TKS deep-time extremes · solar eclipses

The longest totality TKS can find

A totality of 7m 43.6s in 10,868 BCE — inside the TKS 30,390-year interval.

7m 44s 7.73 min · 7m43.6s
Longest total solar eclipse · 10868 BCE-11-13 · local C2→C3
TKS finds a 7m43.6s total solar eclipse in 10868 BCE — 14.3 seconds longer than NASA's 7m29.28s greatest-duration point for the famous 2186 eclipse.
Totality duration compared
TKS · 10868 BCE NASA theoretical max NASA 2186 Jul 16 7m 43.6s 7m 32.1s 7m 29.28s greatest-duration point, whole path · 449.28 s TKS is 14.3 s longer — the Moon was closer in that epoch

Definition — the number that is being compared

TKS duration7m 43.6s — local central totality (C2→C3) for a surface observer at the greatest-eclipse point, from solar_eclipse_local_place.
Geocentric C2→C34.0 min (catalogue) / 4.33 min (engine) — the geocentre crossing the umbra. Same event, different quantity.
Grid scan±4° / ±6° around the greatest point → max 7.727 min at (−5.88°, 40.58°). Confirms the TKS number is the greatest central duration.
Engine validation2024-04-08 → 4.50 min (real ≈ 4m28s) · 1991-07-11 → 6.92 min (real greatest-point ≈ 6m53s).

Comparing a local C2→C3 with a geocentric C2→C3 is the classic apples-to-oranges error; both are stated here.

The event

Greatest eclipse10868 BCE-11-13 · 21:29 UT (JD 2111525.395)
Type / magnitudeTotal · 1.0419
Greatest-eclipse pointlat −5.885°, lon 40.582° · path width ≈ 278.5 km
Geocentric contacts (UT)C1 20:35 · C2 21:27 · greatest 21:29 · C3 21:31 · C4 22:23
Pañcāṅga at greatestAmavasya (Kṛṣṇa 30) · Krittika pada 1 · Yoga 5 · Sun/Moon in Aries
ΔT506,370.5 s (model-dependent, far past)

Domain & honesty

Search domainJPL DE441 coverage, −13,201 … +17,191 (~30,390 yr) · 22,453 total solar eclipses scanned.
Independent cross-checkNASA/GSFC Five Millennium Canon: 23,962 events compared · 0 true type mismatches, Saros 0 mismatches.
NASA published longest2186 Jul 16 = 7m29s greatest-duration point (7m29.28s). NASA's stated theoretical maximum: 7m32.1s.
Why TKS exceeds itNASA's theoretical maximum is computed under present-epoch lunar assumptions. In 10,868 BCE the Moon was closer, so central totality can be longer. This is an epoch-dependent, domain-limited result — not a bare "longest ever".

Reproduce: cargo run --release -p tks-ephemeris --example eclipse_verify · --example great_extremes · source crates/tks-ephemeris/examples/. See also All TKS Discoveries · Eclipse engine.

संस्करणः bin-1790997127