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Sailing Polar Single Speed Ratio

Compare an explicit observed speed with a supplied positive polar-table speed on the same units without interpolating a polar or routing.

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Description

Compare observed sailing speed with a supplied polar reference speed.

Nautical quantities require explicit north, datum, sign, station and unit conventions. A wrapped bearing error has a chosen opposite-direction endpoint, while a circular sector has its own start and end policy. Supplied polar speeds, tank factors and tide labels are references rather than verified navigation or vessel conditions.

Compare observed sailing speed with a supplied polar reference speed.

When to use this tool

Use Sailing Polar Single Speed Ratio when you already have observedSpeed, suppliedPolarSpeed and need to compare observed sailing speed with a supplied polar reference speed.

How to use the tool and how it works

  1. Enter observedSpeed, suppliedPolarSpeed. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read speedRatio, speedDifference. Use the output convention below.

Require observedSpeed>=0 and suppliedPolarSpeed>0; return observed/reference and observed-reference.1

Input fieldMeaning and unitsAccepted input
observedSpeedObserved SpeedRequired. Finite number; minimum 0.
suppliedPolarSpeedSupplied Polar SpeedRequired. Finite number; strictly above 0.
Output fieldInterpretationReturned shape
speedRatioSpeed RatioRequired. Finite number.
speedDifferenceSpeed DifferenceRequired. Finite number.
json
{
  "input": {
    "observedSpeed": 6,
    "suppliedPolarSpeed": 8
  },
  "output": {
    "speedRatio": 0.75,
    "speedDifference": -2
  }
}

Limitations and assumptions

  • Use matching speed units and conditions; the ratio may exceed one and no polar, route, performance cause or safe maneuver is determined.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Use verified charts, observations, vessel documentation and the complete relevant geometric or hydrostatic model for a navigational question. Preserve the local bearing/datum convention and treat scalar factors or sector checks as limited inputs rather than operational decisions.

References

  1. Calculation and input contract: nautical/sailing-polar-single-speed-ratio — tool.io

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