01 · Source
Paste complete Janus speculum
Use the full text through the final Pole / PHA / Quad data. Seconds-enabled output is preferred; Janus split, compact, and all-in-one column arrangements are accepted.
Janus Speculum · Exact maturities · Direct and converse
01 · Source
Use the full text through the final Pole / PHA / Quad data. Seconds-enabled output is preferred; Janus split, compact, and all-in-one column arrangements are accepted.
03 · Output
Paste the complete Janus speculum, choose a start and end date,
then find every direct and converse maturity in the interval.
| # | Maturity date | Motion | Directed | Aspect | Natal |
|---|
Planetary factors. Right ascension is recovered from the Janus OA/OD pair. For seconds-enabled data, MD / SA is recalculated from the full MD and SA rather than the displayed four-decimal ratio. The Kühr proportional pole is then calculated as tan p = (MD / SA) × tan φ, followed by sin ADp = tan p × tan δ. Eastern factors use OA = RA − ADp; western factors use OD = RA + ADp.
Angles and cusps. Their 30°-spaced ascensional coordinates are advanced or regressed with the same primary arc. The Topocentric cusp pole is reconciled to the pasted natal cusp position, RAMC, obliquity, and terrestrial latitude before the directed longitude is recovered.
Timing. primary arc = elapsed calendar days × 0.00269861°. Each exact crossing is solved inside the requested interval and converted back to the nearest calendar date. No event-date ephemeris is consulted.
Aspects. 0°, 30°, 45°, 60°, 90°, 120°, 135°, 150°, 180°. Both direct and converse motion are searched independently. The range search samples at no more than 0.25° of primary arc, brackets every crossing, and then refines the root before assigning its date.