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Stellar Parallax Distance — result sheet
Calculate an astronomical distance from a positive stellar parallax entered in arcseconds, reporting parsecs and light-years.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Distance d = 1/p parsecs when p is parallax in arcseconds; light-years use the derived SI parsec and Julian-year conversion.
This calculator applies the small-angle stellar-parallax relation: a positive parallax of one arcsecond corresponds to one parsec, so distance in parsecs is the reciprocal of the arcsecond value. It reports parsecs and light-years, not an angular result or a measurement-quality assessment.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Stellar parallax — arcseconds; Finite positive parallax angle in arcseconds.; minimum 1.0E-6; maximum 3600
Worked example
| Input | Value |
|---|---|
| Stellar parallax | 0.1 |
A 0.1 arcsecond parallax corresponds to 10 pc, about 32.615638 ly.
Assumptions and limits
- The entered parallax is a finite positive angle in arcseconds and represents one consistent stellar-parallax measurement convention.
- The reciprocal relation uses the small-angle parsec convention; one parsec is derived from the exact astronomical unit and arcseconds-per-radian relation, and one light-year uses exact c and a Julian year.
- Uncertainty, bias correction, binary motion, extinction, catalog calibration, and stellar distance-quality judgments are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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