Doctoral Research · Space Robotics Inspection with a Free-Flying Space Manipulator
A Doctoral Research Journal Aerospace Engineering

CHAIN_13 D1 — H3 closure: shoulder-frame reach at the κ peaks

Pre-registered in tasks/chain13_criteria.md (D1). Primary driver = shoulder-frame reach ‖p_e − p_shoulder‖ (geometric extension margin). The σ witness is listed for sanity only — κ = σ₁/σ₆ makes ‘σ₆ low at κ peaks’ true by construction, so it can never CONFIRM the mechanism. Cliff’s δ: peak windows vs matched control windows, +1 = driver higher at every peak than every control, −1 the reverse.

run peaks reach δ reach @peaks [m] reach @ctrl [m] sj δ (witness)
r0_6dof_path 10 +0.560 ✓ 0.281 0.269 -1.000
r0_6dof_minus2pct 10 -0.060 0.269 0.272 -1.000
r0_6dof_plus2pct 10 +0.040 0.276 0.273 -1.000
r1_7dof_path 10 -0.440 0.196 0.255 -1.000
r1_7dof_minus2pct 10 +0.160 0.191 0.201 -1.000
r1_7dof_plus2pct 10 +0.880 ✓ 0.420 0.239 -1.000
r2_7dof_reactive 10 +0.260 0.372 0.280 -1.000
r3_7dof_anchor 10 -0.160 0.207 0.245 -1.000

Verdict: H3 OPEN — primary driver δ ≥ +0.5 on 2/8 runs (bar: ≥ 6/8, recorded before the data).

regen: /Users/antoniahoffman/miniforge3/envs/new-pin-env/bin/python validation/chain13_h3_closure.py