LANGE OUTDOOR · 05 AUG 2026 · 1,015 M

Seven laps.
One second still hiding.

Phone GNSS, 100 Hz acceleration, 200 Hz rotation, pressure and an independent watch trace—resolved into a lap-by-lap coaching model, not just a collection of graphs.

Best lap—estimated
Next-lap focus—largest repeatable loss
Directional target—one-sector experiment
Settled consistency—laps 4–7 standard deviation
Coaching confidence—1 Hz GNSS · 10 Hz IMU

THE VERDICT

What the stopwatch is actually saying

Evidence → interpretation → the next driving action.

INTERACTIVE LAP LAB

Replay every lap on the clock

Play advances by measured elapsed time: the kart visibly covers less track while slowing and more while accelerating. The numbered ghosts align each separately recorded lap at t=0 for a virtual time-relative comparison; the laps were not driven simultaneously.

TIME-ALIGNED LIVE REPLAY

Selected kart + all-lap ghosts

GNSS ± metres

Large lime kart = selected lap. Numbered circles = separately recorded laps aligned to the same elapsed time, not simultaneous karts. Paths remain measured and unsnapped.

PACE TRACE

Speed and time delta by distance

GNSS speed validated
LEARNING CURVE

Lap time progression

estimated timing
SECTOR DNA

Where each lap won or lost

4 fixed gates

RACING-LINE & CORNER MODEL

A model opponent—without calling it ground truth

Suggested line, corner-speed envelope, inferred braking and low-confidence rotation cues. Measured telemetry remains primary; every coaching number changes with the assumptions.

Driver scenario: 72 kg · accelerator flat whenever acceleratingComparison, not proof: braking is inferred from deceleration; these sensors do not measure tire slip, so drift and skid cannot be confirmed.
Selected model lap——
Kart + driver—scenario input
Fitted effective grip—not a measured tire μ
Near-term benchmark—your own sector stack · stronger evidence
SUGGESTED LINE

Assumed corridor, model line & measured path

scenario only

The translucent band is OSM centerline ±4.5 m—not surveyed asphalt. The dashed blue GNSS path has metre-scale uncertainty, so lateral separation is illustrative rather than an apex verdict.

SPEED ENVELOPE

Measured lap versus simulated full-throttle / brake solution

QSS model

Orange bands are model braking demand. Actual braking is inferred from coherent speed loss; there is no brake-pedal channel. Hover either chart to move the shared track cursor.

CORNER-BY-CORNER

Evidence → interpretation → one safe experiment

Observed / conservative-model minimum speed. Brake distances are coarse 5 m bins with practical uncertainty around 15–25 m.

What “skid”, “drift” and grip mean here

Grip proxy combines smoothed phone/body lateral acceleration and inferred deceleration inside a fitted friction circle. Possible over-rotation requires excess yaw, elevated grip use and local time loss. Neither proves tire slip: phone movement, mounting, bumps, GNSS heading and the unrecorded steering angle can create the same pattern. There is no defensible tire slip angle.

Line, speed and braking assumptions

The line minimizes curvature inside a 9 m OSM-centered corridor, leaving the 1.35 m kart footprint and 0.55 m centerline safety margin. Speed is a cyclic point-mass simulation with an effective grip limit, friction-circle braking, power-limited full-throttle acceleration, rolling resistance, aerodynamic drag and a fitted top-speed cap. Elevation is omitted because the pressure-derived profile is experimental.

How to use the model safely

Start with Conservative coaching. Change only one corner and one behavior at a time. A slower minimum plus early speed-loss cue suggests testing a shorter/later main stop; a late/near-limit cue means adding margin. Do not use a nominal or high-grip ceiling as a braking instruction, and never prioritize an exact metre marker over visibility, flags, traffic, tire temperature or track conditions.

MODEL SOURCES

Facts, priors and method references

PHYSICS LAB

Grip, energy and rotation—without pretending assumptions are measurements

Mass-independent quantities stay measured. Mass, drag and rolling resistance remain explicit controls.

G–G ENVELOPE

Measured motion demand

phone/body proxy
MOTION TRACE

Acceleration and rotation by distance

10 Hz filtered
ASSUMPTION-AWARE MODEL

Energy & tractive-power sandbox

editable estimate
Speed-loss energy / lap—specific until assumptions unlock
Peak kinetic energy—at selected lap top speed
P95 required engine power—acceleration + rolling + aero
Grip-demand proxy—p99 phone/body horizontal g

Model: P ≈ [m·a + m·g·Crr + ½ρCdAv²]·v / η. This estimates demand at the assumed drivetrain; it does not identify engine output or kart model.

SPATIAL MODEL

Drive the recorded lap in 3D

A camera-led replay built from the same measured-time playhead. Position and speed come from the selected lap; heading is a smoothed trajectory tangent and the road width is only a visual aid.

LIVE 3D KART REPLAY

Chase camera or first-person cockpit

approximate camera pose
LAP 4 · T+0.0 S0.0km/h
THIRD-PERSON CHASE0 mvisual z ×4
GNSS ≈1 Hz · heading smoothed · visual road edges are not surveyed

What is measured: elapsed time, speed and the selected GNSS line. What is visualized: interpolated motion, a smoothed look direction, experimental pressure-derived relative height and a nominal-width road ribbon centered on that line. This is not surveyed track geometry or exact steering.

3D TRAJECTORY

Speed over experimental relative elevation

Elevation ×8
— modelled range— cross-lap repeatability9 m venue-stated climbs/fallsExperimental vertical axis

KEY COMPLEXES

Five speed minima worth revisiting

Automatically detected braking/apex regions. The spread shows where execution changed most; exact racing-line claims are constrained by GNSS accuracy.

AUDIT TRAIL

Every conclusion has a source and a confidence boundary

The original archive remains untouched. Derived outputs are reproducible from hashed inputs.

DATA QUALITY

What can be trusted

METHODS

How each layer was produced