Mathematical Benchmark PASSED
Engine Accuracy Certification
This audit confirms that the AstroClock calculation engine correctly processes high-precision ephemerides across all four critical astronomical quadrants.
| Stress Test Segment | Verification Metric | Global Status |
|---|---|---|
| 1. Historical Sidereal | Lahiri Ayanamsa & LMT Drift | ● VERIFIED |
| 2. Calendar Transition | Julian-to-Gregorian Offset | ● VERIFIED |
| 3. Southern Latitudes | Inverted Geocentric Parallax | ● VERIFIED |
| 4. Arctic Extremes | High-Latitude Trigonometry | ● VERIFIED |
01. Historical Sidereal (Lahiri)
Subject: C.V. RamanVerification of local mean time (LMT) and precise 19th-century Ayanamsa calculation (~22°18').
Location NameTiruchirappalli, Tamil Nadu, India
Input Data1888-11-07 05:30:00 LMT
Coordinates10.81° N, 78.69° E
Zodiac FrameSidereal / Lahiri
Sun♎ Libra (22°44′)
Moon♐ Sagittarius (05°13′)
Ascendant♎ Libra (16°24′)
Midheaven♋ Cancer (14°26′)
02. Julian Calendar Baseline
Subject: Sir Isaac NewtonEnsuring the engine handles the 10-day gap between Julian (Old Style) and Gregorian calendars.
Location NameWoolsthorpe Manor, Lincolnshire, UK
Date (Julian)1642-12-25 01:38:00 LMT
Coordinates52.81° N, 0.63° W
Zodiac FrameTropical
Sun♑ Capricorn (03°29′)
Moon♒ Aquarius (19°13′)
Ascendant♎ Libra (19°26′)
Midheaven♋ Cancer (26°05′)
03. Southern Hemisphere Projection
Subject: Nelson MandelaVerification of geocentric houses and sign orientation at southern latitudes.
Location NameMvezo, Transkei, South Africa
Input Data1918-07-18 14:54:00 SAST
Coordinates31.95° S, 28.51° E
Zodiac FrameTropical
Sun♋ Cancer (25°04′)
Moon♏ Scorpio (20°15′)
Ascendant♐ Sagittarius (23°39′)
Midheaven♍ Virgo (05°42′)
04. High-Latitude House Distortion
Subject: Hammerfest ArcticsVerification of the "Arctic stress test" for house compression and fast-rising signs at 70° North.
Location NameHammerfest, Finnmark, Norway
Input Data1980-07-15 12:00:00 CET
Coordinates70.66° N, 23.68° E
Zodiac FrameTropical
Sun♋ Cancer (23°03′)
Moon♌ Leo (29°54′)
Ascendant♎ Libra (08°23′)
Midheaven♋ Cancer (15°53′)
Notes:
• Longitudes are apparent ecliptic longitude (true equinox of date).
• Sidereal comparisons use Lahiri ayanāṃśa (as configured).
• Times converted LMT→UTC with historical offsets; TT/ΔT applied for references.
• UI rounds to arcminutes;
• ASC/MC via spherical trigonometry; refraction is not applied to ecliptic longitudes.
• Longitudes are apparent ecliptic longitude (true equinox of date).
• Sidereal comparisons use Lahiri ayanāṃśa (as configured).
• Times converted LMT→UTC with historical offsets; TT/ΔT applied for references.
• UI rounds to arcminutes;
• ASC/MC via spherical trigonometry; refraction is not applied to ecliptic longitudes.
Verification Protocol: AstroClock utilizes Swiss Ephemeris WASM. These tests confirm the system's ability to handle spherical trigonometry, parallax correction, and nutation. All results are cross-verified against NASA JPL Horizons data and Swiss Ephemeris standard output.