For the minute of birth (UT), Swiss Ephemeris gives the equatorial coordinates (RA, Dec) and ecliptic longitudes of 13 bodies: Sun, Moon, Mercury, Venus, Mars, Jupiter, Saturn, Uranus, Neptune, Pluto, North Node (mean), Chiron, Lilith (mean). Each body gets 16 lines:
| Type | Definition | Shape |
|---|---|---|
| MC, IC | the body culminates / anti-culminates (in mundo): λ = RA − GST, +180° | meridian |
| ASC, DSC | the body is on the horizon (rising / setting): cos H = −tan φ · tan δ | curve, breaks off near polar latitudes |
| ⚹ □ △ to MC | ecliptic longitude of the MC = body’s λ ± 60/90/120° | meridian |
| ⚹ □ △ to ASC | ecliptic longitude of the ASC = body’s λ ± 60/90/120° (solved numerically on a latitude grid) | curve |
Verification: for a point on the Sun’s MC line swe.houses_ex returns MC = Sun’s longitude exactly; for a point on an ASC line swe.rise_trans gives a rise at the minute of birth within 0.5 min; aspect lines give exactly ±60/90/120°. Physics check: the Sun culminates at 08:00 UT on 60° E (solar noon four hours east of Greenwich).
Parans are latitudes where two angle lines of different bodies cross (both bodies on angles at once). They act as a ±1.0° latitude band around the whole globe.
The score is deterministic: the same data always gives the same result, and every score decomposes into line contributions (their sum = raw). The saturating index keeps a stack of five lines from producing +250: the scale is always −100…+100.
| Theme | ASC | DSC | MC | IC |
|---|---|---|---|---|
| Overall balance | 1.0 | 0.8 | 0.9 | 0.8 |
| Energy and vitality | 1.0 | 0.4 | 0.7 | 0.5 |
| Love and meeting people | 0.7 | 1.0 | 0.3 | 0.5 |
| Marriage and partnership | 0.5 | 1.0 | 0.4 | 0.5 |
| Career and recognition | 0.6 | 0.5 | 1.0 | 0.2 |
| Money and business | 0.5 | 0.6 | 1.0 | 0.4 |
| Home, family, relocation | 0.5 | 0.5 | 0.3 | 1.0 |
| Creativity and inspiration | 0.9 | 0.5 | 0.6 | 0.6 |
| Learning and communication | 0.8 | 0.8 | 0.6 | 0.3 |
| Spirituality and retreat | 0.7 | 0.4 | 0.3 | 1.0 |
| Change and reset | 1.0 | 0.6 | 0.8 | 0.6 |
| Rest and recovery | 0.8 | 0.5 | 0.2 | 1.0 |
ASC — the self, body, well-being; DSC — partners, people, the public; MC — career, status; IC — home, roots, peace.
base, from −1 to +1)| Body | intens. | Overall | Energy | Love | Marriage | Career | Money | Home, | Creativity | Learning | Spirituality | Change | Rest |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Sun | 0.7 | 0.6 | 1.0 | 0.4 | 0.3 | 0.9 | 0.5 | 0.3 | 0.8 | 0.4 | 0.3 | 0.4 | 0.2 |
| Moon | 0.6 | 0.4 | 0.3 | 0.7 | 0.5 | 0.2 | 0.3 | 1.0 | 0.6 | 0.3 | 0.6 | 0.1 | 0.8 |
| Mercury | 0.4 | 0.4 | 0.3 | 0.3 | 0.4 | 0.6 | 0.6 | 0.1 | 0.5 | 1.0 | 0.1 | 0.3 | 0.0 |
| Venus | 0.4 | 0.9 | 0.3 | 1.0 | 0.9 | 0.4 | 0.8 | 0.7 | 0.9 | 0.3 | 0.3 | 0.0 | 0.9 |
| Mars | 0.9 | 0.1 | 0.9 | 0.3 | -0.4 | 0.5 | 0.3 | -0.4 | 0.3 | 0.1 | -0.5 | 0.6 | -0.8 |
| Jupiter | 0.5 | 1.0 | 0.8 | 0.7 | 0.7 | 1.0 | 1.0 | 0.7 | 0.7 | 0.9 | 0.8 | 0.5 | 0.6 |
| Saturn | 0.9 | -0.5 | -0.7 | -0.6 | 0.1 | 0.3 | -0.2 | -0.4 | -0.5 | 0.2 | 0.2 | -0.5 | -0.7 |
| Uranus | 0.8 | -0.2 | 0.3 | 0.1 | -0.6 | 0.1 | -0.3 | -0.7 | 0.6 | 0.6 | 0.2 | 1.0 | -0.6 |
| Neptune | 0.8 | -0.4 | -0.8 | 0.2 | -0.5 | -0.6 | -0.8 | -0.2 | 0.8 | -0.3 | 1.0 | 0.0 | 0.3 |
| Pluto | 1.0 | -0.4 | -0.3 | -0.2 | -0.6 | 0.2 | 0.0 | -0.6 | 0.2 | 0.1 | 0.4 | 0.9 | -0.8 |
| North Node | 0.4 | 0.5 | 0.4 | 0.6 | 0.6 | 0.6 | 0.4 | 0.4 | 0.3 | 0.5 | 0.5 | 0.5 | 0.1 |
| Chiron | 0.6 | -0.3 | -0.4 | -0.2 | -0.2 | -0.1 | -0.3 | -0.2 | 0.3 | 0.4 | 0.6 | 0.2 | -0.3 |
| Lilith | 0.7 | -0.4 | 0.1 | 0.2 | -0.7 | -0.3 | -0.4 | -0.6 | 0.5 | 0.0 | 0.3 | 0.5 | -0.6 |
Per-angle refinements (angle_overrides): Saturn: MC: Career and recognition +0.7, Money and business +0.3, Overall balance -0.1; IC: Home, family, relocation -0.7, Rest and recovery -0.8, Spirituality and retreat +0.4; DSC: Marriage and partnership +0.4, Love and meeting people -0.7; Pluto: MC: Career and recognition +0.6, Money and business +0.4; ASC: Energy and vitality +0.4, Change and reset +1; Mars: MC: Career and recognition +0.8, Money and business +0.5; ASC: Energy and vitality +1; DSC: Marriage and partnership -0.7, Love and meeting people +0.1; Uranus: MC: Career and recognition +0.4, Change and reset +1; IC: Home, family, relocation -0.9; Neptune: IC: Spirituality and retreat +1, Rest and recovery +0.6, Home, family, relocation +0.2; MC: Career and recognition -0.8, Creativity and inspiration +0.9; Moon: MC: Career and recognition +0.5, Money and business +0.4; Lilith: ASC: Creativity and inspiration +0.7, Energy and vitality +0.4;
| Mode | Theme weights |
|---|---|
| Vacation | Rest and recovery 1.0; Love and meeting people 0.6; Creativity and inspiration 0.5; Energy and vitality 0.6; Overall balance 0.5; |
| Trip / travel | Learning and communication 1.0; Energy and vitality 0.6; Change and reset 0.4; Overall balance 0.6; Money and business 0.3; |
| Relocation | Home, family, relocation 1.0; Career and recognition 0.8; Money and business 0.7; Energy and vitality 0.5; Marriage and partnership 0.5; Overall balance 0.8; |
| Study | Learning and communication 1.0; Career and recognition 0.4; Energy and vitality 0.4; Overall balance 0.4; |
| Business / work | Career and recognition 1.0; Money and business 1.0; Learning and communication 0.4; Energy and vitality 0.4; Overall balance 0.5; |
| For a couple | Love and meeting people 1.0; Marriage and partnership 0.8; Rest and recovery 0.5; Home, family, relocation 0.4; Overall balance 0.5; |
| Retreat | Spirituality and retreat 1.0; Rest and recovery 0.7; Creativity and inspiration 0.4; Overall balance 0.3; |
Each member’s index is clipped to ±100; the shared score = 0.6·mean + 0.4·minimum (the weakest member pulls the score down: “good for everyone”). A member below −15 is flagged as a tension zone.
Relocated chart: Placidus houses for the minute of birth at the chosen place (Porphyry beyond the polar circle); planets in houses 1, 4, 7, 10 count as angular. Timing windows: transits of Jupiter, Saturn, Uranus, Neptune and Pluto to the relocated ASC/DSC/MC/IC with a 1° orb over 12 months.
A 4-minute error in the birth time shifts the whole grid of lines by 1° of longitude (≈110 km at the equator, ≈64 km at the latitude of London or Moscow). The time zone is taken from the birth place and date using the historical tz database (daylight saving, zone changes), never typed by hand. Parans are more robust to time errors than angle lines.
Swiss Ephemeris (sepl/semo/seas files, 1800–2399), GeoNames cities15000 (CC BY 4.0), Natural Earth 110m (public domain), OpenFreeMap/OpenStreetMap basemap (ODbL), MapLibre GL JS (BSD).