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Latitude Band Center Tool

Arithmetic center of supplied latitude bounds, not an equal-area spherical centroid.

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Description

Return their arithmetic mean and half their difference.

Latitude bands use ordered north/south angular bounds. Coordinate midpoints and membership describe the angular axis; they do not automatically describe an equal-area center or the boundary of a real region.

Return their arithmetic mean and half their difference.

When to use this tool

Use Latitude Band Center when you need a supplied latitude-band comparison or midpoint.

How to use the tool and how it works

  1. Enter south, north. 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 midLatitude, halfWidth. Use the output convention below.

Require south at least -90, north at most 90, and south no greater than north. Return their arithmetic mean and half their difference.1

Input fieldMeaning and unitsAccepted input
southSouthRequired. Finite number; minimum -90.
northNorthRequired. Finite number; maximum 90.
Output fieldInterpretationReturned shape
midLatitudeMid LatitudeRequired. Finite number.
halfWidthHalf WidthRequired. Finite number.
json
{
  "input": {
    "south": -20,
    "north": 40
  },
  "output": {
    "midLatitude": 10,
    "halfWidth": 30
  }
}

Limitations and assumptions

  • Inputs and outputs use the same angular unit, conventionally degrees under these bounds. The midpoint is a latitude-coordinate midpoint, not an equal-area or geodesic center; zero-width bands are allowed.
  • 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 the actual regional geometry or a spherical/ellipsoidal area method when area and spatial extent matter. Keep endpoint inclusion and angular units explicit.

References

  1. Calculation and input contract: geography/latitude-band-center — tool.io

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