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Astral Atlas
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Location · time · angular encounters

Paran explorer

Find planets and stars reaching the horizon or meridian together.

World maps →

Choose a place and a day window

Compare the same sky through different definitions of a day. The chosen window controls which angular encounters appear.

Exactly 24 elapsed hours from the entered local moment. Resolve a repeated clock time when needed.

Choose observation location

Current UTC keeps UTC when you choose a city. Otherwise, city selection supplies its time zone; check that the start moment is the one you intend.

Planets and stars

Default tolerance: 4 minutes, an adjustable Atlas search setting. It is not an influence score. Rising/setting uses the body’s centre, no atmospheric refraction and a flat horizon at sea level.

How to use a paran search

  1. Choose the place, local date, day convention and bodies. A fixed window also needs a clock time; calendar and sunrise days use the whole selected date.
  2. Choose the maximum difference between angular events. A wider tolerance returns more candidates.
  3. Select a pair and inspect both actual times, especially around the window boundary.
  4. Compare named interpretive sources and the complete chart. The geometry does not supply an automatic prediction.

Upper/lower meridian means crossing the local meridian, not necessarily a planet’s exact maximum/minimum altitude. Fixed 24-hour and sunrise-day windows can differ from the local calendar day. Sunrise uses an ideal geometric horizon, not atmospheric visibility or twilight. High-latitude missing events are not replaced by invented times.

Swiss Ephemeris calculation conventions ↗