Systematic Pattern Residual First-Order Plate Solution Coefficient Count Checker
First-order affine 2 coordinate plate solution has 6 coefficients and 2 N−6 nominal scalar DOF; sufficient count does not establish design rank or conditioning. Caller independently establishes frames, units, epoch, covariance and instrument context; not an identity, association or astrometric quality certification.
Description
A two-dimensional affine plate model has six coefficients.
A two-dimensional affine plate model has six coefficients.1
Nominal scalar degrees of freedom do not establish geometric rank or sufficient reference-star distribution. Use Systematic Pattern Residual First-Order Plate Solution Coefficient Count Checker to evaluate the supplied inputs under the model explained below.
When to use Systematic Pattern Residual First-Order Plate Solution Coefficient Count Checker
Use Systematic Pattern Residual First-Order Plate Solution Coefficient Count Checker to evaluate the supplied inputs under the model explained below. Establish the units, measurement scope and model assumptions before entering values.
How to use Systematic Pattern Residual First-Order Plate Solution Coefficient Count Checker and understand its results
- Establish the units, measurement scope and model assumptions before entering values.
- Enter Observed matched reference star count, Observed affine coefficient count using the field table and validation rules below, then run the tool.
- Read Affine coefficient count matches, Nominal scalar fit degrees of freedom; interpret the units, signs, ordering and unknown-value placeholders described below.
- 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 field | Meaning | Value type | Requirement |
|---|---|---|---|
| observedMatchedReferenceStarCount | Observed matched reference star count | number | Required; constraints below |
| observedAffineCoefficientCount | Observed affine coefficient count | number | Required; constraints below |
Enter integer reference-star and observed coefficient counts 0–10000. Return whether coefficients equal 6 and nominal scalar degrees of freedom 2×starCount−6 regardless of the supplied coefficient count. Negative degrees of freedom are allowed. No matrix rank, collinearity or residual-fit quality is checked.
affineCountMatches=observedCount==6; nominalDof=2×stars−6 Use the field order, units and branch conditions described above.
| Output field | Meaning | Value type |
|---|---|---|
| affineCoefficientCountMatches | Affine coefficient count matches | boolean |
| nominalScalarFitDegreesOfFreedom | Nominal scalar fit degrees of freedom | number |
{
"input": {
"observedMatchedReferenceStarCount": 3,
"observedAffineCoefficientCount": 6
},
"output": {
"affineCoefficientCountMatches": true,
"nominalScalarFitDegreesOfFreedom": 0
}
}Limitations and assumptions
Nominal scalar degrees of freedom do not establish geometric rank or sufficient reference-star distribution. 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 Astrometric Residual RMS Scatter Quality Grade Rater for a related task: Radial residual RMS combines paired east and north residuals.
Use Plate Scale arcsec per Pixel CCD Calculator for a related task: Pixel pitch and focal length determine a small-angle plate scale.
References
Similar or alternative tools
- Astrometric Residual RMS Scatter Quality Grade Rater
Radial residual RMS combines paired east and north residuals.
- Plate Scale arcsec per Pixel CCD Calculator
Pixel pitch and focal length determine a small-angle plate scale.