rs · eo_payload.rs · attitude_budget.rs · passes.rs · space_packet.rs # mission-analysis budgets + CCSDS Space Packet
│ ├── space_weather.rs · holdover.rs · tpl.rs # space-weather environment · GNSS-denied clock-holdover calculator · conditional Timing Protection Level (under spoofing)
│ ├── resilience/ # framework-aligned PNT-resilience scoring + decision-instability study (RPCF · Dirichlet · Kendall-τ · diversity collapse · assurance report)
│ ├── impairment_eval.rs · impairment_study.rs · impairment_ml.rs · eval_stats.rs # AI/ML RF-impairment eval testbed · optimism-gap study · LR/MLP detectors · bootstrap/DeLong/Spearman stats
│ ├── sdr.rs · realdata/ # software-defined-receiver front end (IQ/IF → E/P/L taps → SQM) + real-data ingest adapters (RINEX · UBX · GnssLogger · JammerTest · Yunnan · SatGrid)
│ ├── crossover.rs · quantum_trade.rs · frugal.rs · integrity_impact.rs # quantum-vs-classical crossover map · PNT trade · cost-per-coverage ROI · integrity impact
│ ├── quantum_devices.rs · quantum_faults.rs · quantum_nav_od.rs · qtrade.rs · timetransfer_chain.rs · representativeness.rs # Quantum-Enabled PNT demonstrator — device error models · fault catalogue · GNSS-free quantum OD · unified trade harness · quantum time-transfer chain · representativeness / gaps-to-flight ledger
│ ├── interchange.rs · verification.rs # KIF artifact envelope · machine-checked verification matrix
│ └── bin/crossover_study.rs · bin/validation_report.rs # crossover-study artifact generator · release validation-summary HTML
│
├── mcp/kshana-mcp/ # standalone, workspace-EXCLUDED crate — the MCP server (+ Dockerfile, server.json)
├── ide/jetbrains/ # standalone Kotlin/Gradle IntelliJ-Platform plugin
├── xval/ # standalone, workspace-EXCLUDED external cross-checks: anise-{frames,lunar-od,mars-od,service-geometry} (Rust ANISE/SPICE DE440) + orekit-passes (Java Orekit)
│
├── examples/ # reproducible study generators: tpl_jammertest · resilience_report · optimism_study + real-data probes (jammertest_probe · yunnan_probe · satgrid_probe · texbat_probe · ingest_realdata)
├── paper-artifacts/ # byte-deterministic study artifacts, regenerable from examples/ (optimism-study.json · resilience-study.json); raw datasets stay out
├── scenarios/ # one cited .toml per kind + geometry-driven + GPS-denied
├── scripts/ # reproducibility + repo-hygiene + SBOM guards
├── docs/ # CONCEPTS, ARCHITECTURE, CAPABILITY, VALIDATION, PROVENANCE, GLOSSARY, …
├── web/ # the WebAssembly playground + kshana.dev site
├── tools/ # table generators (EGM2008 · IGRF · nutation · CIO) + fetch_tles.sh
├── .github/workflows/ # ci · release · publish · wheels · pages · mcp-publish · jetbrains-plugin · frame-xval
├── pyproject.toml # Python packaging (maturin)
├── CHANGELOG.md # Keep a Changelog + SemVer
└── CITATION.cff · ROADMAP.md · CONTRIBUTING.md · SECURITY.md
Documentation
| Document | For whom | What's in it |
|---|---|---|
| Concepts primer | everyone, start here | what Kshana does and why, from zero to the physics |
| Playground | everyone | run the engine in your browser (WebAssembly); build & deploy notes |
| Glossary | everyone | plain-language definitions of every term |
| Architecture | developers / reviewers | module map, engine pipeline, dispatch, and diagrams |
| Validation status | reviewers / citers | what is validated vs not modeled, with evidence |
| Provenance | reviewers / citers | every sensor parameter, model, and dataset traced to its published source, in one citable table |
| Reproducibility & provenance | reviewers / packagers | determinism guarantees, golden-pinning, SBOM, build provenance |
| Wheel platform tags | packagers | the abi3 Python wheel matrix — which platform tag pip install kshana resolves |
| Positioning | evaluators | where Kshana sits vs RTKLIB/gLAB (complementary), and the zero-install browser tier |
| Technical report · JOSS paper | reviewers / citers / evaluators | the full extended research paper — architecture, per-domain models, validation, case studies, and limitations — plus the concise JOSS submission |
| SGP4 validation | reviewers / citers | agreement with the AIAA 2006-6753 reference (666 states, ~4 mm) and a head-to-head against the independent sgp4 crate (agree to sub-micron / 4.12 mm) |
| Force-model validation | reviewers / citers | the full-force engine (src/precise_od.rs) fit to agency ephemerides — methodology and validated residuals |
| Real TLE guide | users | driving scenarios from real Celestrak / Space-Track constellation TLEs (vs the bundled synthetic Walker set) |
| Integrity FoM | evaluators | what the integrity / security figures mean — and what they are not vs aviation HPL/VPL |
| ARAIM reference | reviewers / integrators | the open MHSS ARAIM protection-level implementation — the b_k nominal-bias projection, σ_URA vs σ_URE, and the fault-mode priors |
| Quantum models · details | reviewers | the cold-atom-interferometer physics layer, and where coefficients are still looked up |
| Compliance | evaluators | DO-229E / DO-316 algorithm scope, and what is not a conformance claim |
| Standards & interoperability | integrators | the GNSS / flight-dynamics / agency interchange formats Kshana reads and writes (RINEX, SP3, CCSDS OEM/OMM/TDM/Space-Packet, …) |
| Result schema | integrators | every field of the result JSON, with units and a source pointer |
| Python API | Python users | the PyO3 binding surface — calling the engine, the scenario/result types, and examples |
| Claims vs reality | reviewers | the overclaim-closure ledger + the CI guard (tests/no_overclaims.rs) that keeps it resolved |
| Roadmap | everyone | the phased roadmap — what has shipped and what is next |
| MCP server · JetBrains plugin | agents / IDE users | run Kshana from an AI assistant or a JetBrains IDE |
| Changelog | everyone | released history (Keep a Changelog + SemVer) |
| Contributing | contributors | build, guards, test/citation discipline, DCO |
| Governance | contributors / community | how Kshana is governed — who decides, how, and the open/closed boundary |
| Code of Conduct | community | expected conduct (Contributor Covenant) |
| Security policy | reporters | how to report a vulnerability; dual-use note |
Validation, reproducibility & honesty
- Every noise term is calibrated to a published, cited figure and validated
against the standard relation (Allan deviation for clocks; Groves' dead-reckoning
error growth for inertial; the timing→ranging conversion for time transfer). Status
per term is tracked in
docs/VALIDATION.mdasvalidatedornot modeled— nothing is presented as validated that is not. - Reproducible by construction:
scenario + seed + engine version → identical bits.scripts/check-reproducible.shenforces it; quantum and classical runs use independent seeds so their noise is uncorrelated. - Maturity is stated honestly: optical-clock and optical-link figures are targets / ground-demonstrator results, not flown.
Validation at a glance
<p align="center"> <img src="docs/assets/diagrams/validation-provenance.png" alt="How a capability earns its label: Requirement maps to a module in src, to a test in tests, to an external oracle (real dataset, independent reference implementation, or published vectors), to a status — with a CI-enforced guard that no capability can be Validated without an external oracle. Live counts: 51 Validated, 47 Modelled, 4 Partner, 102 total" width="900"> <br><sub>How a capability earns its label — the CI-enforced invariant: no external oracle ⇒ cannot be Validated · <a href="docs/assets/diagrams/validation-provenance.svg">SVG</a></sub> </p> <p align="center"> <img src="docs/assets/figures/oracle-kind-stacked.png" alt="How each claim is backed: the Validated column is 51 of 51 ExternalDataset by construction (CI-enforced); Modelled rows are honestly tagged InternalConsistency, ReferenceImpl, or ExternalDataset; Partner rows have no Kshana oracle" width="62%"> <br> <img src="docs/assets/figures/sgp4-regime-bars.png" alt="SGP4/SDP4 worst-case position error vs the AIAA 2006-6753 reference by regime, log scale: every regime is far below the AIAA tolerance, worst case 4.12 mm in the deep-space non-resonant regime" width="96%"> <br><sub>Top: every Validated row is backed by an external dataset, by construction. Bottom: SGP4 matches the official reference in every regime (worst 4.12 mm). <a href="docs/assets/figures/oracle-kind-stacked.svg">SVG</a> · <a href="docs/assets/figures/sgp4-regime-bars.svg">SVG</a></sub> </p>Every row is enforced by a named test in CI. This table is a curated highlight;
the full machine-checked matrix is 102 rows — 51 VALIDATED, 47 MODELLED, 4 PARTNER
(src/verification.rs), with the complete evidence (and what is honestly not yet
validated) in docs/VALIDATION.md and the per-release
kshana-validation-summary.html
artifact (generated by cargo run --bin validation_report, SLSA-attested).
The Status column states the kind of evidence, matching the validation ladder above: VALIDATED = checked against an independent external oracle (real data, an independent library, or published reference vectors); MODELLED = checked against analytic truth or simulation self-consistency (no independent external dataset). VALIDATED describes the method of checking, not a pass/fail — an honest miss against real data (the LRO row) is still VALIDATED. CI rows are process guards, not figures of merit. A few real-data islands (the measured caesium clock, Stable32 PHASE.DAT, and the OPS-SAT/ICGEM checks where the raw inputs carry no redistribution licence) are data-gated: the test prints a skip notice and stays green when the input is absent, and the public reference numbers are committed under tests/fixtures/. Reproduce the raw inputs with the matching scripts/fetch_*.sh.
| Status | Capability | Agreement | Reference / oracle |
|---|---|---|---|
| VALIDATED | SGP4/SDP4 propagation | 666/666 vectors, worst 4.12 mm | AIAA 2006-6753 (Vallado tcppver.out) + head-to-head vs the independent sgp4 crate |
| VALIDATED | Reference frames — IAU 2000A/B nutation, IAU 2006/2000A CIO chain, ERA | bit-for-bit (X,Y to 1e-14, s to 1e-18, ERA to 1e-12) | ERFA/SOFA eraXys06a · eraC2ixys · eraEra00 · eraNut00a/b |
| VALIDATED | GCRS→ITRS vs an independent SPICE engine | max 0.028″ → ≤ 0.86 m ground, ≤ 3.6 m GNSS orbit | ANISE (pure-Rust NAIF/SPICE), same IERS finals2000A EOP, 8 epochs 2020–2023 |
| MODELLED | EGM2008 geopotential (degree/order 70) | acceleration = ∇V to < 1e-6; zonal collapse to validated J2 | NGA EGM2008 coefficients + analytic ∇V identity |
| VALIDATED | Gravity-functional synthesis (gravity-aided / GNSS-free nav map) | GRS80 Somigliana + γ_e/γ_p to 3.5e-12; real EGM2008 disturbance map physical (RMS ≈ 26 mGal, d/o 70) | GRS80 (Moritz 1980, IAG) Somigliana normal gravity + real ICGEM EGM2008 (tests/icgem_gravity_reference.rs) |
| VALIDATED | Allan estimators (ADEV/MDEV/TDEV/HDEV) + confidence bands | reproduce reference deviations; χ² bands match | NIST SP 1065 (Riley), 1000-point Table 31/32 |
| VALIDATED | Allan estimators on a real measured caesium clock | OADEV/OHDEV to 1e-3 (observed ≤ 3e-5), 16 averaging factors | Stable32 on a real 5071A Cs vs H-maser, 556,990 pts (tests/cs5071a_reference.rs, data-gated) |
| VALIDATED | Allan estimators on the canonical Stable32 PHASE.DAT | OADEV/MDEV/TDEV to 1e-3 (observed ≤ 5e-5), 139 averaging factors | Stable32 reference deviations for PHASE.DAT (tests/phasedat_reference.rs, data-gated) |
| MODELLED | IMU error model — ARW / VRW / bias-instability | recovered to < 5 % (bias-instability < 15 %) | Analog Devices ADIS16465 datasheet; NaveGo reference profile |
| VALIDATED | Numerical Cowell propagator + force model (conservative tiers) | worst position error 0.08 m over 24 h, 275 epochs (LEO + GTO) | Orekit 12.2 NumericalPropagator/DormandPrince853 (CS GROUP), tests/numerical_cowell_propagator_reference.rs |
| MODELLED | Cowell drag tier + absolute Sun/Moon-ephemeris & density inputs | drag tier characterised ≈ 333 m / 24 h; unperturbed matches universal-variable Kepler sub-m, energy/momentum ~1e-9 | built-in low-precision ephemeris + analytic Kepler |
| MODELLED | Lambert · Tsiolkovsky · porkchop | round-trip to two-body truth; ΔV < 0.01 % | Izzo 2015 · rocket equation · analytic Hohmann floor |
| MODELLED | Orbit determination (Gauss–Newton batch) | sub-m / mm·s⁻¹ noiseless; ~2 m at a 5 m noise floor | two-body + J2 over an RK4 arc |
| VALIDATED | Force-model fit vs Galileo precise ephemeris (full-arc) | 0.61 m 3-D RMS, 24 h, d/o-70, force-only | ESA/ESOC ESA0MGNFIN final orbit (E11), real finals2000A EOP |
| VALIDATED | Force-model fit vs Swarm-A precise ephemeris (reduced-dynamic) | 0.10 m 3-D RMS (empirical-tier bound, not a measure) | ESA SW_OPER_SP3ACOM_2_ precise orbit |
| VALIDATED | Force-model fit vs LRO lunar (honest miss) | 6.6 m reduced-dynamic, above the 5 m target | JPL Horizons LRO (NAIF −85) + GRAIL GRGM660PRIM |
| MODELLED | Deep-space Mars OD (reduced-dynamic SRIF) | ≈ 0.2 m Mars-LMO (simulation FoM, not real-mission) | synthetic closed-loop OD — estimator-machinery validation |
| **VALI |