Debunking Kell's Solar Angle Claims

1. Kell's Theoretical Framework

The 45-Degree Sector Model

Kell divides the 360° solar day into eight 45-degree sectors, each representing 3 hours. He argues both the globe and flat earth models can be tested by measuring the sun's vertical angle (elevation) at the 3-hour marks from solar noon.

The "90-Degree Limit" Claim

Kell's central claim is that the sun is always at 90 degrees to the observer in both models, and therefore the maximum measurable sun height at 3 hours from noon (one 45° sector) is 45°. His math: 45 + 45 = 90, therefore 45° is "the limit."

The Geometric Error

This reasoning treats the hour angle as if it directly determines the elevation — which would only be true if the sun were on the celestial equator AND the observer were at the equator AND the surface were a flat plane. In reality, solar elevation depends on three variables together: latitude, declination, and hour angle. At 34–35°N during summer (declination ~+23°), the sun's elevation at a 45° hour angle routinely exceeds 50°.

2. ORT 2020 — Operation Resolute Time

Operation Details

Period: 7 February – 8 August 2020

Location: Kabul, Afghanistan — N34°33'22.88", E69°18'34.88"

Elevation: 5,963 feet above sea level

GPS: 42S WD 29946 23898

This was described as a non-military operation conducted in a war zone. Testing ended on 7 August 2020 partly due to events within Afghanistan during the on-going war.

Equipment & Setup

The observer station (OS) used a leveled tripod platform base set at 0.5m height, with a digital protractor and radial arm positioned plumb vertically over the sun survey point (SSP). The sun survey point was established along the line of magnetic using a compass and MARX device at solar noon.

Concept of Operations

ORT 2020 Summary Results

Kell defines "failure" as any measurement exceeding his 45° limit. As shown in our analysis, the globe model predicts these values — they are not failures but expected results.

3. ORT 2020 Data Tables (Transcribed)

Red-circled values in Kell's original tables indicate readings that exceed his "globe model limit." N/R = No Reading.

Table 10-1 (Feb–Apr 2020)

Table 10-8 — Most Significant Compiled Data

4. ONAS 21-23 — Operation North American Sun

Operation Details

Period: July 2021 – June 2023

Location: Fayetteville, North Carolina, United States

Coordinates: N34°58'11", W79°0'29"

Elevation: 184 feet above sea level

GPS: 17S PU 81842 71503

Concept of Operations

ONAS Summary Results

The 19 June 2023 Hourly Dataset

Kell's most detailed single-day dataset — hourly readings from 07:00 through 13:12 (solar noon):

This hourly curve traces out exactly the solar elevation arc the globe model predicts — a smooth climb from ~11° near sunrise to ~80° at solar noon. This is the standard behavior of a sun 93 million miles away being observed from a rotating globe.

5. Kell's Key Claims & Our Responses

Claim: "The 45° Limit"

Response: This treats hour angle as directly determining elevation. In reality: sin(alt) = sin(lat)·sin(dec) + cos(lat)·cos(dec)·cos(HA). At 34.5°N with declination +23.4° and HA=45°, the predicted elevation is ~49.4° — well above 45°.

Claim: "58% / 56% Failure Rate"

Response: The globe model predicts the majority of his summer measurements should exceed 45°. His "failure rate" is the globe model's success rate — his data matches predictions.

Claim: "Sun Moves Faster Over Oceans"

Response: The apparent speed difference is an artifact of using magnetic azimuths without proper declination correction, combined with the observer's position relative to the subsolar point and atmospheric refraction effects. The sun's apparent motion is constant at 15°/hour.

Claim: "Flat Earth Passes, Globe Fails"

Response: The flat earth model has 0% failure rate in his test because his "limit" is defined in a way that only tests the globe model. He never applies equivalent geometric constraints to the flat earth model. On a flat earth with a sun at ~3,000 miles altitude, simple trigonometry would predict very different elevation angles than what he measures — angles his own data contradicts.

Claim: "Simulation Theory"

Response: When your data perfectly matches the predictions of the model you're trying to disprove, invoking simulation theory is an admission that the globe model works.

6. Two Locations, One Conclusion

Both sites at ~35°N produce nearly identical solar elevation patterns, exactly as the globe model predicts. This cross-continental consistency is a powerful confirmation — and something a flat earth model with a local sun cannot explain.