Local Level Lab

Airborne measurements. Open methods.

Adding accumulated IMU error to the same saved-trajectory comparison

24/24 calculations completed. The trajectories and receiver assumptions are unchanged. This adds two declared linear-noise examples, without refitting a parameter.

An IMU is an inertial measurement unit. Its random turning and acceleration errors can accumulate into position error. The examples below use isotropic acceleration power density 1e-8 m²/s³ and gyro power densities 1e-12 or 1e-10 rad²/s. These are software sensitivity settings, not measured instrument specifications. The fixed coupling and zero-time noise origin are assumptions of this linear example.

Model Processing Receiver correlation (s) Gyro PSD (rad²/s) Receiver-only distance Distance with added IMU noise
Globe + field Zero removal 10 1e-12 7.120 5.366
Globe + field Zero removal 10 1e-10 7.120 2.905
Globe + field Zero removal 300 1e-12 8.244 6.654
Globe + field Zero removal 300 1e-10 8.244 3.505
Globe + field Profiled removal 10 1e-12 7.135 5.388
Globe + field Profiled removal 10 1e-10 7.135 2.888
Globe + field Profiled removal 300 1e-12 8.269 6.713
Globe + field Profiled removal 300 1e-10 8.269 3.480
Globe, zero field Zero removal 10 1e-12 7.098 5.353
Globe, zero field Zero removal 10 1e-10 7.098 2.898
Globe, zero field Zero removal 300 1e-12 8.230 6.633
Globe, zero field Zero removal 300 1e-10 8.230 3.496
Globe, zero field Profiled removal 10 1e-12 7.112 5.373
Globe, zero field Profiled removal 10 1e-10 7.112 2.880
Globe, zero field Profiled removal 300 1e-12 8.254 6.691
Globe, zero field Profiled removal 300 1e-10 8.254 3.471
Stationary disc Zero removal 10 1e-12 4.906 4.025
Stationary disc Zero removal 10 1e-10 4.906 1.447
Stationary disc Zero removal 300 1e-12 6.381 4.497
Stationary disc Zero removal 300 1e-10 6.381 1.526
Stationary disc Profiled removal 10 1e-12 4.912 4.039
Stationary disc Profiled removal 10 1e-10 4.912 1.450
Stationary disc Profiled removal 300 1e-12 6.409 4.526
Stationary disc Profiled removal 300 1e-10 6.409 1.526

Every comparison checks that adding an independent positive noise covariance cannot increase the noise-scaled separation of the same deterministic means. Raw position differences remain identical. The distances are not p-values, actual likelihood ratios or Earth-model votes.

This checks a supplied constant-coupling linear law. It does not establish the actual IMU noise, its independence, trajectory-dependent propagation, complete nonlinear calibration uncertainty or observational coverage. V01 remains unqualified. The 53-stretch findings and protected ESA data are unchanged.

Frozen scope · Receiver-only comparison · Error assumptions