parans
Parans (paranatellonta): co-angular bodies over the 24 hours from a date at a latitude — every pair of bodies simultaneously on one of the four angles (rising, culminating, setting, anti-culminating) within a stated tolerance. The relationship behind Brady's fixed-star parans, computed for the moving bodies; pure positional astronomy over the validated rise/set/transit times. Longitude-independent: latitude alone fixes the geometry, so only lat is needed. Date defaults to now.
Input Schema
| Name | Required | Description | Default |
|---|---|---|---|
| lat | Yes | Latitude, north positive | |
| date | No | UTC ISO date-time; the 24-hour window starts here. Omit for now | |
| bodies | No | Bodies to consider; default the seven classical planets | |
| output | No | 'float' (default) returns the usual floating-point payload. 'canonical' returns integers on a declared grid plus a sha256 digest: stable across machines/browsers/languages, hashable for caching and dedupe, precision-honest, with sign/house/aspects re-derived from the quantized values so displayed numbers and facts always agree | float |
| tolerance_min | No | Paran window in minutes: the two angle crossings must fall within this gap |