Does inverting a quadratic thrust curve exactly fix the error a linear-thrust twin makes, and what if the thrust exponent is also wrong?

What it found

Follow-up to thrust-twin. With the right model, the exact square-root throttle inverse realises the commanded acceleration inside the throttle limits and shrinks the up/down overshoot gap at ζ=0.7, p=2 from 3.00 to 0.09 points. With the thrust exponent misidentified (2.5 instead of 2) the exact inverse flips the asymmetry and halves the gap (3.67 to 1.65 points) but overshoot stays at 0.071–0.088 against the twin’s 0.046, and settling time is unchanged. Stylised: 1-D, noiseless, static thrust map, assumed throttle limits, exponent error only.

A figure from its own output

Paper, code and results

• README and method
• Experiments and results
• Code
• Tests

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Produced with AI assistance (Claude). Results are from the code in this repository and are simulated or stylised unless the abstract says otherwise; nothing here implies affiliation with or endorsement by any lab, researcher or company cited. MIT licensed.