कालशोध · kaalshodh

आर्यभटीय · मण्डल यात्रा

an Āryabhaṭīya tour for the Mandal orrery

The model — geo/helio duality, the Moon, eclipses, and the year


Click Run in Mandal to open the script live in mandal.kaalshodh.com. Links are built from this page's own address, so they work wherever this folder is hosted over HTTPS (same origin as Mandal, or a CORS-enabled host). Companion to the Gol · Astro Lab tour.

Every tour here is self-paced: it stops at each step and holds the orrery still until you press Continue, so you can study the arrangement before it moves on.

The planetary model & the Moon

what the observer's sky (Gol) cannot show directly

Kāla III.17–21

Eccentric–epicycle duality

Toggle geocentric ↔ heliocentric — the śīghra epicycle is exactly this change of centre.

Gītikā I.9

The Moon's nodes — Rāhu & Ketu

The 5°-tilted orbit crossing the ecliptic, and the slow regression of the line of nodes.

Moon manda

Apogee, perigee & the anomalistic month

The Moon's apsides and its varying apparent size — the Moon's own manda inequality.

Eclipses

Golapāda IV.37–46 — the node made visible

IV.37–46

Eclipse at the node

Solar and lunar eclipses shown to fall only when the syzygy lands on a node.

cycle

The Saros

Step one Saros at a time; the eclipse recurs at the same node every ~18 yr 11 d.

The reckoning of time

Kālakriyāpāda — the solar and lunar year, and precession

Kāla

Synodic vs sidereal month

New-moon to new-moon against the Moon's return to the same star.

Kāla

Sankrāntis & the two ayanas

The Sun's ingress into each sign through the year; uttarāyaṇa and dakṣiṇāyana.

Kāla III.6

Lunar months by nakshatra

Months named for the full-moon's nakshatra, and the drift that forces adhimāsa.

Gola IV.36

Precession — ayana

The equinox drifting along the ecliptic, swept from 6000 BCE across the constellations.