Orbital Mechanics & Ascent Flight Principles
Reaching orbit is not simply going high—it is accelerating sideways at ~7,800 m/s so the rate of falling matches the curvature of the Earth.
1. The Gravity Turn
After clearing the launch tower vertically, a slight pitch gimbal initiates the gravity turn. Gravity naturally pulls the velocity vector horizontal without costly aerodynamic steering drag, minimizing cosine steering losses.
2. Dynamic Pressure & Max-Q
Atmospheric density $\rho(h)$ decays exponentially with scale height (~7.4 km). As velocity squares while density thins, dynamic pressure peaks around T+1:05 (Max-Q). Throttle is managed to prevent vehicle structural fatigue.
3. Tsiolkovsky Staging Equation
Super Heavy stages at hot-staging (~Mach 5.5, 65 km altitude). The 6-engine Starship upper stage delivers the remaining ~6,100 m/s needed to round out apoapsis and raise periapsis into a stable parking orbit.