I'm talking about cat launch at an angle to the horizontal. Assuming engine failure, after leaving the ramp the lift derives from the aerodynamic lift and the vertical component of the thrust of the surviving engine. By flying at an angle of attack insufficient to maintain flight you will follow a semi-parabolic trajectory at a reduced drag. This improves acceleration and allows you to safely get away at a lower speed than necessary when leaving a flat deck. There is the advantage of integrating an EM cat into the ski ramp.
Oh boy, another round of "extrapolating", and arguing for the validity of your "extrapolations".
I have however "proven your theory" by flying a low powered aircraft off of a hill/rise on a grass airstrip on a farm. As the aircraft leaves the hill without sufficient energy to fly away, you must increase the angle of attack in order to prevent an accident, as you apply aft stick?? you increase drag as you increase your angle of attack and the aircraft will most likely settle back onto the runway, having much less energy than it did when it departed the rise???, this will lengthen the take off run?
If on the other hand, your are already 50ft in the air as you depart the ramp, in an aircraft with sufficient thrust, you are able to "slightly reduce" that angle of attack to decrease that drag and allow the aircraft to accelerate to "flying speed", whereby you then "fly-away"?
operating safely off the ramp is enabled by the "Flankers" sufficient lift and excess thrust, you most likely will have to lower the weight of the aircraft, and leave below max gross in order to "fly away" with a sufficient margin to allow for losing an engine on the ramp?
as weight goes up, your "margin" goes away??