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Photometry & distance · θ = 2 arctan(D / 2d)

Angular Diameter

How large an object of known size appears at a given distance. The Moon and the Sun span almost exactly the same half-degree from Earth — the coincidence that makes total solar eclipses possible.

Angular diameter1864.5arcsec

Formula: θ = 2 arctan(D / 2d)

Worked example

With the default inputs, angular diameter evaluates to 1864.5 arcsec — The Moon → ~1865″ (0.52°). The validator recomputes this against the known value on every build, so the formula is checked, not asserted.

Highlights

  • The Moon: ~0.52°

Knowledge connections

Sources

The primary and reference sources this topic draws on.

  • NASANational Aeronautics and Space Administration

    Mission data, planetary science, space telescopes, and public-domain imagery.

    Most NASA-produced imagery is in the public domain; individual items are checked for usage terms before publication.