Flight Simulator 101 or back to college - part 8: The Earth and its mathematics.

RE: Flight Simulator 101 or back to college - part 8: The Earth and its mathematics.

mcb1 — Sun, 22 May 2016 06:00:32 GMT

Looks like a very interesting subject.

I always measure my degrees using Celcius ... [View:/resized-image/__size/16x16/__key/commentfiles/f7d226abd59f475c9d224a79e3f0ec07-653ee6c0-5c25-4593-a1fa-310625557ee6/8228.contentimage_5F00_1.png:16:16]

Never did get the angular thing, but it was a step upwards curve when I first played with Accelerometers.

Mark

RE: Flight Simulator 101 or back to college - part 8: The Earth and its mathematics.

jw0752 — Sun, 22 May 2016 05:00:44 GMT

Hi Cristina,

Great to have the first page of what promises to be an interesting read. Looking forward to the next installment.

John

RE: Flight Simulator 101 or back to college - part 8: The Earth and its mathematics.

D_Hersey — Fri, 20 May 2016 19:32:50 GMT

It is important to keep your denominations consistent. Etiology? Who knows? Who invented the gradian?

Actually, wiki discusses the etiology, who knew?

https://en.wikipedia.org/wiki/Turn_%28geometry%29

Music makes things more memorable, they say:

https://www.youtube.com/watch?v=0bYNbOKXiXM

RE: Flight Simulator 101 or back to college - part 8: The Earth and its mathematics.

D_Hersey — Fri, 20 May 2016 18:57:47 GMT

Whole turn = 360 degrees = 2 pi rad

puts the modulus at one

works well with floating point

1 seems less arbitrary than 360

If the 2 pi term 'drops out,' why put it in?

RE: Flight Simulator 101 or back to college - part 8: The Earth and its mathematics.

DAB — Fri, 20 May 2016 17:58:01 GMT

Another post that brings back memories.

I remember a lot of meetings during an integrated navigation system design where all of these ghastly details were discussed at great length.

Made me want to be a flat earth adherent.

DAB

RE: Flight Simulator 101 or back to college - part 8: The Earth and its mathematics.

balearicdynamics — Fri, 20 May 2016 16:21:55 GMT

Hey Chris,

nice and well explained article. If you are interested I have developed a PHP engine (easy to convert to java or c++ or Python) to make the calculations on the map based on the great circle with some simplifications making the algorithm relatively complex but very fast. It overprint a map calculation result over a Google map without the GMap APIs as they have a too big resolution while the algorithm works in range of meters.

Enrico

RE: Flight Simulator 101 or back to college - part 8: The Earth and its mathematics.

D_Hersey — Fri, 20 May 2016 14:29:55 GMT

Many more writers describe what a radian is than describe the motivation behind using it

360 is convenient when we seek to divide the circle by prime factors of 360, or products thereof

In a universe of just a circle and its center, the diameter and circumference are the lengths we have, so to lay the diameter on the circumference is just using what is available, even if it introduces a transcendental number

Higher math likes it because it is less biased

The artillery crowd finds it cumbersome

In CG, I use 'whole turns' alot, less biased than degrees, less of PITA than radians