In my last post about how an ascending plane debunks the globe, I wrote that the GE folks will use the argument that the plane is tracking with the curve therefore, curvature is of no consequence.
Even though I have the mathematical proof of this impossibility, I was challenged anyway. It seems the only way to provide definitive proof, is to show that the rate of climb, the climb angle and the speed of the aircraft make it impossible for it to track with the curvature.
As the aircraft ascends, it does so at a specific angle and speed. Knowing these values, we can map the actual path of the aircraft as it ascends. For the aircraft to track with curvature, it would need a much smaller climb angle since the curvature alone provides 4.37 miles of altitude.
It must also be noted that commercial aircraft like 747s gain altitude by aiming the nose upward and gaining lift through forward motion; they do not act like balloons and float upward. When the aircraft starts to take-off it angles the nose upward and ascends away from the ground. In order for the aircraft to track with the curvature it would have to stay perpendicular to the axis of the earth. As the distance from the starting point increases, the smaller the climb angle would need to be.
The final altitude is 6.62 miles which leaves 2.25 miles that the aircraft would need to climb. To calculate the necessary angle we would take the inverse TAN of 2.25 miles / 185.97 miles.
2.25 miles / 185.97 miles = .012 miles
TAN -1 (.012 miles) = 0.69°
This means that the average angle over the entire ascent would have to be 0.69°. Unfortunately for GE folks, this is not what happens in the real world. During take off most 747 aircraft use a climb rate of about 12° but reduce that by about 0.5° every minute or so. There is obviously variability based upon certain conditions but this is sufficient for this case. By recording the level on a flight to France I can confirm this reality with going into speculative territory.
I can say for certain that the pitch of the aircraft for the first 12 minutes was between 4-12° and the final 13 minutes ranged between 1-3° making an average of 0.69° impossible.
At the end of the day for an aircraft to ascend on a curved surface while tracking with that curve, it must be perpendicular to the axis of the earth and ascend like a balloon.