LOS to Horizontal Velocity Decomposition Calculator

Twoactualindependentlookhorizontal2×2LOSdecomposition,verticalcomponent independentlyremoved,not solve2componentsfromoneLOS;no geodeticframeconversion. Actual independent units,calibration,measurement definitions/coverage and model applicability;not a climate forecast,causal determination,geodesy operation or safe travel/design approval.

Description

Two independent line-of-sight observations can resolve two horizontal velocity components once vertical contributions have been removed.

Two independent line-of-sight observations can resolve two horizontal velocity components once vertical contributions have been removed.1

The projection rows define the matching horizontal geometry.

When to use LOS to Horizontal Velocity Decomposition Calculator

Use this tool to apply the stated los to horizontal velocity decomposition calculator operation with an explicit input and unit basis.

How to use LOS to Horizontal Velocity Decomposition Calculator and how it works

  1. Establish the measurement basis and units described above.
  2. Enter actualMatchedLosVelocities, callerHorizontalProjectionRows and run the tool.
  3. Read result.eastVelocity, result.northVelocity 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
actualMatchedLosVelocitiesTwo line-of-sight velocities aligned with projection rows, with vertical contributions already removed.array of numberrequired; dense; align related rows as specified; further conditions in the algorithm
callerHorizontalProjectionRowsTwo rows [east projection,north projection] defining an invertible 2×2 geometry.array of array of numberrequired; dense; align related rows as specified; further conditions in the algorithm

Require a 2×2 projection matrix, two observations and determinant magnitude at least 1e−8. Solve by the explicit two-equation inverse to return east and north velocities.

[east,north] = inverse(projection matrix) × LOS velocities

Apply the declared units, ordering and branch conditions.

Output fieldMeaningValue type
resultObject containing the declared output fields.object
result.eastVelocitySolved signed east velocity in the input LOS velocity unit.number
result.northVelocitySolved signed north velocity in the same unit.number
json
{
  "input": {
    "actualMatchedLosVelocities": [
      1,
      2
    ],
    "callerHorizontalProjectionRows": [
      [
        1,
        0
      ],
      [
        0,
        1
      ]
    ]
  },
  "output": {
    "result": {
      "eastVelocity": 1,
      "northVelocity": 2
    }
  }
}

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 Station Component Velocity Vector Calculator. Surveyed east, north and up velocities can be combined into horizontal and total speed magnitudes.

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

References

  1. LOS to Horizontal Velocity Decomposition Calculator — tool.io

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