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Lap time and delta analysis: Difference between revisions
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Formula (talk | contribs) (Created page with "''Lap time analysis'' decomposes a lap into distance-aligned events and state variables (speed, longitudinal/lateral acceleration, throttle/brake, gear) to attribute time gains and losses to specific driver inputs, tyre states, aerodynamic conditions, and traffic effects. The goal is a quantitative, reproducible explanation of delta-time traces, enabling strategy and setup decisions (brake bias, aero level, tyre plan, shift maps). == Data channels and sampling == Recom...") |
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== Distance alignment and rolling delta == | == Distance alignment and rolling delta == | ||
Analysis must compare laps on a common | Analysis must compare laps on a common distance axis (not time) to preserve causality through braking/accel phases. | ||
'''Curvilinear abscissa (distance)''' | '''Curvilinear abscissa (distance)''' | ||
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1) Compute <math>\Delta T(s)</math> and mark sector endpoints <math>s_k</math>. | 1) Compute <math>\Delta T(s)</math> and mark sector endpoints <math>s_k</math>. | ||
2) Sector deltas are differences of the cumulative curve: <math>\Delta T_k=\Delta T(s_k)-\Delta T(s_{k-1})</math>. | 2) Sector deltas are differences of the cumulative curve: <math>\Delta T_k=\Delta T(s_k)-\Delta T(s_{k-1})</math>. | ||
3) Within a corner, split phase deltas by integrating only over the corresponding ''s'' intervals (entry / mid / exit). | 3) Within a corner, split phase deltas by integrating only over the corresponding ''s'' intervals (entry / mid / exit). | ||
4) Attribute mechanisms by co-evaluating <math>v,\,a_x,\,a_y,\,\mathrm{brake},\,\mathrm{throttle}</math> traces and, where available, power and platform proxies. | 4) Attribute mechanisms by co-evaluating <math>v,\,a_x,\,a_y,\,\mathrm{brake},\,\mathrm{throttle}</math> traces and, where available, power and platform proxies. | ||