Aberration Displacement Ellipse Major Axis Arcsec Calculator
First-order circular-orbit annual aberration ellipse semiaxes κandκ|sinβ|, major semi axis not full diameter. Caller independently establishes frames, units, epoch, covariance and instrument context; not an identity, association or astrometric quality certification.
Description
Annual aberration traces an ideal ellipse whose shape depends on ecliptic latitude.
Annual aberration traces an ideal ellipse whose shape depends on ecliptic latitude.1
Its semiaxes do not supply a time-dependent position correction. Use Aberration Displacement Ellipse Major Axis Arcsec Calculator to evaluate the supplied inputs under the model explained below.
When to use Aberration Displacement Ellipse Major Axis Arcsec Calculator
Use Aberration Displacement Ellipse Major Axis Arcsec Calculator to evaluate the supplied inputs under the model explained below. Establish the units, measurement scope and model assumptions before entering values.
How to use Aberration Displacement Ellipse Major Axis Arcsec Calculator and understand its results
- Establish the units, measurement scope and model assumptions before entering values.
- Enter Caller annual aberration constant arcsec, Ecliptic latitude degrees using the field table and validation rules below, then run the tool.
- Read Ellipse major semiaxis arcsec, Ellipse minor semiaxis arcsec; 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 |
|---|---|---|---|
| callerAnnualAberrationConstantArcsec | Caller annual aberration constant arcsec | number | Required; constraints below |
| eclipticLatitudeDegrees | Ecliptic latitude degrees | number | Required; constraints below |
Enter nonnegative annual aberration constant in arcsec and latitude from −90 to 90 degrees. Return the constant as major semiaxis and constant×abs(sin(latitude)) as minor semiaxis. Zero latitude gives a line-like ellipse and polar latitude equal semiaxes. No epoch-dependent correction is generated.
majorSemiaxis=callerConstant; minorSemiaxis=callerConstant×abs(sin(eclipticLatitude)) Use the field order, units and branch conditions described above.
| Output field | Meaning | Value type |
|---|---|---|
| ellipseMajorSemiaxisArcsec | Ellipse major semiaxis arcsec | number |
| ellipseMinorSemiaxisArcsec | Ellipse minor semiaxis arcsec | number |
{
"input": {
"callerAnnualAberrationConstantArcsec": 20.49552,
"eclipticLatitudeDegrees": 30
},
"output": {
"ellipseMajorSemiaxisArcsec": 20.49552,
"ellipseMinorSemiaxisArcsec": 10.247759999999998
}
}Limitations and assumptions
Its semiaxes do not supply a time-dependent position correction. 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 Diurnal Aberration Amplitude at Equator Calculator for a related task: Diurnal aberration reflects the observer's rotational velocity relative to light speed.
Use Equation of the Equinoxes Component Summator for a related task: The equation of the equinoxes connects nutation terms with sidereal-time conventions.
References
Similar or alternative tools
- Diurnal Aberration Amplitude at Equator Calculator
Diurnal aberration reflects the observer's rotational velocity relative to light speed.
- Equation of the Equinoxes Component Summator
The equation of the equinoxes connects nutation terms with sidereal-time conventions.