Pair Separation Arcseconds Decimal to mas Precision Formatter

Convert observed arcseconds to mas and explicitly requested fixed-decimal representation; no claim measurement precision increased by formatting. Caller independently establishes frames, units, epoch, covariance and instrument context; not an identity, association or astrometric quality certification.

Description

Milliarcsecond formatting is a unit conversion followed by chosen decimal display precision.

Milliarcsecond formatting is a unit conversion followed by chosen decimal display precision.1

Display rounding does not create additional observational accuracy. Use Pair Separation Arcseconds Decimal to mas Precision Formatter to evaluate the supplied inputs under the model explained below.

When to use Pair Separation Arcseconds Decimal to mas Precision Formatter

Use Pair Separation Arcseconds Decimal to mas Precision Formatter to evaluate the supplied inputs under the model explained below. Establish the units, measurement scope and model assumptions before entering values.

How to use Pair Separation Arcseconds Decimal to mas Precision Formatter and understand its results

  1. Establish the units, measurement scope and model assumptions before entering values.
  2. Enter Observed separation arcsec, Caller mas decimal places using the field table and validation rules below, then run the tool.
  3. Read Separation mas, Formatted separation mas; interpret the units, signs, ordering and unknown-value placeholders described below.
  4. Correct reported input errors and rerun. Apply successful results according to their specific meanings and check the assumptions before using them in a decision.
Input fieldMeaningValue typeRequirement
observedSeparationArcsecObserved separation arcsecnumberRequired; constraints below
callerMasDecimalPlacesCaller mas decimal placesnumberRequired; constraints below

Enter nonnegative separation in arcsec and integer decimal places 0–12. Multiply by 1000 for mas, require mas<1e21, and format using JavaScript toFixed at the requested precision. Return both the unrounded numeric mas and rounded display string. No measurement uncertainty is reduced.

separationMas=1000×arcsec; display=separationMas.toFixed(callerDecimals)

Use the field order, units and branch conditions described above.

Output fieldMeaningValue type
separationMasSeparation masnumber
formattedSeparationMasFormatted separation masstring
json
{
  "input": {
    "observedSeparationArcsec": 1.2345,
    "callerMasDecimalPlaces": 2
  },
  "output": {
    "separationMas": 1234.5,
    "formattedSeparationMas": "1234.50"
  }
}

Limitations and assumptions

Display rounding does not create additional observational accuracy. Apply the exact scope and assumptions explained above.

All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse arrays fail validation. Domain-specific bounds, alignments and supported tokens are explained above; extremely large inputs or outputs can also be rejected. Input errors differ from successful false results, empty match lists and unknown-evidence placeholders.

Alternative or Complementary methods

Use Speckle Interferometry Diffraction Limit lambda/D Resolution Check for a related task: The Rayleigh relation describes ideal circular-aperture angular resolution.

Use Optical versus Physical Pair Background Contamination Flag Checker for a related task: A close apparent pair can have contamination evidence without an established physical association.

References

  1. Pair Separation Arcseconds Decimal to mas Precision Formatter — tool.io

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