{
  "schemaVersion": "vehiclelab.numerical-optimization-evidence.v1",
  "evidenceId": "vehiclelab.ml61.numerical-qualification.v1",
  "baseline": "4330f9f134ee9e548beb79eedfa5b6fe0de36335",
  "status": "PASS",
  "budgets": {
    "positionHistoryAbsoluteSI": 2e-8,
    "rateHistoryAbsoluteSI": 0.000003,
    "referenceSelfDifferenceSI": 0.000001,
    "minimumRefinementRatio": 8,
    "maximumRefinementRatio": 32,
    "staticDriftSI": 1e-9,
    "energyBalanceFineJ": 0.000002,
    "supportGradientSI": 0.00002,
    "algebraicResidualSI": 0.000001
  },
  "mechanics": {
    "schemaVersion": "vehiclelab.optimized-coupled-vehicle-evidence.v1",
    "status": "PASS",
    "baseline": "4330f9f134ee9e548beb79eedfa5b6fe0de36335",
    "productRelease": "1.21.0",
    "scope": "Internal 14 mechanical DOFs / 28 chart states; absolute reduced-coordinate physical Double-Wishbone with fixed rack, central body inertia and axisymmetric wheel gyroscopic inertia; prescribed contact wrenches; limited compliant flat support and solved static references. No transient study, public Worker/option, advanced tire law or measured vehicle correlation.",
    "reference": "Independent circle/sphere/bisection mechanism; Cartesian material-frame finite differences; Newton–Euler mass/inertial forces; independent pivoted solve and potential-energy/work calculations. No production equation imports in reference.",
    "fixtureProvenance": "Unmeasured educational parallel/generic/skew linkage snapshots from the independently qualified steering reference. Explicit new SI inertial and installed-element assumptions; no empirical calibration.",
    "budgets": {
      "positionM": { "absolute": 2e-9, "relative": 2e-10 },
      "linearJacobian": { "absolute": 0.000002, "relative": 2e-7 },
      "angularJacobian": { "absolute": 0.000003, "relative": 2e-7 },
      "massEntrySI": { "absolute": 0.002, "relative": 2e-7 },
      "energyJ": { "absolute": 0.0002, "relative": 2e-7 },
      "biasSI": { "absolute": 0.005, "relative": 0.00002 },
      "potentialForceSI": { "absolute": 0.002, "relative": 2e-7 },
      "appliedForceSI": { "absolute": 0.002, "relative": 2e-7 },
      "accelerationSI": { "absolute": 0.0002, "relative": 0.000002 },
      "powerW": { "absolute": 0.05, "relative": 0.00002 },
      "staticResidualSI": { "absolute": 0.000001, "relative": 0 }
    },
    "maxima": {
      "positionM": 1.0302869668521453e-13,
      "linearJacobian": 2.3382268343752344e-10,
      "angularJacobian": 7.734085594179874e-10,
      "massEntrySI": 3.193777047272306e-7,
      "energyJ": 1.3265162124298513e-7,
      "biasSI": 0.000015192391184193355,
      "potentialForceSI": 9.852501534624025e-7,
      "appliedForceSI": 3.1357740226667374e-7,
      "accelerationSI": 3.230083223115798e-8,
      "powerW": 0.000021404957806225863,
      "staticResidualSI": 4.18367562815547e-11
    },
    "counts": {
      "configurations": 12,
      "staticEquilibria": 2,
      "demonstrations": 6,
      "demonstrationRecords": 7,
      "energyChecks": 6,
      "rejected": 9,
      "mechanicalDOFs": 14,
      "coordinateStates": 28
    },
    "rows": [
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        "configuration": "design",
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          "name": "ML59 unmeasured parallel Cartesian fixture",
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          "bodyInertiaKgM2": [
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              "springFreeLengthM": 0.5327188724235732,
              "installedDamperNspm": 1500,
              "minimumJounceM": -0.04,
              "maximumJounceM": 0.04,
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        "q": [1, -2, 0.74, 0.12, -0.17, 0.31, 0.012, -0.007, 0.009, -0.011, 0.2, -0.1, 0.4, 0.3],
        "qDot": [2, -0.5, 0.1, 0.2, -0.3, 0.4, 0.1, -0.05, 0.04, -0.07, 20, 15, -10, 25],
        "errors": {
          "positionM": 6.394884621840902e-14,
          "linearJacobian": 2.3382268343752344e-10,
          "angularJacobian": 4.799132757860036e-10,
          "massEntrySI": 3.123532223980874e-7,
          "energyJ": 1.314192559220828e-7,
          "biasSI": 0.0000039742978805712426,
          "potentialForceSI": 9.22673280001618e-7
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        "conditionInfinity": 4.649656471691863,
        "minIndependentPivot": 0.9954760119319166,
        "massSymmetry": 0,
        "maxEquationResidualSI": 3.666400516522117e-12,
        "derivativeStudy": {
          "production": [
            { "scale": 0.5, "maxBiasDifference": 0.0000039753040992351885 },
            { "scale": 1, "maxBiasDifference": 0.0000039742978805712426 },
            { "scale": 2, "maxBiasDifference": 0.000003984188255756749 }
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          "reference": [
            { "timeStepS": 0.0001, "maxBiasDifference": 0.0000068415972673818715 },
            { "timeStepS": 0.0002, "maxBiasDifference": 0.0000039742978805712426 },
            { "timeStepS": 0.0004, "maxBiasDifference": 9.664344351456577e-7 }
          ]
        }
      }
    ],
    "staticEquilibria": [
      {
        "name": "generic",
        "definition": {
          "name": "Unmeasured symmetric physical Double-Wishbone reference",
          "gravityMps2": 9.80665,
          "sprungMassKg": 1200,
          "bodyInertiaKgM2": [
            [600, 0, 0],
            [0, 1800, 0],
            [0, 0, 2000]
          ],
          "front": {
            "mechanism": {
              "schemaVersion": "vehiclelab.steering-study.v1",
              "mechanism": "double-wishbone-rack-tie-rod",
              "headingConstraint": "physical-tie-rod",
              "steeringAxis": "lower-to-upper-ball-joints",
              "carrierConvention": "body-left-spindle-horizontal-forward",
              "metadata": {
                "name": "VehicleLab Generic Front Rack & Tie Rod (unmeasured)",
                "source": "generic"
              },
              "trackM": 1.6,
              "rack": {
                "referenceM": [-0.12, 0, -0.12],
                "axis": [0, 1, 0],
                "leftOffsetM": 0.46,
                "rightOffsetM": -0.46,
                "minimumM": -0.03,
                "maximumM": 0.03
              },
              "left": {
                "suspension": {
                  "schemaVersion": "vehiclelab.suspension.v1",
                  "mechanism": "double-wishbone",
                  "metadata": {
                    "name": "VehicleLab Generic Front Double Wishbone",
                    "source": "generic"
                  },
                  "orientationConstraint": "chassis-forward-projection",
                  "hardpoints": {
                    "upperFront": [0.14, -0.34, 0.16],
                    "upperRear": [-0.14, -0.34, 0.16],
                    "upperBall": [0, -0.06, 0.15],
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                    "lowerRear": [-0.18, -0.4, -0.14],
                    "lowerBall": [0, -0.05, -0.16],
                    "springUpper": [0.04, -0.29, 0.27],
                    "springLower": [0.04, -0.15, -0.15],
                    "damperUpper": [-0.05, -0.27, 0.26],
                    "damperLower": [-0.05, -0.13, -0.15],
                    "spindleReference": [0, 0.12, 0]
                  }
                },
                "outerTieRodM": [-0.12, -0.06, -0.12],
                "tieRodLengthM": 0.27999999999999997
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              "right": {
                "suspension": {
                  "schemaVersion": "vehiclelab.suspension.v1",
                  "mechanism": "double-wishbone",
                  "metadata": {
                    "name": "VehicleLab Generic Front Double Wishbone",
                    "source": "generic"
                  },
                  "orientationConstraint": "chassis-forward-projection",
                  "hardpoints": {
                    "upperFront": [0.14, 0.34, 0.16],
                    "upperRear": [-0.14, 0.34, 0.16],
                    "upperBall": [0, 0.06, 0.15],
                    "lowerFront": [0.18, 0.4, -0.14],
                    "lowerRear": [-0.18, 0.4, -0.14],
                    "lowerBall": [0, 0.05, -0.16],
                    "springUpper": [0.04, 0.29, 0.27],
                    "springLower": [0.04, 0.15, -0.15],
                    "damperUpper": [-0.05, 0.27, 0.26],
                    "damperLower": [-0.05, 0.13, -0.15],
                    "spindleReference": [0, -0.12, 0]
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                },
                "outerTieRodM": [-0.12, 0.06, -0.12],
                "tieRodLengthM": 0.27999999999999997
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            },
            "originBodyM": [1.35, 0, -0.45],
            "fixedRackM": 0
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          "rear": {
            "mechanism": {
              "schemaVersion": "vehiclelab.steering-study.v1",
              "mechanism": "double-wishbone-rack-tie-rod",
              "headingConstraint": "physical-tie-rod",
              "steeringAxis": "lower-to-upper-ball-joints",
              "carrierConvention": "body-left-spindle-horizontal-forward",
              "metadata": {
                "name": "VehicleLab Generic Front Rack & Tie Rod (unmeasured)",
                "source": "generic"
              },
              "trackM": 1.6,
              "rack": {
                "referenceM": [-0.12, 0, -0.12],
                "axis": [0, 1, 0],
                "leftOffsetM": 0.46,
                "rightOffsetM": -0.46,
                "minimumM": -0.03,
                "maximumM": 0.03
              },
              "left": {
                "suspension": {
                  "schemaVersion": "vehiclelab.suspension.v1",
                  "mechanism": "double-wishbone",
                  "metadata": {
                    "name": "VehicleLab Generic Front Double Wishbone",
                    "source": "generic"
                  },
                  "orientationConstraint": "chassis-forward-projection",
                  "hardpoints": {
                    "upperFront": [0.14, -0.34, 0.16],
                    "upperRear": [-0.14, -0.34, 0.16],
                    "upperBall": [0, -0.06, 0.15],
                    "lowerFront": [0.18, -0.4, -0.14],
                    "lowerRear": [-0.18, -0.4, -0.14],
                    "lowerBall": [0, -0.05, -0.16],
                    "springUpper": [0.04, -0.29, 0.27],
                    "springLower": [0.04, -0.15, -0.15],
                    "damperUpper": [-0.05, -0.27, 0.26],
                    "damperLower": [-0.05, -0.13, -0.15],
                    "spindleReference": [0, 0.12, 0]
                  }
                },
                "outerTieRodM": [-0.12, -0.06, -0.12],
                "tieRodLengthM": 0.27999999999999997
              },
              "right": {
                "suspension": {
                  "schemaVersion": "vehiclelab.suspension.v1",
                  "mechanism": "double-wishbone",
                  "metadata": {
                    "name": "VehicleLab Generic Front Double Wishbone",
                    "source": "generic"
                  },
                  "orientationConstraint": "chassis-forward-projection",
                  "hardpoints": {
                    "upperFront": [0.14, 0.34, 0.16],
                    "upperRear": [-0.14, 0.34, 0.16],
                    "upperBall": [0, 0.06, 0.15],
                    "lowerFront": [0.18, 0.4, -0.14],
                    "lowerRear": [-0.18, 0.4, -0.14],
                    "lowerBall": [0, 0.05, -0.16],
                    "springUpper": [0.04, 0.29, 0.27],
                    "springLower": [0.04, 0.15, -0.15],
                    "damperUpper": [-0.05, 0.27, 0.26],
                    "damperLower": [-0.05, 0.13, -0.15],
                    "spindleReference": [0, -0.12, 0]
                  }
                },
                "outerTieRodM": [-0.12, 0.06, -0.12],
                "tieRodLengthM": 0.27999999999999997
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            },
            "originBodyM": [-1.35, 0, -0.45],
            "fixedRackM": 0
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          "corners": {
            "frontLeft": {
              "unsprungMassKg": 40,
              "wheelAxialInertiaKgM2": 1,
              "wheelTransverseInertiaKgM2": 0.6,
              "installedSpringStiffnessNpm": 50000,
              "springFreeLengthM": 0.5327188724235732,
              "installedDamperNspm": 1500,
              "minimumJounceM": -0.04,
              "maximumJounceM": 0.04,
              "effectiveVerticalRadiusM": 0.3,
              "normalStiffnessNpm": 200000
            },
            "frontRight": {
              "unsprungMassKg": 40,
              "wheelAxialInertiaKgM2": 1,
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              "installedSpringStiffnessNpm": 50000,
              "springFreeLengthM": 0.5327188724235732,
              "installedDamperNspm": 1500,
              "minimumJounceM": -0.04,
              "maximumJounceM": 0.04,
              "effectiveVerticalRadiusM": 0.3,
              "normalStiffnessNpm": 200000
            },
            "rearLeft": {
              "unsprungMassKg": 40,
              "wheelAxialInertiaKgM2": 1,
              "wheelTransverseInertiaKgM2": 0.6,
              "installedSpringStiffnessNpm": 50000,
              "springFreeLengthM": 0.5327188724235732,
              "installedDamperNspm": 1500,
              "minimumJounceM": -0.04,
              "maximumJounceM": 0.04,
              "effectiveVerticalRadiusM": 0.3,
              "normalStiffnessNpm": 200000
            },
            "rearRight": {
              "unsprungMassKg": 40,
              "wheelAxialInertiaKgM2": 1,
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              "installedSpringStiffnessNpm": 50000,
              "springFreeLengthM": 0.5327188724235732,
              "installedDamperNspm": 1500,
              "minimumJounceM": -0.04,
              "maximumJounceM": 0.04,
              "effectiveVerticalRadiusM": 0.3,
              "normalStiffnessNpm": 200000
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        },
        "q": [
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          -0.0023506629970608136, 0, 0, 0, 0
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        "residualSI": [
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          -1.7053025658242404e-13, 1.1937117960769683e-12, 0, 0, 0, 0
        ],
        "trace": [
          { "iteration": 0, "maxResidualSI": 2662.955999999971 },
          { "iteration": 1, "maxResidualSI": 0.17130823026377584 },
          { "iteration": 2, "maxResidualSI": 0.000001233173861692194 },
          { "iteration": 3, "maxResidualSI": 1.2050804798491299e-11 }
        ],
        "tireCompressionM": {
          "frontLeft": 0.016670651279327597,
          "frontRight": 0.016670651279327597,
          "rearLeft": 0.016671958720672397,
          "rearRight": 0.016671958720672397
        },
        "independentCartesianBalance": {
          "totalForceN": [0, 0, -6.912159733474255e-10],
          "totalMomentWorldNm": [0, 9.731593308970332e-11, 0],
          "normalLoadsN": {
            "frontLeft": 3334.130255865342,
            "frontRight": 3334.130255865342,
            "rearLeft": 3334.391744134313,
            "rearRight": 3334.391744134313
          }
        },
        "acceleration": [
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          1.780417173900127e-15, -3.5374811422653417e-15, -2.361355555471349e-17,
          6.39340711258892e-14, 6.684516850273149e-14, 4.231982700395093e-15, 4.103841072382335e-14,
          4.438762851711941e-15, 4.4836424264894735e-15, 3.595401142713508e-15,
          4.119158366744054e-15
        ]
      },
      {
        "name": "controlled-asymmetric",
        "definition": {
          "name": "ML59 unmeasured generic Cartesian fixture",
          "gravityMps2": 9.80665,
          "sprungMassKg": 1200,
          "bodyInertiaKgM2": [
            [600, 0, 0],
            [0, 1800, 0],
            [0, 0, 2000]
          ],
          "front": {
            "mechanism": {
              "schemaVersion": "vehiclelab.steering-study.v1",
              "mechanism": "double-wishbone-rack-tie-rod",
              "headingConstraint": "physical-tie-rod",
              "steeringAxis": "lower-to-upper-ball-joints",
              "carrierConvention": "body-left-spindle-horizontal-forward",
              "metadata": { "name": "Generic front / rack tie rod", "source": "custom" },
              "trackM": 1.6,
              "rack": {
                "referenceM": [-0.12, 0, -0.12],
                "axis": [0, 1, 0],
                "leftOffsetM": 0.46,
                "rightOffsetM": -0.46,
                "minimumM": -0.03,
                "maximumM": 0.03
              },
              "left": {
                "suspension": {
                  "schemaVersion": "vehiclelab.suspension.v1",
                  "mechanism": "double-wishbone",
                  "orientationConstraint": "chassis-forward-projection",
                  "metadata": { "name": "Generic front planar", "source": "custom" },
                  "hardpoints": {
                    "upperFront": [0.14, -0.34, 0.16],
                    "upperRear": [-0.14, -0.34, 0.16],
                    "upperBall": [0, -0.06, 0.15],
                    "lowerFront": [0.18, -0.4, -0.14],
                    "lowerRear": [-0.18, -0.4, -0.14],
                    "lowerBall": [0, -0.05, -0.16],
                    "springUpper": [0.04, -0.29, 0.27],
                    "springLower": [0.04, -0.15, -0.15],
                    "damperUpper": [-0.05, -0.27, 0.26],
                    "damperLower": [-0.05, -0.13, -0.15],
                    "spindleReference": [0, 0.12, 0]
                  }
                },
                "outerTieRodM": [-0.12, -0.06, -0.12],
                "tieRodLengthM": 0.27999999999999997
              },
              "right": {
                "suspension": {
                  "schemaVersion": "vehiclelab.suspension.v1",
                  "mechanism": "double-wishbone",
                  "orientationConstraint": "chassis-forward-projection",
                  "metadata": { "name": "Generic front planar", "source": "custom" },
                  "hardpoints": {
                    "upperFront": [0.14, 0.34, 0.16],
                    "upperRear": [-0.14, 0.34, 0.16],
                    "upperBall": [0, 0.06, 0.15],
                    "lowerFront": [0.18, 0.4, -0.14],
                    "lowerRear": [-0.18, 0.4, -0.14],
                    "lowerBall": [0, 0.05, -0.16],
                    "springUpper": [0.04, 0.29, 0.27],
                    "springLower": [0.04, 0.15, -0.15],
                    "damperUpper": [-0.05, 0.27, 0.26],
                    "damperLower": [-0.05, 0.13, -0.15],
                    "spindleReference": [0, -0.12, 0]
                  }
                },
                "outerTieRodM": [-0.12, 0.06, -0.12],
                "tieRodLengthM": 0.27999999999999997
              }
            },
            "originBodyM": [1.35, 0, -0.45],
            "fixedRackM": 0
          },
          "rear": {
            "mechanism": {
              "schemaVersion": "vehiclelab.steering-study.v1",
              "mechanism": "double-wishbone-rack-tie-rod",
              "headingConstraint": "physical-tie-rod",
              "steeringAxis": "lower-to-upper-ball-joints",
              "carrierConvention": "body-left-spindle-horizontal-forward",
              "metadata": { "name": "Generic front / rack tie rod", "source": "custom" },
              "trackM": 1.6,
              "rack": {
                "referenceM": [-0.12, 0, -0.12],
                "axis": [0, 1, 0],
                "leftOffsetM": 0.46,
                "rightOffsetM": -0.46,
                "minimumM": -0.03,
                "maximumM": 0.03
              },
              "left": {
                "suspension": {
                  "schemaVersion": "vehiclelab.suspension.v1",
                  "mechanism": "double-wishbone",
                  "orientationConstraint": "chassis-forward-projection",
                  "metadata": { "name": "Generic front planar", "source": "custom" },
                  "hardpoints": {
                    "upperFront": [0.14, -0.34, 0.16],
                    "upperRear": [-0.14, -0.34, 0.16],
                    "upperBall": [0, -0.06, 0.15],
                    "lowerFront": [0.18, -0.4, -0.14],
                    "lowerRear": [-0.18, -0.4, -0.14],
                    "lowerBall": [0, -0.05, -0.16],
                    "springUpper": [0.04, -0.29, 0.27],
                    "springLower": [0.04, -0.15, -0.15],
                    "damperUpper": [-0.05, -0.27, 0.26],
                    "damperLower": [-0.05, -0.13, -0.15],
                    "spindleReference": [0, 0.12, 0]
                  }
                },
                "outerTieRodM": [-0.12, -0.06, -0.12],
                "tieRodLengthM": 0.27999999999999997
              },
              "right": {
                "suspension": {
                  "schemaVersion": "vehiclelab.suspension.v1",
                  "mechanism": "double-wishbone",
                  "orientationConstraint": "chassis-forward-projection",
                  "metadata": { "name": "Generic front planar", "source": "custom" },
                  "hardpoints": {
                    "upperFront": [0.14, 0.34, 0.16],
                    "upperRear": [-0.14, 0.34, 0.16],
                    "upperBall": [0, 0.06, 0.15],
                    "lowerFront": [0.18, 0.4, -0.14],
                    "lowerRear": [-0.18, 0.4, -0.14],
                    "lowerBall": [0, 0.05, -0.16],
                    "springUpper": [0.04, 0.29, 0.27],
                    "springLower": [0.04, 0.15, -0.15],
                    "damperUpper": [-0.05, 0.27, 0.26],
                    "damperLower": [-0.05, 0.13, -0.15],
                    "spindleReference": [0, -0.12, 0]
                  }
                },
                "outerTieRodM": [-0.12, 0.06, -0.12],
                "tieRodLengthM": 0.27999999999999997
              }
            },
            "originBodyM": [-1.35, 0, -0.45],
            "fixedRackM": 0
          },
          "corners": {
            "frontLeft": {
              "unsprungMassKg": 45,
              "wheelAxialInertiaKgM2": 1,
              "wheelTransverseInertiaKgM2": 0.6,
              "installedSpringStiffnessNpm": 50000,
              "springFreeLengthM": 0.5357188724235732,
              "installedDamperNspm": 1500,
              "minimumJounceM": -0.04,
              "maximumJounceM": 0.04,
              "effectiveVerticalRadiusM": 0.3,
              "normalStiffnessNpm": 200000
            },
            "frontRight": {
              "unsprungMassKg": 40,
              "wheelAxialInertiaKgM2": 1,
              "wheelTransverseInertiaKgM2": 0.6,
              "installedSpringStiffnessNpm": 50000,
              "springFreeLengthM": 0.5327188724235732,
              "installedDamperNspm": 1500,
              "minimumJounceM": -0.04,
              "maximumJounceM": 0.04,
              "effectiveVerticalRadiusM": 0.3,
              "normalStiffnessNpm": 200000
            },
            "rearLeft": {
              "unsprungMassKg": 40,
              "wheelAxialInertiaKgM2": 1,
              "wheelTransverseInertiaKgM2": 0.6,
              "installedSpringStiffnessNpm": 50000,
              "springFreeLengthM": 0.5327188724235732,
              "installedDamperNspm": 1500,
              "minimumJounceM": -0.04,
              "maximumJounceM": 0.04,
              "effectiveVerticalRadiusM": 0.3,
              "normalStiffnessNpm": 200000
            },
            "rearRight": {
              "unsprungMassKg": 40,
              "wheelAxialInertiaKgM2": 1,
              "wheelTransverseInertiaKgM2": 0.6,
              "installedSpringStiffnessNpm": 50000,
              "springFreeLengthM": 0.5327188724235732,
              "installedDamperNspm": 1500,
              "minimumJounceM": -0.04,
              "maximumJounceM": 0.04,
              "effectiveVerticalRadiusM": 0.3,
              "normalStiffnessNpm": 200000
            }
          }
        },
        "q": [
          0, 0, 0.7366729291027836, 0.0013378392748818768, -0.0007626249385131003, 0,
          -0.005779770775091612, -0.003204643706891749, -0.0032750721559704006,
          -0.0013646748158914364, 0, 0, 0, 0
        ],
        "residualSI": [
          0, 0, 4.18367562815547e-11, 1.0857093002414331e-11, 7.048583938740194e-12,
          -1.2449211160519093e-30, 1.4779288903810084e-11, 2.8421709430404007e-12,
          1.3926637620897964e-11, 8.29913915367797e-12, 0, 0, 0, 0
        ],
        "trace": [
          { "iteration": 0, "maxResidualSI": 2613.9227499999706 },
          { "iteration": 1, "maxResidualSI": 1.4327934016966424 },
          { "iteration": 2, "maxResidualSI": 0.00006118702549429145 },
          { "iteration": 3, "maxResidualSI": 4.18367562815547e-11 }
        ],
        "tireCompressionM": {
          "frontLeft": 0.01700680771115204,
          "frontRight": 0.016571625635361853,
          "rearLeft": 0.016561041590179015,
          "rearRight": 0.01679091131330729
        },
        "independentCartesianBalance": {
          "totalForceN": [0, 0, -5.379661160986871e-10],
          "totalMomentWorldNm": [1.0459189070388675e-11, 8.412825991399586e-11, 0],
          "normalLoadsN": {
            "frontLeft": 3401.361542230297,
            "frontRight": 3314.325127072204,
            "rearLeft": 3312.2083180356253,
            "rearRight": 3358.1822626613357
          }
        }
      }
    ],
    "examples": [
      {
        "id": "A-balanced-equilibrium",
        "q": [
          0, 0, 0.7356848414512168, 1.0766151206772268e-17, -0.0000045462535551970234, 0,
          -0.002361630441525305, -0.0023616304415252903, -0.002350662997060796,
          -0.0023506629970608136, 0, 0, 0, 0
        ],
        "qDot": [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
        "acceleration": [
          -6.255902541257135e-17, -3.225281803986794e-17, -5.1779547808156045e-15,
          1.780417173900127e-15, -3.5374811422653417e-15, -2.361355555471349e-17,
          6.39340711258892e-14, 6.684516850273149e-14, 4.231982700395093e-15, 4.103841072382335e-14,
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          4.119158366744054e-15
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        "maxEquationResidualSI": 1.6155871338926322e-27,
        "staticResidualSI": 1.2050804798491299e-11
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        "id": "B-asymmetric-vertical",
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        "contactGeneralizedSI": [
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        "maxEquationResidualSI": 4.263256414560601e-14
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      {
        "id": "C-longitudinal",
        "incrementN": [100, 0, 0],
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        "contactGeneralizedSI": [
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          3334.3913761344643, -28.332918823968157, 0, 0, 0
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        "maxEquationResidualSI": 4.263256414560601e-14
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      {
        "id": "D-drive",
        "torqueNm": 10,
        "q": [
          0, 0, 0.7356848414512168, 1.0766151206772268e-17, -0.0000045462535551970234, 0,
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        "qDot": [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0],
        "rotorPowerW": 100,
        "acceleration": [
          -0.00028222602257718763, 0.000004145279502599194, -0.00012375596604255137,
          -0.00020121693395879514, -0.005359626816688102, -0.0000053916451020238775,
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        "actuationGeneralizedSI": [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0],
        "maxEquationResidualSI": 5.044575868140555e-15
      },
      {
        "id": "D-brake",
        "torqueNm": -10,
        "q": [
          0, 0, 0.7356848414512168, 1.0766151206772268e-17, -0.0000045462535551970234, 0,
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          -0.0023506629970608136, 0, 0, 0, 0
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        "qDot": [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0],
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        "acceleration": [
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          0.00020121693396235601, 0.005359626816681028, 0.000005391645101976648,
          0.0033406755172981618, 0.0071802858620615495, -0.0075281746252984574,
          -0.00719920386314473, -10.005312642867885, -0.0052579808099053015, -0.005466195385754879,
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        "actuationGeneralizedSI": [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0],
        "maxEquationResidualSI": 1.9628396130677572e-15
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      {
        "id": "E-nonzero-attitude",
        "q": [1, -2, 0.74, 0.12, -0.17, 0.31, 0.012, -0.007, 0.009, -0.011, 0.2, -0.1, 0.4, 0.3],
        "qDot": [2, -0.5, 0.1, 0.2, -0.3, 0.4, 0.1, -0.05, 0.04, -0.07, 20, 15, -10, 25],
        "acceleration": [
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          -0.2736299486220485, -0.04137174311803517, -15.942562666650145, -78.42518178504774,
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          -1.295469621218044, -0.7357983063781168
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        "contactGeneralizedSI": [
          89.46912339342879, 53.807768576771636, 3300, 2756.577944185594, -4616.301522980874,
          -49.83891211676493, 3197.2444134997077, 0, 0, 0, -26.17294905899186, 0, 0, 0
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        "maxEquationResidualSI": 1.8189894035458565e-12
      },
      {
        "id": "F-energy-balance",
        "checks": [
          {
            "geometry": "parallel",
            "dampingNspm": 0,
            "independentEnergyRateW": -0.000018092123355017975,
            "expectedDissipationW": 0,
            "absoluteErrorW": 0.000018092123355017975
          },
          {
            "geometry": "parallel",
            "dampingNspm": 1500,
            "independentEnergyRateW": -16.866608473264932,
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            "absoluteErrorW": 0.00001901410823279548
          },
          {
            "geometry": "generic",
            "dampingNspm": 0,
            "independentEnergyRateW": -0.00001050769545448323,
            "expectedDissipationW": 0,
            "absoluteErrorW": 0.00001050769545448323
          },
          {
            "geometry": "generic",
            "dampingNspm": 1500,
            "independentEnergyRateW": -14.768901692150392,
            "expectedDissipationW": -14.768897465382175,
            "absoluteErrorW": 0.000004226768217208132
          },
          {
            "geometry": "skew",
            "dampingNspm": 0,
            "independentEnergyRateW": -0.000021404957806225863,
            "expectedDissipationW": 0,
            "absoluteErrorW": 0.000021404957806225863
          },
          {
            "geometry": "skew",
            "dampingNspm": 1500,
            "independentEnergyRateW": -15.081484238332147,
            "expectedDissipationW": -15.0814744734087,
            "absoluteErrorW": 0.00000976492344584301
          }
        ]
      }
    ],
    "rejected": [
      {
        "name": "singular physical tie-rod branch",
        "diagnostic": "front: left steering design loses constraint rank; revise steering-arm/rack geometry."
      },
      {
        "name": "near-singular physical branch excluded from mechanics",
        "diagnostic": "frontLeft: regular physical tie-rod branch is required."
      },
      {
        "name": "orientation chart",
        "diagnostic": "ZYX chart requires finite angles and |pitch| < acos(0.2)."
      },
      {
        "name": "outside travel",
        "diagnostic": "frontLeft: jounce is outside the declared regular travel interval."
      },
      {
        "name": "central stencil outside travel",
        "diagnostic": "Central inertia stencil leaves the qualified chart/branch: frontLeft: jounce is outside the declared regular travel interval."
      },
      {
        "name": "negative mass",
        "diagnostic": "Finite positive mass and gravity in [0,20] m/s² are required."
      },
      { "name": "nonphysical body inertia", "diagnostic": "Mass diagonal is not positive." },
      {
        "name": "impossible static free length",
        "diagnostic": "Static line search rejected every bounded candidate at iteration 4; residual 307183.0640989359."
      },
      { "name": "invalid contact", "diagnostic": "frontLeft: invalid contact supplies no force." }
    ]
  },
  "optimizedRK4": {
    "schemaVersion": "vehiclelab.optimized-rk4-evidence.v1",
    "evidenceId": "vehiclelab.ml61.numerical-qualification.v1",
    "status": "PASS",
    "baseline": "4330f9f134ee9e548beb79eedfa5b6fe0de36335",
    "model": "Generic ML59 fixed-rack reference; no measured correlation or public assembly mapping.",
    "budgets": {
      "positionHistoryAbsoluteSI": 2e-8,
      "rateHistoryAbsoluteSI": 0.000003,
      "referenceSelfDifferenceSI": 0.000001,
      "minimumRefinementRatio": 8,
      "maximumRefinementRatio": 32,
      "staticDriftSI": 1e-9,
      "energyBalanceFineJ": 0.000002,
      "supportGradientSI": 0.00002,
      "algebraicResidualSI": 0.000001
    },
    "counts": {
      "scenarios": 4,
      "refinementRuns": 12,
      "independentTrajectories": 8,
      "envelopeRuns": 6,
      "physicalStates": 28
    },
    "supportGradientError": 1.2720738595817238e-7,
    "movingSupportAudits": [
      {
        "q": [
          0, 0, 0.7356848414512168, 0.01000000000000001, -0.005004546253555197, 0,
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        ],
        "maximumGradientErrorSI": 3.961708898714278e-7,
        "contactStates": ["loaded", "loaded", "loaded", "loaded"]
      },
      {
        "q": [
          0, 0, 0.7356848414512168, -0.00999999999999999, 0.004995453746444803, 0,
          -0.003361630441525305, -0.0023616304415252903, -0.002350662997060796,
          -0.0023506629970608136, 0, 0, 0, 0
        ],
        "maximumGradientErrorSI": 4.2065948901992556e-7,
        "contactStates": ["loaded", "loaded", "loaded", "loaded"]
      }
    ],
    "rows": [
      {
        "scenario": "static",
        "config": {
          "scenario": "static",
          "amplitude": 0,
          "durationS": 0.04,
          "stepS": 0.001,
          "outputStride": 1
        },
        "maxima": {
          "position": 7.865080114966005e-12,
          "rate": 4.189729835770791e-10,
          "referenceSelf": 4.980734843060525e-10,
          "maximumChangeFromInitialSI": 1.400782738861603e-15
        },
        "refinement": {
          "coarseDifference": 2.6509436198885448e-15,
          "fineDifference": 2.646509162525297e-15,
          "ratio": null,
          "observedOrder": null
        },
        "reference": "Independent Cartesian Newton–Euler; fixed extrapolated modified midpoint 2/4/6/8 substeps, checked against 2/4/6. No production RK4 or dynamics imports.",
        "runs": [
          {
            "definition": {
              "name": "Unmeasured symmetric physical Double-Wishbone reference",
              "gravityMps2": 9.80665,
              "sprungMassKg": 1200,
              "bodyInertiaKgM2": [
                [600, 0, 0],
                [0, 1800, 0],
                [0, 0, 2000]
              ],
              "front": {
                "mechanism": {
                  "schemaVersion": "vehiclelab.steering-study.v1",
                  "mechanism": "double-wishbone-rack-tie-rod",
                  "headingConstraint": "physical-tie-rod",
                  "steeringAxis": "lower-to-upper-ball-joints",
                  "carrierConvention": "body-left-spindle-horizontal-forward",
                  "metadata": {
                    "name": "VehicleLab Generic Front Rack & Tie Rod (unmeasured)",
                    "source": "generic"
                  },
                  "trackM": 1.6,
                  "rack": {
                    "referenceM": [-0.12, 0, -0.12],
                    "axis": [0, 1, 0],
                    "leftOffsetM": 0.46,
                    "rightOffsetM": -0.46,
                    "minimumM": -0.03,
                    "maximumM": 0.03
                  },
                  "left": {
                    "suspension": {
                      "schemaVersion": "vehiclelab.suspension.v1",
                      "mechanism": "double-wishbone",
                      "metadata": {
                        "name": "VehicleLab Generic Front Double Wishbone",
                        "source": "generic"
                      },
                      "orientationConstraint": "chassis-forward-projection",
                      "hardpoints": {
                        "upperFront": [0.14, -0.34, 0.16],
                        "upperRear": [-0.14, -0.34, 0.16],
                        "upperBall": [0, -0.06, 0.15],
                        "lowerFront": [0.18, -0.4, -0.14],
                        "lowerRear": [-0.18, -0.4, -0.14],
                        "lowerBall": [0, -0.05, -0.16],
                        "springUpper": [0.04, -0.29, 0.27],
                        "springLower": [0.04, -0.15, -0.15],
                        "damperUpper": [-0.05, -0.27, 0.26],
                        "damperLower": [-0.05, -0.13, -0.15],
                        "spindleReference": [0, 0.12, 0]
                      }
                    },
                    "outerTieRodM": [-0.12, -0.06, -0.12],
                    "tieRodLengthM": 0.27999999999999997
                  },
                  "right": {
                    "suspension": {
                      "schemaVersion": "vehiclelab.suspension.v1",
                      "mechanism": "double-wishbone",
                      "metadata": {
                        "name": "VehicleLab Generic Front Double Wishbone",
                        "source": "generic"
                      },
                      "orientationConstraint": "chassis-forward-projection",
                      "hardpoints": {
                        "upperFront": [0.14, 0.34, 0.16],
                        "upperRear": [-0.14, 0.34, 0.16],
                        "upperBall": [0, 0.06, 0.15],
                        "lowerFront": [0.18, 0.4, -0.14],
                        "lowerRear": [-0.18, 0.4, -0.14],
                        "lowerBall": [0, 0.05, -0.16],
                        "springUpper": [0.04, 0.29, 0.27],
                        "springLower": [0.04, 0.15, -0.15],
                        "damperUpper": [-0.05, 0.27, 0.26],
                        "damperLower": [-0.05, 0.13, -0.15],
                        "spindleReference": [0, -0.12, 0]
                      }
                    },
                    "outerTieRodM": [-0.12, 0.06, -0.12],
                    "tieRodLengthM": 0.27999999999999997
                  }
                },
                "originBodyM": [1.35, 0, -0.45],
                "fixedRackM": 0
              },
              "rear": {
                "mechanism": {
                  "schemaVersion": "vehiclelab.steering-study.v1",
                  "mechanism": "double-wishbone-rack-tie-rod",
                  "headingConstraint": "physical-tie-rod",
                  "steeringAxis": "lower-to-upper-ball-joints",
                  "carrierConvention": "body-left-spindle-horizontal-forward",
                  "metadata": {
                    "name": "VehicleLab Generic Front Rack & Tie Rod (unmeasured)",
                    "source": "generic"
                  },
                  "trackM": 1.6,
                  "rack": {
                    "referenceM": [-0.12, 0, -0.12],
                    "axis": [0, 1, 0],
                    "leftOffsetM": 0.46,
                    "rightOffsetM": -0.46,
                    "minimumM": -0.03,
                    "maximumM": 0.03
                  },
                  "left": {
                    "suspension": {
                      "schemaVersion": "vehiclelab.suspension.v1",
                      "mechanism": "double-wishbone",
                      "metadata": {
                        "name": "VehicleLab Generic Front Double Wishbone",
                        "source": "generic"
                      },
                      "orientationConstraint": "chassis-forward-projection",
                      "hardpoints": {
                        "upperFront": [0.14, -0.34, 0.16],
                        "upperRear": [-0.14, -0.34, 0.16],
                        "upperBall": [0, -0.06, 0.15],
                        "lowerFront": [0.18, -0.4, -0.14],
                        "lowerRear": [-0.18, -0.4, -0.14],
                        "lowerBall": [0, -0.05, -0.16],
                        "springUpper": [0.04, -0.29, 0.27],
                        "springLower": [0.04, -0.15, -0.15],
                        "damperUpper": [-0.05, -0.27, 0.26],
                        "damperLower": [-0.05, -0.13, -0.15],
                        "spindleReference": [0, 0.12, 0]
                      }
                    },
                    "outerTieRodM": [-0.12, -0.06, -0.12],
                    "tieRodLengthM": 0.27999999999999997
                  },
                  "right": {
                    "suspension": {
                      "schemaVersion": "vehiclelab.suspension.v1",
                      "mechanism": "double-wishbone",
                      "metadata": {
                        "name": "VehicleLab Generic Front Double Wishbone",
                        "source": "generic"
                      },
                      "orientationConstraint": "chassis-forward-projection",
                      "hardpoints": {
                        "upperFront": [0.14, 0.34, 0.16],
                        "upperRear": [-0.14, 0.34, 0.16],
                        "upperBall": [0, 0.06, 0.15],
                        "lowerFront": [0.18, 0.4, -0.14],
                        "lowerRear": [-0.18, 0.4, -0.14],
                        "lowerBall": [0, 0.05, -0.16],
                        "springUpper": [0.04, 0.29, 0.27],
                        "springLower": [0.04, 0.15, -0.15],
                        "damperUpper": [-0.05, 0.27, 0.26],
                        "damperLower": [-0.05, 0.13, -0.15],
                        "spindleReference": [0, -0.12, 0]
                      }
                    },
                    "outerTieRodM": [-0.12, 0.06, -0.12],
                    "tieRodLengthM": 0.27999999999999997
                  }
                },
                "originBodyM": [-1.35, 0, -0.45],
                "fixedRackM": 0
              },
              "corners": {
                "frontLeft": {
                  "unsprungMassKg": 40,
                  "wheelAxialInertiaKgM2": 1,
                  "wheelTransverseInertiaKgM2": 0.6,
                  "installedSpringStiffnessNpm": 50000,
                  "springFreeLengthM": 0.5327188724235732,
                  "installedDamperNspm": 1500,
                  "minimumJounceM": -0.04,
                  "maximumJounceM": 0.04,
                  "effectiveVerticalRadiusM": 0.3,
                  "normalStiffnessNpm": 200000
                },
                "frontRight": {
                  "unsprungMassKg": 40,
                  "wheelAxialInertiaKgM2": 1,
                  "wheelTransverseInertiaKgM2": 0.6,
                  "installedSpringStiffnessNpm": 50000,
                  "springFreeLengthM": 0.5327188724235732,
                  "installedDamperNspm": 1500,
                  "minimumJounceM": -0.04,
                  "maximumJounceM": 0.04,
                  "effectiveVerticalRadiusM": 0.3,
                  "normalStiffnessNpm": 200000
                },
                "rearLeft": {
                  "unsprungMassKg": 40,
                  "wheelAxialInertiaKgM2": 1,
                  "wheelTransverseInertiaKgM2": 0.6,
                  "installedSpringStiffnessNpm": 50000,
                  "springFreeLengthM": 0.5327188724235732,
                  "installedDamperNspm": 1500,
                  "minimumJounceM": -0.04,
                  "maximumJounceM": 0.04,
                  "effectiveVerticalRadiusM": 0.3,
                  "normalStiffnessNpm": 200000
                },
                "rearRight": {
                  "unsprungMassKg": 40,
                  "wheelAxialInertiaKgM2": 1,
                  "wheelTransverseInertiaKgM2": 0.6,
                  "installedSpringStiffnessNpm": 50000,
                  "springFreeLengthM": 0.5327188724235732,
                  "installedDamperNspm": 1500,
                  "minimumJounceM": -0.04,
                  "maximumJounceM": 0.04,
                  "effectiveVerticalRadiusM": 0.3,
                  "normalStiffnessNpm": 200000
                }
              }
            },
            "config": {
              "scenario": "static",
              "amplitude": 0,
              "durationS": 0.04,
              "stepS": 0.004,
              "outputStride": 1
            },
            "initialState": [
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            "channels": {
              "time": [
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              "worldX": [
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                -1.5707713787788177e-20, -2.4993121290371064e-20, -3.272762017847164e-20,
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              "worldY": [
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                1.1226894286267587e-20, 1.417688469320142e-20, 2.290117624468885e-20,
                3.655887269975465e-20, 5.526422588998163e-20, 7.483688512950063e-20,
                9.305093265404218e-20
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              "worldZ": [
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                0.7356848414512168, 0.7356848414512168, 0.7356848414512168, 0.7356848414512168,
                0.7356848414512168, 0.7356848414512168, 0.7356848414512168
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              "rollRH": [
                1.0766151206772268e-17, 1.0779652679329669e-17, 1.0815408067872573e-17,
                1.0863821700765423e-17, 1.0915495633124385e-17, 1.0944917316163037e-17,
                1.0972732537417855e-17, 1.0978084211756358e-17, 1.0951426077848257e-17,
                1.0880103726870936e-17, 1.0768523368859122e-17
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  ],
  "scope": "14 DOF / 28 physical states, same generic mechanism/support/load assumptions; independent Cartesian qualification. No stiff-solver or measured-vehicle accuracy claim."
}
