Occultation Chord Duration Seconds from Chord Length Calculator

Occultation specified geometric chord duration under constant independent shadow speed, not central stellar diameter/occulted-object size inference. Caller independently establishes frames, units, epoch, covariance and instrument context; not an identity, association or astrometric quality certification.

Description

Chord duration compares a measured chord with a matched shadow speed.

Chord duration compares a measured chord with a matched shadow speed.1

Those values do not determine the entire occulting body's diameter or event geometry. Use Occultation Chord Duration Seconds from Chord Length Calculator to evaluate the supplied inputs under the model explained below.

When to use Occultation Chord Duration Seconds from Chord Length Calculator

Use Occultation Chord Duration Seconds from Chord Length 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 Occultation Chord Duration Seconds from Chord Length Calculator and understand its results

  1. Establish the units, measurement scope and model assumptions before entering values.
  2. Enter Independently measured chord length meters, Independently measured shadow speed meters per second using the field table and validation rules below, then run the tool.
  3. Read Conditional chord duration seconds; 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
independentlyMeasuredChordLengthMetersIndependently measured chord length metersnumberRequired; constraints below
independentlyMeasuredShadowSpeedMetersPerSecondIndependently measured shadow speed meters per secondnumberRequired; constraints below

Enter nonnegative measured chord length in m and positive matched shadow speed in m/s. Divide for seconds; zero chord returns zero. No body-shape inference, curved-path correction or event prediction is added.

durationSeconds=chordLengthM/shadowSpeedMPerSecond

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

Output fieldMeaningValue type
conditionalChordDurationSecondsConditional chord duration secondsnumber
json
{
  "input": {
    "independentlyMeasuredChordLengthMeters": 100,
    "independentlyMeasuredShadowSpeedMetersPerSecond": 10
  },
  "output": {
    "conditionalChordDurationSeconds": 10
  }
}

Limitations and assumptions

Those values do not determine the entire occulting body's diameter or event geometry. 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 Occultation Shadow Path Ground Speed m/s Calculator for a related task: Planar shadow speed follows displacement between timed positions.

Use Mean Lunar Distance km Lookup for a related task: A lunar-distance reference depends on a statistic and observational context.

References

  1. Occultation Chord Duration Seconds from Chord Length Calculator — tool.io

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