Gravity Turn Calculator v.1.0

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Predict your launch trajectory. Gravity Turn is launching the rocket with zero angle of attack, or always heading to prograde velocity without necessary pitch over, rocket's heading always lock on prograde after lift off. It is save more fuel when you can always vectoring your thrust against prograde velocity rather than pitchover more than 1 degree.

How to Use:

1. Attach MFD group parts to your rocket
2. Rename your 1st stage rocket engine into 'MainEngine', Then it can return engine's properties value into vizzy
3. Recomendation TWR is 1.5 - 1.8
4. This plotter only for single engine type on 1st stage, withou any side booster
5. At the moment only calculate 1st stage burn
6. The result very sensitive to initial pitchover height & angle
7. Reserve AG.1 for MFD cam
8. Calculation's result saved on a list, you can recall it into your flight plan
   

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• For a gravity turn you need to solve a system with these equations:
• v(t) = f.t (Thrust(rho)/Mass(t) - Drag(v,rho) + g(z) cos(pitch)) + vi
• pitch = atan(g(z)*t/v(t)). where: Thrust is function of air density (rho) (or of external pressure, rho = pressure/unitary volume);
• Mass is function of time (t) = Initial Mass - fuelflow * t (note that fuelflow depends on throttle)
• Drag is function of speed (v) and air density (rho) (also, of Reynolds which also depends from v)
• gravity (g) is function of altitude (g(z))
• pitch is always oriented in the prograde direction (necessary condition for a gravity turn)
• air density (rho) also is function of altitude

Some of those terms are pretty complex in themselves. That's why I compute gravity turns by numerical integration, rather then with differential equations.

Now i'm still working on multistage calculation and other launch condition

Thanks for download it !!

Download Once, Play Forever !

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