## Approximate optimal guidance for the Advanced Launch System |

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### Contents

Introduction | 1 |

Modelling of the ALS Configuration | 14 |

ZerothOrder Optimization Problem | 27 |

Copyright | |

9 other sections not shown

### Common terms and phrases

2cmo aerodynamic forces aerodynamic pulse functions analytic solution angle-of-attack approximate optimal guidance assumed aerodynamic asymptotic expansion body-axes boundary value problem calculus of variations canonical transformation Cartesian coordinate Chapter characteristic curves coefficient constant coordinate system determined equality constraint equations of motion Euler-Lagrange equations expansion terms first-order correction terms first-order partial flight path angle guidance law guidance scheme Hamilton-Jacobi-Bellman equation Hamiltonian higher-order correction terms independent variable initial conditions integral surface Jcm2 Lagrange multipliers launch problem linear mass Monge vector obtained open loop optimal control optimal return function optimal solution optimal trajectory optimization problem ordinary differential equations partial derivatives partial differential equation plane quadratures real-time shooting method sinh _ small parameter solve technique terminal boundary conditions terminal constraints tion transition matrix Vcm2 vehicle Velocity Lagrange Multiplier wind axis zero zeroth-order control zeroth-order path zeroth-order problem zeroth-order solution zeroth-order trajectory