## Optimum reentry trajectories of a lifting vehicleJeng-Shing Chern, Nguyen X. Vinh, United States. National Aeronautics and Space Administration. Scientific and Technical Information Office, Langley Research Center National Aeronautics and Space Administration, Scientific and Technical Information Office, 1980 - Science - 109 pages |

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### Contents

Variation of the Optimum X as a Function of the Speed | 16 |

OPTIMAL TRAJECTORIES FOR FLAT EARTH | 22 |

Ratio for Skip Trajectories with Maximum Final Speed | 59 |

6 other sections not shown

### Common terms and phrases

adjoint equations adjoint variables apogee distance Apogee Speed approximate arc length bank angle chapter constants of integration coordinate rotation corresponding cos2Y dashed line dX/dy equation of Eqs exit point explicit control law final condition final flight path final range final speed final value flat earth flat planet model flight path angle footprint function guessed values Hence initial condition initial speed initial value large altitude drop lift force low speed maximize the final Maximum Apogee maximum cross range Maximum Final maximum lift-to-drag ratio Nguyen Xuan Vinh normalized lift coefficient obtained one-parameter problem optimal optimum control Optimum Lift Coefficient optimum lift control optimum solution optimum trajectory orbital speed order solution planar flight planetary atmosphere Prescribed Apogee prescribed final altitude presented in Figure presents the variation Pull-Up Maneuver reentry vehicle scanning parameter skip trajectory Spherical Earth switching tanY third equations trajectories leading Trajectory for Maximum transversality condition vacuum