thomas.n.gautier(at)jpl.n
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 Posted: Mon Aug 10, 2009 12:55 pm Post subject: AeroElectric-List Digest: 16 Msgs - 08/08/09 |
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The Pythagorean theorem says that the line of sight distance between you and
the horizon is
D = sqrt(h^2 + 2hR)
Where h is your height above the ground and R is the radius of the Earth.
This assumes that the Earth is a perfect sphere and there are no mountains
or other stuff between you and the horizon. It's also the direct line of
sight, not distance over the ground (but close enough at the heights we
fly). Note that h, R and D all have the same units (feet, km, nm, etc).
Write this another way: D = sqrt(h) * sqrt(h+2R)
So, to a good approximation: D = sqrt(h) * sqrt(2R)
since h is generally puny compared to R = 3963 miles.
This gives the formula D = 89.03 sqrt(h) miles, if h is in miles or
D = 1.225 sqrt(h) miles, if h is in feet.
Nick Gautier
RV-10 fuselage
| Quote: |
Time: 08:21:31 AM PST US
From: "z747pilot" <z747pilot(at)verizon.net>
Subject: RE: Radio noises
Hey Flyers,
A small formula here that may help you out: take the Square root of the
antennea hight (aircraft hight) and multiply it by 2.23 and this should give
you a rough idea of your VHF range.
Regards,
z747pilot
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