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Coordinate systems

Coordinate systems

Natal chart software stacks several astronomical coordinate frames on top of each other. The calculation layer in core.chart ultimately needs geocentric ecliptic longitude (and latitude where used), but understanding the stack prevents common mix-ups (especially equator vs ecliptic, or geographic lat/long vs sky coordinates).

Frames used in charting

Frame What it fixes Role in core.chart
Geographic Birth place on Earth (lat/long) BirthInput.latitude, BirthInput.longitude — horizon and meridian for houses and angles
Equatorial Celestial equator + hour angle / RA Intermediate step for local sidereal time and horizon geometry
Ecliptic Sun’s orbital plane, longitude 0° at vernal equinox (tropical) Primary output: planetary ecliptic longitude and house cusps
Horizon / topocentric Observer’s local sky Ascendant, MC, house cusps as intersections of great circles

Right ascension and declination

Equatorial coordinates measure position along the celestial equator (projection of Earth’s equator onto the sky):

  • Right ascension (RA) — eastward angle, often in hours (0–24h)
  • Declination (δ) — north/south of the equator, like terrestrial latitude

Ephemeris backends may compute in equatorial form internally, then rotate into the ecliptic for sign-based astrology. See ecliptic-and-equator and obliquity.

Ecliptic longitude and latitude

Ecliptic coordinates use the ecliptic as the fundamental plane:

  • Ecliptic longitude (λ) — 0°–360° along the ecliptic from the tropical vernal equinox
  • Ecliptic latitude (β) — perpendicular distance from the ecliptic; most planets stay near β ≈ 0°

Western tropical charts map λ into signs via tropical-zodiac. See ecliptic-longitude.

Geographic names are not sky longitudes

Terrestrial latitude and longitude (WGS84-style degrees on Earth) are unrelated to ecliptic longitude despite similar words. Only birth place + instant tie the local horizon to the ecliptic for chart-angles and houses.

References

See also natal-chart, geocentric-vs-topocentric, julian-day-ephemeris.

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