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Longitude Difference Unwrapped Sign

Subtract explicit unwrapped longitudes in degrees without choosing a shortest dateline displacement.

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Description

Calculate a signed longitude difference without wrapping around the date line.

Geographic coordinates use explicit angular, axis and vertical-datum conventions. Unwrapped longitude difference differs from the shortest circular separation, and a north-based bearing differs from a rightward-zero screen rotation. Ellipsoidal and orthometric heights require a compatible geoid-undulation model.

Calculate a signed longitude difference without wrapping around the date line.

When to use this tool

Use Longitude Difference Unwrapped Sign when checking the stated geographic label, angular or height-reference convention.

How to use the tool and how it works

  1. Enter firstLongitudeDegrees, secondLongitudeDegrees. 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 signedGap. Use the output convention below.

Return secondLongitudeDegrees-firstLongitudeDegrees without wrapping.1

Input fieldMeaning and unitsAccepted input
firstLongitudeDegreesFirst Longitude DegreesRequired. Finite number.
secondLongitudeDegreesSecond Longitude DegreesRequired. Finite number.
Output fieldInterpretationReturned shape
signedGapRaw second-first longitude degrees with no circular wrapping.Required. Finite number.
json
{
  "input": {
    "firstLongitudeDegrees": 12,
    "secondLongitudeDegrees": 17
  },
  "output": {
    "signedGap": 5
  }
}

Limitations and assumptions

  • The signed difference may exceed 180 or 360 degrees; it is not the shortest antimeridian-aware separation or a geographic distance.
  • 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 authoritative coordinate/datum definitions and appropriate geodesic, projection and geoid models for actual locations, distances and height conversion.

References

  1. Calculation and input contract: geography/longitude-difference-unwrapped-sign — tool.io

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