Station Component Velocity Vector Calculator

ActualindependentlysurveyedlocalENUvelocitymagnitudes,norefereceframe/geodesyconversion or inferredice dynamics. Actual independent units,calibration,measurement definitions/coverage and model applicability;not a climate forecast,causal determination,geodesy operation or safe travel/design approval.

Description

Surveyed east, north and up velocities can be combined into horizontal and total speed magnitudes.

Surveyed east, north and up velocities can be combined into horizontal and total speed magnitudes.1

All components need the same reference frame and time unit.

When to use Station Component Velocity Vector Calculator

Use this tool to apply the stated station component velocity vector calculator operation with an explicit input and unit basis.

How to use Station Component Velocity Vector Calculator and how it works

  1. Establish the measurement basis and units described above.
  2. Enter actualStationEastVelocity, actualStationNorthVelocity, actualStationUpVelocity and run the tool.
  3. Read result.speedMagnitude, result.horizontalSpeed using the output meanings below.
  4. If input is rejected, correct the stated type, range, ordering or alignment issue and rerun; review successful results under the declared convention.
Input fieldMeaningValue typeRequirement
actualStationEastVelocityStation east velocity, on the basis specified in the algorithm.numberrequired; finite; further conditions in the algorithm
actualStationNorthVelocityStation north velocity, on the basis specified in the algorithm.numberrequired; finite; further conditions in the algorithm
actualStationUpVelocityStation up velocity, on the basis specified in the algorithm.numberrequired; finite; further conditions in the algorithm

Accept finite signed components. Use hypot(east,north) for horizontal speed and hypot(east,north,up) for total speed.

horizontal = √(E²+N²); total = √(E²+N²+U²)

Apply the declared units, ordering and branch conditions.

Output fieldMeaningValue type
resultObject containing the declared output fields.object
result.speedMagnitudeTotal nonnegative three-component speed in the input velocity unit.number
result.horizontalSpeedNonnegative east/north speed in the input velocity unit.number
json
{
  "input": {
    "actualStationEastVelocity": -3,
    "actualStationNorthVelocity": 4,
    "actualStationUpVelocity": 0
  },
  "output": {
    "result": {
      "speedMagnitude": 5,
      "horizontalSpeed": 5
    }
  }
}

Limitations and assumptions

The output applies the declared operation to the values you supply. Establish the measurement basis, units, coefficients and any caller-selected rules before interpreting it. The tool does not independently collect or verify observations or decide whether a model or reference applies.

Supply explicit required fields with the documented types and dense aligned arrays. Unknown fields, wrong types and nonfinite numbers are rejected. Branch-specific constraints are explained above. A successful false boolean, negative signed difference, empty slice or unresolved tie is distinct from an input error. Very large inputs or outputs may be rejected by shared resource limits.

Alternative or Complementary methods

For a related operation, use LOS to Horizontal Velocity Decomposition Calculator. Two independent line-of-sight observations can resolve two horizontal velocity components once vertical contributions have been removed.

For a related operation, use Feature Tracking Displacement Rate Calculator. Feature tracking records displacement between matched observations over an elapsed interval.

References

  1. Station Component Velocity Vector Calculator — tool.io

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