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"Time speedup" is Ctrl+T and that is what Narxes081206 is talking about. It lets more sim time pass in less real time. That means it speeds up the internal clock of the simulator, and a second in the simulator is shorter than a real time second. That makes your clock run faster, and the simulation runs in compressed time. The downside of this is, as Narxes081206 points out, that you need the computing power to run all the stuff in less time. Remember X-Plane doesn't use lookup tables, but an aerodynamic model for the flight physics. The problem is we can not really run the physics at anything less than 1/20th of a second, or you get computational flutter effects. This is the underlying reason X-Plane never runs below 19fps, and if it does, it stretches the seconds until it is at 19fps in "sim time" (the opposite of time compression. Call it time stretching, if you will).
So, if you have enough resources to run X-Plane at 40fps, you can also run it at 2x time compression, meaning you are now running twice at many seconds in sim time. You still have 40fps in real time, but now only 20fps in sim time, and X-Plane will not allow you to go any faster. So you need more fps in the first place if you want more time compression.
It is also very hard to fly the plane by hand, since every joystick input causes the plane to change roll or pitch at 2x or 4x the speed, so you need to be twice as gentle with your joystick!
"Groundspeed compression" is Alt+T and it does not have the problem. Instead of stuffing more seconds into a second, it only covers more ground in a given time. That way, we can run the physics of the accelerations and velocities at normal speed, and only integrate the position at 2x, 4x, 8x or 16x speeds. Because the lower parts of the simulation still run in real time, we have no problems with computational flutter. This means the plane reacts to your joystick input as if you were in 1x time compression, your clock runs as if it were 1x time compression, you just cover more ground, because your position runs at 2x, 4x, 8x or 16x faster. This makes it even feasible to fly by hand at high compression rates.
If you simply want to "get there" faster, groundspeed compression (Alt+T) is probably what you want.
Ctrl+T instead gives you more of a "time-lapse" feel.
this did not work for me
very good to know, thanks.