Uranian Chart Calculator — 90° Dial, Midpoint Pictures & Trans-Neptunian Points

What a Uranian chart is

Uranian astrology is the early-20th-century Hamburg school (Alfred Witte, Ludwig Rudolf) that extended the classical ten planets with eight hypothetical working points — Cupido, Hades, Zeus, Kronos, Apollon, Admetos, Vulcanus and Poseidon — and rebuilt reading technique around the 90° dial and midpoint pictures rather than the 360° wheel and Ptolemaic aspects.

The dial matters because Uranian practice treats 30° / 45° / 60° / 72° / 90° divisions of the 90° quadrant as full-weight aspects, not just the classical 60/90/120/180 set. On that dial every planet's position is folded into the first quadrant, so a Uranian reading is really a compact picture of where the ten planets and eight working points sit relative to your ASC, MC and each other in midpoints.

This is symbolism, not astronomy — the eight points are working tools in a specific tradition, and their physical existence is not claimed.

How the eight working points are placed

Each point is defined by a set of Gaussian orbital elements (a, e, i, Ω, ω, M at J2000) fitted by the Hamburg school so the point's observed transits reproduce the events its name describes. The eight elements are published in Wilhelm Walter's / Reinhold Ebertin's core texts and are reproduced in our ephemeris table.

Positions follow the same two-body Kepler pipeline as our asteroid layer: solve eccentric anomaly by Newton iteration, reconstruct the heliocentric vector, rotate through ω / i / Ω into the J2000 ecliptic frame, subtract Earth (astronomy-engine HelioVector, obliquity-rotated) and project onto the ecliptic.

The dial folds every ecliptic longitude to the first quadrant by taking longitude mod 90°. Midpoint pictures are computed as shortest-arc averages (A + B)/2 mod 90° over the dial; for every pair AB we scan the whole chart for a C whose dial position is within the orb you set — those hits are the (A/B : C) pictures this tool lists.

Regression check: over a 50-year baseline each working point's mean longitude advances by 360 × 50 / P where P = a^1.5 in years, and our Kepler integration reproduces that Gaussian period to under 3° for all eight points.

What you get

Once your birth data is entered:

• The ten classical planets, Ascendant, Midheaven and the eight Uranian working points placed by sign and degree.
• A polar-drawn 90° dial showing every body folded into the first quadrant, with the four Uranian ring guides at 15° / 30° / 45° / 60°.
• Every midpoint picture A/B : C where the pair's dial-midpoint lands within your chosen orb of a third body — sorted tightest first.
• A short vocabulary gloss naming what each working point traditionally stands for, so a reader can parse Cupido/Saturn : Sun without a textbook.

Reading pictures on the dial

The Uranian convention reads A/B : C as 'the fusion of A and B expressed through C'. The pair supplies the theme; the third body is the personal channel that theme activates. In the classical ten-planet set this is analogous to 'Sun/Mars : Jupiter' meaning the will-and-drive complex expressed through expansion; extended to the working points the same grammar covers Cupido/Saturn : MC ('family-or-partnership structure expressed through your public role') or Kronos/Admetos : Asc ('authority and depth expressed through your identity').

Orb discipline: Hamburg practice generally treats half a degree as tight, one degree as standard, and up to two degrees as admissible. Our dial defaults to 1°; widen it if you want the looser set. A picture is only as strong as its third term — a lot of near-orbs with no clean midpoint body is not a picture at all, and the tool's tightest-first ordering makes that visible.

A worked example, with real numbers

For a birth at 17:30 UTC on 1 January 2000 in London, our Kepler propagation places Cupido at 2.53° Sagittarius (dial 62.53°), Hades at 16.75° Gemini (dial 76.75°), Zeus at 3.99° Libra (dial 3.99°), Kronos at 26.37° Gemini (dial 86.37°), Apollon at 19.92° Libra (dial 19.92°), Admetos at 17.70° Taurus (dial 47.70°), Vulcanus at 19.02° Cancer (dial 19.02°), and Poseidon at 3.17° Scorpio (dial 33.17°).

The classical Sun sits at 10.60° Capricorn (dial 10.60°); the natal Asc falls at 28.81° Cancer (dial 28.81°). Each working point is shown by its sign-and-degree alongside the true longitude-mod-90° dial fold.

On this chart the tightest picture the tool surfaces at a 1° dial orb is Uranus|Pluto : Mars — the Uranus–Pluto dial midpoint lands on Mars to within 0.001° — with Hades|Apollon : Midheaven (0.006°), Hades|Zeus : Saturn (0.019°) and Mercury|Vulkanus : Sun (0.031°) close behind. Every picture is listed with its exact dial deviation so you can decide which ones actually deserve the reading.

What this tool does not claim

The eight Uranian working points are hypothetical. As of October 2026 no trans-Neptunian object has been observed at any of these ephemerides and the IAU does not recognise them. Their positions are exact solutions of published Gaussian elements — this tool does not claim any independent reality for the points themselves, only that it reproduces the Hamburg tradition's arithmetic honestly.

Uranian reading technique is a 20th-century symbolic framework; there is no controlled-evidence base for it. We present the whole dial as structured vocabulary, not as prediction. Small residual drift (up to ~1.4°/century) between our two-body Kepler integration and the intended Gaussian mean-longitude progression exists at the extremes of the 1900-2075 domain; all pictures this tool surfaces are inside the classical 1° orb. Calculations run entirely in your browser. Your birth data is never uploaded, never stored on a server, and never shared.

Uranian dial vs classical wheel vs harmonics

A classical natal wheel reads 360° of ecliptic longitude against the twelve-sign backdrop and weights aspects at 30/45/60/90/120/150/180. The Uranian 90° dial folds all of that onto one quadrant and weights every division of the 90° — including the harmonic-8 (45°) and harmonic-4 (90°) contacts that get diluted on the classical wheel. A harmonic-8 chart is roughly the projection the dial performs by hand: multiply longitudes by 8 and reduce mod 360; the resulting cluster pattern is closely related to what the dial surfaces.

Because the working points only exist inside the Uranian tradition, a classical practitioner will not use them; a Uranian practitioner treats the classical aspect set as only half the story. This tool is honest about which side of that methodological line each feature sits on.

Our method in one line

Eight trans-Neptunian working points placed by Kepler-propagated Gaussian elements (Walter / Ebertin tables) sampled yearly 1900-2075, Earth from sub-arcsecond astronomy (VSOP87/ELP via astronomy-engine); dial by longitude mod 90°; midpoint pictures at shortest-arc (A+B)/2 mod 90° with a user-set orb (default 1°). Reviewed by Dr. Amara Osei, Astronomy Reviewer.