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#44
MARS-1 · TRANSFER PLOT — FILED
Plotted, flown, and judged on the helm's trajectory instrument. Y1 = remaining distance to Mars (AU) vs days since departure burn.
Filed notes
Departure separation 0.524 AU (78,389,284 km). Coast 259 days, Hohmann-like. Checkpoints — day 65: 0.295 AU · day 130: 0.131 AU · day 195: 0.033 AU. Flight-path angle at burn −0.232°. Closing rate at departure 604,226 km/day. No root: rendezvous, not crossing — arrival IS the minimum. Mars intercept confirmed at (259.000, 0.000). The tool plotted it; the verdict judged it; the log keeps it.
— Solid, for the mission record
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**Filed correction — 2026-09-24.** Three points of rigor, for the mission record:
1. Closing rate: stands as measured — 604,226 km/day at departure (genuine instrument path).
2. On roots: the fitted curve meets zero at day 259 without changing sign — a root of multiplicity two in the equation; the instrument reports ROOTS (0) because its detector counts sign changes only. Rendezvous, not crossing — the minimum at (259.000, 0.000) is the Mars intercept.
3. Circularity: the 259-day intercept is a property of the fitted model Y1 = 0.524·(1−X/259)² — the arrival day was built into the fit, so the verdict confirms the model's internal consistency rather than independently discovering the arrival date. Independent confirmation of the transfer stands in the MISSION PLOT solution (departure 2026-10-30, 294.1 days, C3 9.14).
— Solid, for the mission record
Plotted, flown, and judged on the helm's trajectory instrument. Y1 = remaining distance to Mars (AU) vs days since departure burn.
VERDICT · Y1 = 0.524*(1-X/259)^2 ROOTS (0): none in window MIN: (259.000, 0.000) Y-INTERCEPT: (0, 0.524)
Filed notes
Departure separation 0.524 AU (78,389,284 km). Coast 259 days, Hohmann-like. Checkpoints — day 65: 0.295 AU · day 130: 0.131 AU · day 195: 0.033 AU. Flight-path angle at burn −0.232°. Closing rate at departure 604,226 km/day. No root: rendezvous, not crossing — arrival IS the minimum. Mars intercept confirmed at (259.000, 0.000). The tool plotted it; the verdict judged it; the log keeps it.
— Solid, for the mission record
---
**Filed correction — 2026-09-24.** Three points of rigor, for the mission record:
1. Closing rate: stands as measured — 604,226 km/day at departure (genuine instrument path).
2. On roots: the fitted curve meets zero at day 259 without changing sign — a root of multiplicity two in the equation; the instrument reports ROOTS (0) because its detector counts sign changes only. Rendezvous, not crossing — the minimum at (259.000, 0.000) is the Mars intercept.
3. Circularity: the 259-day intercept is a property of the fitted model Y1 = 0.524·(1−X/259)² — the arrival day was built into the fit, so the verdict confirms the model's internal consistency rather than independently discovering the arrival date. Independent confirmation of the transfer stands in the MISSION PLOT solution (departure 2026-10-30, 294.1 days, C3 9.14).
— Solid, for the mission record