ⰏⰅⰃⰀⰎⰋⰕⰘⰋⰜ ⰀⰔⰕⰓⰑⰐⰑⰏⰉ

ⰏⰅⰃⰀⰎⰋⰕⰘⰋⰜ ⰀⰔⰕⰓⰑⰐⰑⰏⰉ — ⰔⰘⰑⰂⰐ ⰋⰐ ⰗⰖⰎⰎ ⰄⰅⰕⰀⰋⰎ, ⰂⰋⰕⰘ ⰋⰕⰔ ⰒⰓⰑⰑⰗ: Ⰰ ⰄⰅⰕⰅⰓⰏⰋⰐⰋⰔⰕⰋⰜ ⰜⰑⰐⰕⰅⰐⰕ-ⰀⰄⰄⰓⰅⰔⰔ ⰓⰅⰜⰑⰏⰒⰖⰕⰀⰁⰎⰅ ⰗⰓⰑⰏ ⰕⰘⰅ ⰜⰑⰏⰒⰑⰐⰅⰐⰕ'Ⱄ ⰐⰀⰏⰅ.

☲10D

Megalithic astronomy · the Sun on the horizon, computed

Megalithic astronomy decoded — the standing stones face the Sun, and the math says where. The Sun's declination at the solstices is the Earth's own axial tilt (the obliquity ε); feed it into cos A = sin δ / cos φ and the horizon azimuth of sunrise and sunset falls out. At the equinox the declination is zero, so the Sun rises due east at every latitude — the one alignment that needs no special place. At the solstices the azimuth depends on the latitude and the tilt: from Stonehenge's 51° N the midsummer Sun rises about 50° east of north, along the axis to the Heel Stone; from Newgrange the midwinter Sun rises about 134° round, straight down the passage and through the roof-box into the chamber, as it still does every 21 December. The obliquity was about 24° when these were built, not today's 23.44°, and using that older sky tightens the match — the monuments are clocks set to a slightly different tilt. The distances between the sites are ordinary great-circle geography, the same geodesy the pyramids fold computes — no grid, no numerology.

• ☉ equinox sunrise = due east (90°) at every latitudedeclination 0 in cos A = sin δ / cos φ gives A = 90° — the one solar alignment that needs no obliquity and no special site. Solstice azimuths swing away from east by the latitude and the tilt.
• △ Stonehenge — midsummer sunrise 49.5° ≈ Heel Stone ~49.9°from φ=51.1789° with ε=24.04° (~2600 BCE), the formula lands within a degree of the documented axis to the Heel Stone — the monument is a horizon clock set to the solstice Sun.
• △ Newgrange — midwinter sunrise 133.6° ≈ roof-box passage ~133.5°computed to within ~0.2° of the documented passage; the Sun still pours through the roof-box and down the 19 m passage into the chamber every 21 December, ~5,200 years on.
• ↻ the ancient sky — obliquity was ~24°, not today’s 23.44°the axial tilt shrinks ~0.013°/century; using the epoch value (the larger Neolithic tilt) tightens the match to the documented azimuths — the math only reproduces the alignment with the sky of the builders.
• ◈ real geography — Stonehenge ↔ Newgrange = 421 kmgreat-circle distance from the same geodesy the pyramids fold computes — the distances between monuments are ordinary geography. No grid, no equidistance, no numerology.
• ☾ the Moon’s 18.613-year swing — major standstill ±29.18° vs solstice Sun ±24.04°the lunar orbit tilts ~5° and its nodes turn full circle every 18.613 years, so the Moon swings WIDER than the Sun at a major standstill (±29.18°) and narrower at a minor one (±18.89°). 2024–25 was a major standstill, observed at Stonehenge and Callanish.
• ▭ Stonehenge Station Stones — moonrise 38.9° ↔ 141.1°the rectangle frames the major-standstill Moon’s extremes; at 51° N the southern moonrise (141.1°) meets the solstice sunrise (49.5°) ~perpendicular — a 91.6° gap. Whether deliberate is debated (Ruggles), not asserted.
• ☾ Callanish — the Moon skims the southern hills (158° → 202°)at 58° N the major-standstill Moon rolls along a low 44°-wide arc across the southern horizon, once a generation. Because it hugs REAL hills, the flat formula grows a horizon term — a 1° skyline shifts the rise by +1.6°, so archaeoastronomers survey the actual horizon.
• ⚠ flagged — rejected by the archaeologyThom’s “megalithic yard” and universal precise lunar observatories (the “lunar standstill myth”, rejected); the 56 Aubrey-holes “eclipse computer” (56 ≈ 3 × 18.6, a coincidence; Hawkins/Hoyle, rebutted by Atkinson); ley lines (pseudoscience); Nabta Playa’s Orion/Sirius “star map” (fringe); and “oldest observatory / lost civilisation / aliens”. These are sky-watchers’ horizon markers, not computers.

Boundary: HONEST and computed: the azimuths are cos A = (sin δ − sin φ·sin h)/(cos φ·cos h) on the FLAT (h = 0) horizon, with ε from a linear secular model (~24° in the Neolithic). That ignores horizon altitude, atmospheric refraction (~0.5°) and the Sun's radius — real archaeoastronomy's "amplitude equation" adjusts for them, shifting the azimuth a degree or two; where the horizon is hilly (Maeshowe, behind the hills of Hoy) the flat value diverges and is not asserted. The solstice intent of Stonehenge, Newgrange, Maeshowe and Goseck is well documented; Nabta Playa's solstice circle is published (Malville/Wendorf) but its precision is debated. FLAGGED and excluded: Thom's "megalithic yard" and precise lunar observatories, the Aubrey-holes "eclipse computer", ley lines, Nabta Playa's Orion/Sirius "star map", and any "oldest observatory / lost advanced civilisation / extraterrestrial" claim. These are sky-watchers' horizon markers, not computers and not proof of a global system.

✓ proven · content-address 98a1ada2-e10a-8980-a375-3d050f432ece — declared, placed, mounted, and recomputable from the component's name.