Earth's Radius Calculator (from the amount a distant object is obscured)

Mick West

Administrator
Staff member
By simply observing how much of an object is hidden by the ocean (or lake) horizon we can calculate the radius of the Earth. Take the three values (h = height of camera about the water, d = distance to object, x = amount of object hidden) and get the radius of the earth (r)

https://www.metabunk.org/radius/

Metabunk 2018-06-09 09-23-45.jpg


For the math we take the curve calculator and just reverse the equations. We have:

Distance to horizon, a = sqrt((r+h)*(r+h) - r*r)
Amount obscured x = sqrt(a*a - 2*a*d + d*d + r*r)-r

Substitute the first equation for a into the second to get x in terms of r, h and d
x = sqrt(((r+h)*(r+h) - r*r) - 2*sqrt(((r+h)*(r+h) - r*r))*d + d*d + r*r)-r

Solve for r:
r = (d^2*h+d^2*x +/- 2 * sqrt(d^4*h*x-d^2*h^3*x+2*d^2*h^2-d^2*h*x^3) - h^3 +h^2*x+h*x^2-x^3)/(2*(h^2-2*h*x+x^2))))

The negative solution is the correct one for short distances, so, in Javascript:
r = (d*d*h+d*d*x - 2 * Math.sqrt(d*d*d*d*h*x-d*d*h*h*h*x+2*d*d*h*h-d*d*h*x*x*x) - h*h*h +h*h*x+h*x*x-x*x*x)/(2*(h*h-2*h*x+x*x))
 
Last edited:
Thread starter Related Articles Forum Replies Date
Wiggles Measuring the radius of Earth using Long Range Observations (LROs) Flat Earth 0
Swifty "Disc shaped" object in Antarctica on Google Earth UFOs, Aliens, Monsters, and the Paranormal 3
C Dodgy 'Earth curvature calculators' Flat Earth 4
Mick West Debunked: Pentagon has Evidence of "Off-World Vehicles Not Made on this Earth" UFO Videos and Reports from the US Navy 14
Patrick Gonzalez Need help explaining: NASA images of Earth from 2017 eclipse show different shadow sizes Flat Earth 3
J Claim sun paths prove flat earth Flat Earth 41
Pumpernickel Need Debunking: Foucault's Pendulum debunked through Mach's principle (the Earth is a static object in the center of the Universe) Science and Pseudoscience 16
J Are sun shadows only possible on a flat earth? Flat Earth 5
Mick West Satellite ADS-B Data in FlightAware24 - Blue Planes Prove Globe Earth Flat Earth 1
Mick West Flat Earth and Refraction with Oil Platforms Hillhouse and Habitat Flat Earth 5
Code-Beta 300 miles visibility on Antartica? Flat Earth 2
H Illusions of Curvature - RC Boat Hidden on Small Pond Flat Earth 10
M Bornong Flat Earth vs Oblate Spheroid: Earthquakes Flat Earth 3
J Does google earth pro simulate refraction [No] Flat Earth 7
Bunkmeister Cosmonaut Miroslaw Hermaczewski allegedly says earth is flat - [joke] Flat Earth 10
Mick West TFTRH #29 - Geoff: Everything is a Hoax, The Earth Might Be Flat Tales From the Rabbit Hole Podcast 2
some_guy Dennis Danzik Earth Engine Perpetual Motion Science and Pseudoscience 2
H The German WWII "Knickebein" Navigation System and the Curvature of the Earth Flat Earth 11
Cassi O Google Maps Measure Distance Using Great Circle Flat Earth 0
Mick West TFTRH #14: Rory – Flat Earth Debunking and Spiritual Journeys Tales From the Rabbit Hole Podcast 6
Wiggles Refraction Variations Over Water to Bell Island Flat Earth 27
mudr0 Why do spacesuit-wearing astronauts need blankets after returning to Earth? Science and Pseudoscience 5
Wiggles I could have spiralled into flat earth belief. Escaping The Rabbit Hole 36
Priyadi Islamic Rituals and Spherical Earth Flat Earth 0
Mick West Demonstrating the Curve of the Earth with observations of Beachy Head from Worthing Flat Earth 38
Qulaey Explained: 17.61 Mile Mirror Flash Supposedly Proves Flat Earth [Refraction] Flat Earth 5
O Convex Earth - Radio waves experiment Flat Earth 7
Mick West Why Flat Earth Laser Tests are Misleading Flat Earth 13
Mick West KML Tool For Visualizing Google Earth Cameras, and More Tools for Investigating and Debunking 5
Rory Calculator for viewing angles Tools for Investigating and Debunking 12
Rory Claim: footage of Great South Bay Bridge supports flat earth Flat Earth 11
Rory How can we explain perspective calculations simply? Flat Earth 39
chrono117 How to Debunk Flat Earth Without Relying on NASA or Photos Flat Earth 42
Mendel Debunked: Air Map of the World 1945 is a flat Earth map Flat Earth 0
T Observations of a Wind Farm Over the Curve of The Earth Flat Earth 0
Mendel Homemade Gyrocompass finds North by Spin Flat Earth 0
brad fuller Does the inverse-square law apply to the flat-earth debunking tool chest? Flat Earth 4
Rory Earth curve calculator for obstructions Tools for Investigating and Debunking 9
Mick West Lasers vs. Flashlights vs. Daylight for Observing the Curve of the Earth Flat Earth 12
Z.W. Wolf Claim: Moon Passing The Meridian Disproves Globe Earth Flat Earth 0
LMR Bucka's Earth Rotation Experiment Flat Earth 38
Z.W. Wolf Claim: Seeing The Same Stars All Year Disproves Globe Earth Flat Earth 20
Rory Explained: How Mount Rainier helps demonstrate the shape of the globe Flat Earth 38
Rory Unidentified "space vehicle" Skydentify - What is that Thing in the Sky? 8
Rory Debunked: 120-mile shot of San Jacinto proves flat earth Flat Earth 39
creatonez Explained: Why the Earth does not look oblate in photos from space Flat Earth 0
MisterB Debunked: Isle of Man from Blackpool at water level proves flat earth [refraction] Flat Earth 19
Mick West What does the Flat Earth Look Like From Space, with Perspective? Flat Earth 19
JFDee Debunked: Wernher von Braun confirmed that rockets can't leave earth Conspiracy Theories 23
Neil Obstat Claim: zooming in on setting sun proves flat earth Flat Earth 23
Related Articles


















































Related Articles

Top