Methodology
A car short on downforce shows a specific footprint in lap data. It can't carry mid-corner speed (low vmin), it waits longer to put the throttle back down on exit, its peak lateral G envelope is lower, and so its lap time deficit is concentrated in the corner phase. This page documents how each of those four signatures is computed, what the corner detection rule is, and how the midfield reference set was chosen.
1 · Data Source
Telemetry comes from FastF1 v3.8.2, which mirrors
livetiming.formula1.com with a fallback to the Jolpica
Ergast API. For each completed 2026 race we pull race-session laps,
take each driver's top-5 fastest clean laps
(excluding pit-in / pit-out and laps slower than 1.08 × fastest),
and resample telemetry onto a common track-distance grid at 5 m
resolution. We then take the per-bin median across that driver's
five laps to suppress single-lap noise.
Telemetry channels used: Speed (km/h),
Throttle (%), Distance (m),
X and Y (track coordinates, FastF1's
native 0.1 m units — converted to metres for curvature math).
Sampling rate is 4 Hz for car data, which gives ~15 m localisation
uncertainty at 250 km/h — fine for corner-level analysis.
Races analysed: Australia (R1, Mar 8), China (R2, Mar 22), Japan (R3, Apr 12), Miami (R4, May 3). Saudi Arabia and Bahrain were cancelled mid-season. Canada (R5, Circuit Gilles Villeneuve) is next on the calendar (May 24); a follow-up will fold it in.
2 · Corner Detection
We don't have FastF1's "official" corner metadata for every track, so we identify corners directly from the geometry of the track polyline. The track outline (X, Y in metres) is sampled on the same 5 m grid as the speed traces. From it we compute the signed curvature at every point:
where derivatives are with respect to lap distance s. A straight has κ ≈ 0. A circular arc of radius R has κ = 1 / R. We smooth lightly (5-bin uniform filter, periodic) to suppress noise from the polyline downsampling, then detect corners as local peaks in κ exceeding κmin = 0.005 m−1 (corresponding to a corner radius of ≤ 200 m), with a minimum spacing of 140 m to avoid double-counting compound turns.
Secondary-peak rescue pass. The strict 140 m separation rule is great at rejecting noise but can also reject real corners packed close together (e.g. Miami's T13–T15 chicane, where two genuine apices sit only ~90 m apart). After the strict pass we re-scan for any rejected κ peaks meeting a higher bar — κ ≥ 0.020 m−1 (radius ≤ 50 m, i.e. clearly a real corner) and at least 60 m clear of every accepted peak — and add those back. The two-stage filter keeps the algorithm conservative on long sweepers while catching the chicane-style sequences a single threshold misses.
Each detected corner is widened outward from its peak while κ > κpeak / 3, which captures the entry braking, the apex, and the early exit. Bins outside any corner window are classified as straight.
Window-overlap dedup pass. The strict and rescue passes can both fire on the same physical complex — the strict pass picks up the wide low-κ averaged "super-blob" peak that sits at the geometric centroid of a multi-apex sequence, while the rescue pass picks up the sharper high-κ apex peaks inside it. Two tightly spaced peaks can also widen out to identical valley-to- valley extents. To avoid double-counting we run a final dedup pass: for any pair of corners whose windows overlap by ≥ 80 % of either window, we drop the one with the lower κpeak. The rule keeps the sharper, more localized apex and discards the wider averaged blob — physically the right call, since the lower-κ window was just an artifact of the strict pass averaging across a multi-apex complex.
Corner-detection thresholds
| Parameter | Value | Why |
|---|---|---|
CORNER_PEAK_KAPPA | 0.005 m−1 | Corner radius ≤ 200 m. Excludes long sweepers like Suzuka 130R from the corner mask. |
CORNER_MIN_SEP_M | 140 m | Minimum lap-distance spacing between detected peaks (strict pass). Prevents double-counting Spoon's two apices. |
RESCUE_KAPPA | 0.020 m−1 | Higher κ floor for the rescue pass (radius ≤ 50 m). Reserved for unambiguous corners packed inside the 140 m strict-pass window. |
RESCUE_MIN_SEP_M | 60 m | Minimum spacing for rescue-pass peaks from any already-accepted peak. Catches chicane apices (Miami T13–T15) that the strict 140 m rule rejected. |
DEDUP_OVERLAP_FRAC | 0.80 | Drop a corner if its window overlaps another corner's by ≥ 80 % of either window — keep the sharper (higher-κ) apex, discard the wider averaged super-blob. |
CORNER_KAPPA_FRAC | 1 / 3 | Corner extends outward while κ > κpeak / 3 — captures the entry, apex, and early exit. |
SMOOTH_WINDOW_M | 25 m | Uniform-filter window for speed/throttle smoothing. |
The corner mask, visualised
Sanity-check: when the algorithm above is applied to the four tracks Cadillac has raced in 2026 so far, the corner-bin mask (red overlay) lights up in the places anyone who's watched a Grand Prix would expect — Albert Park's Lakeside / Brabham complex, Shanghai's hairpin and the long T11-T12 sequence, Suzuka's Esses, Degner, Hairpin, and Spoon, Miami's hairpin sequence and the chicane after the back straight. Numbered markers are the per-corner C-IDs the pipeline uses everywhere else in the analysis. The percentages at the bottom of each panel are the fraction of the lap distance classified as corner phase.
3 · Signature 1 — Mid-corner Minimum Speed
For each detected corner zone Z, the mid-corner minimum speed is the lowest median speed observed within the corner window:
where ṽi is the per-bin median speed across the driver group's top-5 fastest clean laps. We compute this for the Cadillac group (PER + BOT) and the midfield reference group (Aston Martin + Williams + Haas) and report the delta.
Δvmin,Z < 0 means Cadillac is slower at the apex than the midfield reference. Across 62 corners over 4 races this metric is negative 46 times; the average is −3.4 km/h. Miami's distribution is markedly tighter to zero (avg −1.2 km/h) than the first three races.
4 · Signature 2 — Curve vs Straight Time Differential
Decompose the lap into corner-mask and straight-mask sets of bins. Approximate the time spent in each set as the integral of ds / v:
The curve loss is the time Cadillac spends in corners minus the time the midfield reference spends in corners:
Sign convention: positive ΔTcurve means Cadillac is slower in the corners; positive ΔTstraight means Cadillac is faster on the straights (i.e., the trade-off a lower-downforce car would expect). We finally express the share of the total deficit that lives in the corners:
Across the four races: fcorner ≈ 0.51 — ~51 % of Cadillac's pace deficit lives in the corner phase. Below 50 % would suggest the deficit is primarily in the power unit or drag; well above 80 % would be a pure-downforce signature. Through Japan this number sat at 60 %; Miami pulled it to a clean 50/50 split by narrowing the corner deficit while widening the straight-line gap. The aero side is closing; the PU side may be where the next gain comes from.
Bins below 60 km/h are excluded. A handful of drivers' median traces taper to zero at the lap boundary (telemetry truncation at pit-in/out). Integrating ds / v through those bins blows up the time estimate. A 60 km/h floor masks them out cleanly without affecting any real corner data.
5 · Signature 3 — Throttle Re-application Distance
A car short on rear downforce can't get on the throttle as early on corner exit because the tyres saturate longitudinally before they saturate laterally — so the driver waits. We approximate that wait as a distance rather than a time, to be robust to whether the corner is an apex-and-go or a long arc.
We measure the distance from the corner peak to the first bin where the median speed climbs back to 85 % of the local 400 m post-peak maximum. Using a local max (not the global lap max) keeps the metric honest for corners whose exit feeds another braking zone rather than a long straight.
Across the 62 corners over 4 races, Cadillac's throttle re-application distance is essentially identical to the midfield's — race-to-race swings from +9.5 m at Australia to −7.9 m at Miami, season average ≈ 0 m. The deficit isn't on throttle timing; it's on the apex speed the drivers can carry before they're back on the throttle. Miami's negative number means Cadillac actually got back to throttle sooner than the midfield there — consistent with a setup that gave up some rear stability for cornering grip.
6 · Signature 4 — Lateral G Envelope
The cleanest one-number proxy for "how much downforce is on the car" is the peak sustained lateral acceleration. From the curvature trace and the speed trace we compute lateral G at every bin:
Per corner we take the 95th percentile of alat across the corner window — close enough to "peak" to be the right ceiling, robust enough to a single noisy bin to be reliable.
Across the four races, Cadillac's average per-corner G95 is approximately 0.37 g lower than the midfield reference. Per-race breakdown: Australia −0.27 g, China −0.66 g, Japan −0.29 g, Miami −0.28 g. China's gap is by far the largest because its long-radius corners reward sustained aero load most directly, and once the dedup pass strips out the strict-pass averaged super-blobs the remaining sharp apexes show the gap clearly. Australia, Japan and Miami cluster within 0.02 g of each other. Same direction as the corner-min improvement, and the cleanest physics-anchored proxy for "more downforce on the car than there used to be." The ceiling doesn't move without aerodynamic load.
7 · Midfield Reference Set
Cadillac is a new entrant. Comparing them against the championship-leading teams (Red Bull, Ferrari, McLaren, Mercedes) would give a dramatic gap that obscures the underlying question: are they short on downforce specifically?
We instead compare against the teams Cadillac is realistically racing in race-pace terms — Aston Martin, Williams, and Haas:
- Aston Martin (ALO, STR) — explicit anchor. Sean's headline GP-Tempo case study compared PER vs ALO at Suzuka L50; including the team here makes the cross-reference obvious.
- Williams (ALB, SAI) — stable midfield reference; Williams's car was an aerodynamic step forward for 2026.
- Haas (BEA, OCO) — third midfield team running independent aero from the bigger constructors; broadens the base without contaminating it.
The midfield reference value at each point is the median across all six driver traces (not the mean — median is robust to one driver having an off-lap contaminate the comparison).
Why these three and not, e.g., Alpine or Audi? Both Alpine and Audi (the new Sauber identity for 2026) are themselves struggling with aero programmes this year, which means including them in the reference would artificially flatter Cadillac. Aston / Williams / Haas form the cleanest midfield comparator that's neither at the front nor in the same boat.
8 · What the Analysis Does Not Capture
- Tyre state — top-5 fastest clean laps will cluster on similar compound + age profiles, but a driver burning tyres in qualifying trim would inflate their corner speeds vs Cadillac's race-stint pace. Mitigated by always using the same lap-selection rule across all teams; not eliminated.
- Setup choices vs base car — a low-downforce configuration chosen for one race would look identical in this telemetry to a base downforce shortfall. The analysis can't separate them on a single race. The fact that the same signature appears at three very different circuits (Albert Park's medium-speed flow, Shanghai's variety, Suzuka's high-speed esses) is what makes the "base car" interpretation the more parsimonious one.
- Driver effect — PER and BOT might both be cornering conservatively because they're driving around a chronic understeer. The metric reads a deficit either way; what it can't tell you is whether better-driven Cadillacs would recover the gap.
- Race pace vs pure lap pace — these are race-session laps but specifically the fastest five clean ones per driver. Average race pace including stints in dirty air, graining, fuel weight, and strategy effects would tell a different (and probably worse for Cadillac) story.
- Sample-rate localisation — at 4 Hz car-data sampling, throttle re-application is localised to ±15 m at 250 km/h. Differences smaller than that are noise.
In short: this is not a "Cadillac is bad" report; it's an attribution of where the team's specific lap-time deficit is being paid. The four signatures all point in the same direction — corner-phase aerodynamic load — and that's the strongest claim the data supports.