Mooring Watch Circle Radius Drag Calculator

Actual offset envelope with matched drag witness, not catenary prediction, rope-length radius heuristic or mooring safety. Caller independently establishes units, regime, calibration and applicability; this does not establish design-code compliance, authenticity, operational safety, treatment efficacy or a validated forecast.

Description

A mooring watch circle summarizes the observed horizontal excursion of a moored object.

A mooring watch circle summarizes the observed horizontal excursion of a moored object.1

The observed envelope can have several equally distant positions with different drag measurements.

When to use Mooring Watch Circle Radius Drag Calculator

Use this tool to calculate or review the supplied observations under the stated rules. Match the observation interval, units, datum, coordinate signs and model regime.

How to use Mooring Watch Circle Radius Drag Calculator and understand its results

  1. Match the observation interval, units, datum, coordinate signs and model regime.
  2. Enter observedMooringXyOffsetsM, observedMatchedDragLoadsN, using the field meanings and rules below, then run the tool.
  3. Read observedWatchCircleEnvelopeRadiusM, dragAtEnvelopeWitnessN. Inspect nested result fields where present, and review unknown records separately from known matches.
  4. Correct any reported input issue and run again. Before using a successful result, check the stated units, signs, reference scope and observation coverage.
Input fieldMeaningValue typeRequirement
observedMooringXyOffsetsMObserved mooring xy offsets mnumeric matrixRequired
observedMatchedDragLoadsNObserved matched drag loads nlist of numberRequired

Use a nonempty local XY matrix with exactly two columns and aligned nonnegative drag. Compute hypot(x,y) per row, find the maximum radius and return drag values at every exactly tied envelope witness. Coordinates are already local; no GPS conversion occurs.

r_i=√(x_i²+y_i²); envelope=max(r_i)

Use the matching field units and the exact boundary, ordering and reference rules above.

Output fieldMeaningValue type
observedWatchCircleEnvelopeRadiusMObserved watch circle envelope radius mnumber
dragAtEnvelopeWitnessNDrag at envelope witness nlist of number
json
{
  "input": {
    "observedMooringXyOffsetsM": [
      [
        3,
        4
      ],
      [
        0,
        2
      ]
    ],
    "observedMatchedDragLoadsN": [
      10,
      20
    ]
  },
  "output": {
    "observedWatchCircleEnvelopeRadiusM": 5,
    "dragAtEnvelopeWitnessN": [
      10
    ]
  }
}

Limitations and assumptions

The stated observation or model covers only the supplied record and reference regime. It does not fill missing measurements, supply uncertainty estimates or produce a validated forecast.

Missing required fields, unknown fields, wrong types and violated rules return input issues. Numeric values and outputs must be finite. Lists and matrices must be dense, without missing cells. Numeric lists allow at most 10000 entries; ordinary string lists allow at most 128 strings of 128 UTF-16 units each; numeric matrices allow at most 128 rows and 128 columns, subject to narrower requirements above.

Alternative or Complementary methods

For a related step, use Volume Transport Strait Section Calculator: A section transport combines area and signed velocity normal to each sampled cell. For a complementary comparison, use Geostrophic Current From Slope Calculator: Geostrophic surface currents balance a sea-surface pressure gradient with the Coriolis effect.

References

  1. Mooring Watch Circle Radius Drag Calculator — tool.io

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