OrbitalMechanics - N Stage rocket calculator

To run this file, click the colab button here, sign in to your google account on the colab site and in the top menu select Runtime->Run all

The objective is to prepare a calculator capable to calculate performances of a n-stage launcher in the vertical launch (maximum n=8).

User will enter the following data for each stage:

• Specific impulse $𝐼_{𝑆𝑃} 𝑖$
• Total mass $𝑚_0 𝑖$
• Mass of propellant $𝑚_𝑃 𝑖$
• Consumption of propellant $\dot{m}_𝑃 𝑖$

The calculator will return the following data for each stage:

• Time of combustion $𝑡_𝑓$
• Increment of velocity $\Delta Vi$
• Increment of altitude $\Delta hi$

Moreover, the calculator will return:

• Total velocity after the last stage cut-off
• Total altitude after the last stage cut-off
• Total altitude at the moment of zero velocity
• Curves showing the distribution of velocity and altitude along the time of combustion

All aerodynamic forces can be neglected. Gravitational acceleration can be considered as constant, $g_0 = 9.81 𝑚/𝑠^2$

(even at very high altitudes).