Diurnal Aberration Amplitude at Equator Calculator

Equatorial first-order diurnal aberration v/c amplitude in arcseconds, no source projection or terrestrial coordinate/geodesy model. Caller independently establishes frames, units, epoch, covariance and instrument context; not an identity, association or astrometric quality certification.

Description

Diurnal aberration reflects the observer's rotational velocity relative to light speed.

Diurnal aberration reflects the observer's rotational velocity relative to light speed.1

An equatorial amplitude is distinct from a projected correction at a specific sky position. Use Diurnal Aberration Amplitude at Equator Calculator to evaluate the supplied inputs under the model explained below.

When to use Diurnal Aberration Amplitude at Equator Calculator

Use Diurnal Aberration Amplitude at Equator 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 Diurnal Aberration Amplitude at Equator Calculator and understand its results

  1. Establish the units, measurement scope and model assumptions before entering values.
  2. Enter Caller equatorial rotation speed meters per second using the field table and validation rules below, then run the tool.
  3. Read First order diurnal aberration arcsec; 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
callerEquatorialRotationSpeedMetersPerSecondCaller equatorial rotation speed meters per secondnumberRequired; constraints below

Enter nonnegative equatorial rotational speed in m/s. Divide by 299792458 m/s and convert the first-order angle from radians to arcsec. Zero speed returns zero; no latitude, hour angle or projected vector correction occurs.

aberrationArcsec=(rotationSpeed/c)×180/π×3600

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

Output fieldMeaningValue type
firstOrderDiurnalAberrationArcsecFirst order diurnal aberration arcsecnumber
json
{
  "input": {
    "callerEquatorialRotationSpeedMetersPerSecond": 465.1
  },
  "output": {
    "firstOrderDiurnalAberrationArcsec": 0.320000583155179
  }
}

Limitations and assumptions

An equatorial amplitude is distinct from a projected correction at a specific sky position. 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 Aberration Displacement Ellipse Major Axis Arcsec Calculator for a related task: Annual aberration traces an ideal ellipse whose shape depends on ecliptic latitude.

Use Equation of the Equinoxes Component Summator for a related task: The equation of the equinoxes connects nutation terms with sidereal-time conventions.

References

  1. Diurnal Aberration Amplitude at Equator Calculator — tool.io

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