Hi, I wanted to mathematically calculate the best ascending path but I also thing that it is impossible to solve to equations for all cases. Therefore I tried so solve it numerically with computer simulations... It also turned out to be extremely difficult if you don't know the kind of ascending path you want. Finally I decided to figure out if the "typical" ascending trajectory that most users follow could be improved. I started with a typical ascend orbit and then I run a simulation to calculate the final results (delta-v spent, final velocity, h...). Then I did a program that would change some parameters and then re-run the simulation until the best values for them were found. The trajectory had the following layout: 1. Ascending at terminal velocity until h1 (h1 is a parameter that the program had to find) 2. Turn 45º and burn at constant acceleration (a2) until h2 (more parameters). 3. Engines off and free ascending until h3. 4. Engines on and 90º burn at constant acceleration (a4) until gets to orbit (I set orbit at 75km although I know space starts at 70km because of drag eff.) The program gave some results so the final values for those parameters where: h1 = 9500 m (+-50) h2 = 26500 m (+-50) h3 = 64250 m (+-50) a2 = 5.47g (+-0.01g) a3 = 1.7g (+-0.01g) Delta-V = 4676 m/s That's interesting because it's mostly what we do but at least now we know that considering this kind of ascending path these are the best values for those parameters... I hope this helps, Friman PS: in the future I'll try to include de angles in the parameters and I'm open to your suggestions
