Skip to content

Main content

Transit Bearing Signed Error

Compare explicit observed and reference bearings using shortest signed clockwise-positive error with a positive half-turn tie.

Loading tool…

Description

Calculate a wrapped signed transit-bearing error.

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.

Calculate a wrapped signed transit-bearing error.

When to use this tool

Use Transit Bearing Signed Error when you already have referenceBearingDegrees, observedBearingDegrees and need to calculate a wrapped signed transit-bearing error.

How to use the tool and how it works

  1. Enter referenceBearingDegrees, observedBearingDegrees. 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 signedErrorDegrees. Use the output convention below.

Subtract separately reduced observed/reference bearings, reduce modulo 360 and wrap into (-180,180]; an opposite bearing returns +180.1

Input fieldMeaning and unitsAccepted input
referenceBearingDegreesReference Bearing DegreesRequired. Finite number.
observedBearingDegreesObserved Bearing DegreesRequired. Finite number.
Output fieldInterpretationReturned shape
signedErrorDegreesObserved-reference wrapped into (-180,180]; both antipodal directions return +180.Required. Finite number.
json
{
  "input": {
    "referenceBearingDegrees": 350,
    "observedBearingDegrees": 10
  },
  "output": {
    "signedErrorDegrees": 20
  }
}

Limitations and assumptions

  • Angles use degrees and a common bearing convention; no compass calibration, observation accuracy or navigational instruction is provided.
  • 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/transit-bearing-signed-error — tool.io

Similar or alternative tools