# 8 Inches per Miles Squared Formula Limitations

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• 1909
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##### 8 Inches per Miles Squared Formula Limitations
« on: March 08, 2020, 12:41:39 AM »
I saw a video by an Australian guy comparing the curvature of the earth predicted by the 8 inches per mile squared formula vs a "more accurate" formula. But since we have so many people here that know all about this i thought i'd ask before wading through the pages of other topic search returns I hpothesize youtube will provide (bare with me i'm not googleing it).
My understanding is that at a distance of several hundred (500?) miles the formual is only off by 1%. And that this does not dramatically increase over the next 1000 miles.
So, If some one wouldn't mind explaining the supposed geometrical limitations of said formula, that'd be swell.
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#### boydster

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##### Re: 8 Inches per Miles Squared Formula Limitations
« Reply #1 on: March 08, 2020, 05:20:44 AM »
So here's the thing. "8 inches per mile squared" describes a parabola. I think everyone on this site will agree that the Earth is not parabola-shaped. But for a globe-shaped Earth, the curve near the vertex of the 8"/mi2 parabola is pretty close to the curvature of the Earth, so it works well for approximations over small distances. It's just that once it starts to deviate, it deviates pretty fast.
« Last Edit: March 08, 2020, 05:22:52 AM by boydster »

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##### Re: 8 Inches per Miles Squared Formula Limitations
« Reply #2 on: March 12, 2020, 12:07:30 AM »
Could you say where does it diverge?
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#### rabinoz

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##### Re: 8 Inches per Miles Squared Formula Limitations
« Reply #3 on: March 12, 2020, 02:03:39 AM »
Could you say where does it diverge?
Yes, have a look at:
The "chart and equation", are however, an excellent approximation to the drop of the surface of the
below the local horizon.
Have a look at Walter Bislin's Eight Inches per Miles squared Formula Derivation which shows that the formula is within 0.1% up to  almost 500 miles!
Quote from: Walter Bislin
This formula is an approximation: until 550 km or 342 mi the error stays within ∓0.032%. Until 800 km or 497 mi the error is less than 0.1%.
It is a very good approximation to the geometric drop right out to 500 miles.
The 8"/mile squared is not, however, a good estimate of the hidden height of a distant object unless allowance is made for both the height of the observer and refraction.
Refraction is sometimes a severe effect. See these two photos from the same location and the same claimed height above sea-level:The difference is simply from atmospheric effects - looming and towering.
Observations like this, close to the surface of water or ice, often give excess refraction but not too often this severe.

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##### Re: 8 Inches per Miles Squared Formula Limitations
« Reply #4 on: March 12, 2020, 09:49:31 PM »
Thanks Rabinoz
Could you explain the limitations of mirages, as in how high could a mirage loom? Maybe cite some extreme cases you know much about?
" Using our vast surveillance system, we've uncovered revolutionary new information..."
-them

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#### rabinoz

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##### Re: 8 Inches per Miles Squared Formula Limitations
« Reply #5 on: March 13, 2020, 04:54:05 AM »
Thanks Rabinoz
Could you explain the limitations of mirages, as in how high could a mirage loom? Maybe cite some extreme cases you know much about?
I don't know how high but here are some interesting ones:
 The Red Ship Rides above the Ocean! And how do you like a "flying boat"? This is a drawing, but of a sighting thatmay have led to the Flying Dutchman myth

Some the most extreme cases I have see are shown in the link highlighted in this post:
And look at the photos in her (Kerry-Ann Lecky Hepburn) Atmospheric Phenomena page on WeatherandSky.com (I won't post any because of copyright issues).
She seems to specialise in photos of unusual atmospheric phenomena and the examples you have used seem to have been originally posted on this page:

Quote
 Mirages over Lake Ontarioas seen from Grimsby, OntarioKerry-Ann Lecky Hepburn ©2007
Here is a photo of Toronto from 295 feet above Lake Ontario with more normal atmospheric conditions:
« Last Edit: March 13, 2020, 06:21:55 AM by rabinoz »

• 1909
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##### Re: 8 Inches per Miles Squared Formula Limitations
« Reply #6 on: July 24, 2020, 11:43:38 AM »
Could anyone describe the limitation of this formula with some numbers to get an idea of the situation - like maybe the divergence for 50 miles, 100 miles, and 400 miles.
" Using our vast surveillance system, we've uncovered revolutionary new information..."
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#### hoppy

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• 11671
##### Re: 8 Inches per Miles Squared Formula Limitations
« Reply #7 on: July 24, 2020, 11:53:15 AM »

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##### Re: 8 Inches per Miles Squared Formula Limitations
« Reply #8 on: July 24, 2020, 12:35:49 PM »
Excellent

« Last Edit: July 24, 2020, 12:54:01 PM by faded mike »
" Using our vast surveillance system, we've uncovered revolutionary new information..."
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• 1909
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##### Re: 8 Inches per Miles Squared Formula Limitations
« Reply #9 on: August 20, 2020, 12:01:37 PM »
Thanks Rabinoz
Could you explain the limitations of mirages, as in how high could a mirage loom? Maybe cite some extreme cases you know much about?
I don't know how high but here are some interesting ones:
 The Red Ship Rides above the Ocean! And how do you like a "flying boat"? This is a drawing, but of a sighting thatmay have led to the Flying Dutchman myth

Some the most extreme cases I have see are shown in the link highlighted in this post:
And look at the photos in her (Kerry-Ann Lecky Hepburn) Atmospheric Phenomena page on WeatherandSky.com (I won't post any because of copyright issues).
She seems to specialise in photos of unusual atmospheric phenomena and the examples you have used seem to have been originally posted on this page:

Quote
 Mirages over Lake Ontarioas seen from Grimsby, OntarioKerry-Ann Lecky Hepburn ©2007
Here is a photo of Toronto from 295 feet above Lake Ontario with more normal atmospheric conditions:

Sorry to Rabinoz for skipping over his answer here - i came to this site for flat earth info, so i kindof beccame used to skipping his an JB's lengthy responses as i new they were likely an atempt to try to prove the globe - info i am not seeking on this site.
" Using our vast surveillance system, we've uncovered revolutionary new information..."
-them

I am not a druggy

#### JJA

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##### Re: 8 Inches per Miles Squared Formula Limitations
« Reply #10 on: August 20, 2020, 12:14:18 PM »
Sorry to Rabinoz for skipping over his answer here - i came to this site for flat earth info, so i kindof beccame used to skipping his an JB's lengthy responses as i new they were likely an atempt to try to prove the globe - info i am not seeking on this site.

Ignoring evidence that doesn't match your preconceptions is a great way to learn things, sure.

Masks protect against disease, blindfolds protect against knowledge. Up to you which to use.

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##### Re: 8 Inches per Miles Squared Formula Limitations
« Reply #11 on: August 21, 2020, 12:25:46 PM »
Information blockade. Is it up to you how much time you have to search for the answers?
" Using our vast surveillance system, we've uncovered revolutionary new information..."
-them

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#### JJA

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• Math is math!
##### Re: 8 Inches per Miles Squared Formula Limitations
« Reply #12 on: August 21, 2020, 12:31:07 PM »
Information blockade. Is it up to you how much time you have to search for the answers?