Below blue line, you are on the back side of the single engine power curve. This means most of your now reduced power is going into overcoming induced drag and trying to climb. Retracting the gear is only going to have a minimal effect on overall drag before blue line.
That' s forgeting that most of the time VYSE is below blue line. That' s forgeting that below VYSE you have VXSE.
If I calculate that I would climb at 500 feet per minute, and my gear is already up, I won' t stop the flight crash in the trees. I will continue.
And what about water at the end of the runway?
There is no only one answer. Performance of the airplane, abilities of the pilot, runway, environment.
If I try to keep the thing airborne (in a case where it doesn't want to climb, I'm not going to crash a plane that is showing adequate performance) I run the risk of the whole stall, spin, die scenario.
So here takes place the training. With 2 engines (small twin), blue line will be reached with an average of 8 degrees pitch up. With one engine out, an average of 1.5-2 degrees pitch up. If you monitor the speed, the pitch, and you are paid to be a pilot, a pilot properly trained (not only the TC minimums), you are able to avoid VMCA (red line) then avoid to spin. And if you have done your calculations on the ground, you know that you are able to climb.
Better IMHO to rotate, unstick the aircraft, fly in ground effect to accelerate to blue line (doesn't have to be totally level, but also not a positive rate), establish positive rate and THEN retract the gear.
Sorry but this is a weird procedure that you describe to us. If it had saved life in the past, we would know by now.
Fly in ground effect with the gear down until blue line... well well well...
Remember: one rule that really works because it has been used: positive climb, gear up.
Remember: easiest to gain altitude between VX and VY with 2 engines. If you have an engine failure near the ground with gear down, and propeller windmiling, and loose 3 or 4 meters (9 or 12 feet): you crash into the trees. Why? when you have an engine failure, it takes few seconds to feather, and set a proper angle of bank. By this time YOU DON' T CLIMB (blue line or 5 knots below the same). You level off without loosing speed. at 100 or 200 feet no problem. On 2 engines you climb at 1000-2000 feet per minutes, an average of 100 feet each 4.5 seconds. 20 feet each seconds.
with engine out, before you feather the prop, you don' t climb. Too bad you didn' t use the climb capabilities earlier on two engine because now instead of being at 200 feet in clean configuration (gear up), you are (yes maybe 10 knots faster) just above the ground gear down and propeller windmiling. You will be at blue line, select the gear up, but it takes an average of 5-10 seconds to raise.
You will pitch up (probabely more than 2 degrees-not recomended) because you are too low but have some speed, but because this landing gear is in transition now, (creating more drag than in down and lock position) you won' t climb but just decrease speed.Good luck to avoid the trees mountains power line building obstacles.
Retracting the gear is only going to have a minimal effect on overall drag before blue line.
You have a special idea about the amount of drag the landing gear creates on a small twin. Minimal effect?
