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UTM Scale Factor at Central Meridian 0.9996 Lookup

Return the defining UTM central-meridian scale k0=0.9996 for either hemisphere; no zone selection, point scale, convergence or coordinate projection.

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Description

Look up the UTM central-meridian scale factor 0.9996 using the exact projection identifier.

Geodesy distinguishes a mathematical reference ellipsoid, a realized coordinate datum and the physical gravity field. Geodetic latitude follows the ellipsoid normal; geocentric latitude follows a radius from the center. Ellipsoidal height, orthometric height and geoid undulation are separate signed quantities. Keep the declared ellipsoid, coordinate axes, angular units and time scale with a result.

Look up the UTM central-meridian scale factor 0.9996 using the exact projection identifier.

UTM specializes transverse Mercator with a zone-dependent central meridian and central scale 0.9996. A central-meridian constant alone does not describe distortion at an arbitrary point.1

When to use this tool

Use this tool when you need to look up the UTM central-meridian scale factor 0.9996 using the exact projection identifier.

How to use the tool and how it works

  1. Enter projection using the definitions below.
  2. Run the operation. Resolve input-format errors before interpreting an output.
  3. Read result.centralMeridianScale, result.projection, using the stated boundary, ordering, sign and absence conventions.

Require the exact projection string UTM and return its central-meridian scale factor 0.9996.2

Input fieldMeaning and unitsAccepted input
projectionExact supported projection identifier: UTM.Text, at most 8,192 UTF-16 code units; narrower grammar/range rules also apply.
Output fieldInterpretation
resultObject containing the fields below.
result.centralMeridianScaleDimensionless UTM central-meridian scale 0.9996.
result.projectionEchoed exact projection identifier UTM.
json
{
  "input": {
    "projection": "UTM"
  },
  "output": {
    "result": {
      "centralMeridianScale": 0.9996,
      "projection": "UTM"
    }
  }
}

Limitations and assumptions

  • This is a dimensionless central-meridian constant, not the point scale everywhere in a zone. No zone, hemisphere, easting or northing is inferred.
  • All quantities are finite and retain the units stated for this operation. Ellipsoid-parameter tools use semi-major axis 1–10⁸ m and dimensionless flattening 0–0.02; explicit-axis tools use 0.9a≤b≤a unless a tighter bound is stated. These tools do not fetch datums, geoid grids, satellite observations or Earth-orientation updates.
  • Every declared outer field is required and unknown outer fields are rejected. Strings and JSON text have size limits, lists are bounded to 128 entries, and JSON nesting/node counts are bounded. Tighter operation-specific bounds stated above take precedence.
  • Numeric results must be finite. Large physical magnitudes are allowed by the output evidence checks, while integer fields and source schemas retain their exactness rules. Source indexes are zero-based. Floating-point residues can remain even where an ideal formula gives an exact zero.

Alternative or Complementary methods

Use a coordinate transform for a change of representation and explicit datum parameters for a change of reference frame. Preserve model and convergence metadata, and use observation and datum information appropriate to a real survey before interpreting a computed tolerance as accuracy.

References

  1. Universal Transverse Mercator: projection parameters — PROJ

  2. Tool behavior and example: UTM Scale Factor at Central Meridian 0.9996 Lookup — tool.io

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