Section 3: Launch System Dynamics

(Sutton and Biblarz, Chapter 4)





Lecture 1 Notes: .............. (pdf )

• Midcourse Review
  • Rocket Equation
  • Mass Budget Equation
  • Available Delta V
  • Required Delta V
  • Orbitology Review
    • Kepler's Laws
    • Vis-Viva Equation/Energy Analysis
    • Hohmann Transfer
    • Plane Change

Lecture 2 Notes:.................. (pdf )

• Launch Dynamics II: 2-Dimensional Equations of Motion
  • Perifocal Coordinate System
  • Newtonian Dynamics
  • Velocity Vector in Perifocal System
  • Acceleration vector in Perifocal System
  • Non-conservative Forces acting on Rocket
  • Aerodynamics Forces
    • Airspeed, Dynamics Pressure, Mach number
    • Effects of Earth Rotation on Airspeed
    • Effect of Winds on Airspeed
    • STS-114 Example
  • Gravitational Forces
  • Vehicle Mass
  • Collected 2-D State Equations
  • Integrators
    • Trapezoidal Rule
    • 4th-order Runge-Kutta
    • Ground Launch Initial Conditions
    • Fixed-Earth Approximation
  • Ballistic versus Non-Ballistic Trajectories
    • Ballistic Coefficient Definition
    • Ballistic Launch Equations
    • Minotaur V Launch Optimization Example
  • Constant-Thrust Maneuvering
    • Orbital Maneuver Initial Conditions
    • Comparison of Impulsive vs Non-Impulsive Thrust
    • Constant Thrust, Maneuvering Example

• Appendix I to Section 3: Rigorous Calculation of Realizable Launch Inclination Angles ................... (pdf)
• Appendix II to Section 3: A Brief Overview of Geodetics: ..................................................................... (pdf)
  
• Appendix III to Section 3: Derivation of the Full 3-DOF Flight-Path Equations of Motion
  for Rotating Oblate Earth, and Zonal Gravity Model : ......................................................................... (pdf)
• Minotaur V Launch Trade Optimization Paper: .................................................................................... (pdf)
  

Back to MAE 5540 Homepage