Boy, you people are slacking...
No body has answered the question yet?
Why mention, "constant mass," at all, especially if it is non-existent?
Why mention, "flat, non-rotating," earth if it is non-existent?
All of you are sorry trolls...
Maybe I didn't explain it correctly. It isn't so much eliminated as it is superimposed on the CG of the aircraft.
Also, you're ignoring the fact that the dynamics aren't any different whether it's on a globe or a flat earth.
So, I ask you. What does it matter what terminology is used when the actual analytical solution is independent of the shape of the earth?
Mike
You are asking the wrong person.
The person writing the paper saw fit to specifically mention THREE criteria when it came to the model.
1) A plane of CONSTANT MASS!
2) A flat earth!
3) A non-rotating earth!
Evidently, DESPITE YOUR PROTESTS, IT DOES MATTER!
You still didn't understand the answer?
Or you don't like it and it is hard to swallow?
Let me try to sugar-coat it for you:
1. To simplify behavior of the plane on "sample distances" (short distances), it is ignored the loss of mass by burning fuel off.
The "constant mass" can be set as single parameter and get equations lower number of varibles.
When the final set of the solutions is produced, they can just plug in diverent values for 'constant mass' and test in the whole range.
2. On "sample distances" (short distances), engineer can simplify further by approximation with straight path.
Planes don't always follow great circles, they curve up, down, lef, right, ...
Predictions have to include them from all directions later.
3. Non-rottaing Earth assumes no Coriolis, no centrifugal, no Eotvos or other effects, for final simplification.
Mentioned effects act one way if you go east, another if you go west, differently if you go north and differently if go south.
Since the final product will be under those effects in all directions, they will be calculated later.
So, tell us again:
"Why would they insist on 'constant mass airplane' if it doesn't exist" ?
We all know that airplane burns fuel and loses mass during flight.