## The One-dimensional Time-dependent Interaction of a Satellite with the Ionospheric Plasma |

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### Contents

APPENDIX A A PROGRAM FOR THE STEADYSTATE | 22 |

A PROGRAM FOR THE CASE II TIMEDEPENDENT | 31 |

REFERENCES | 39 |

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160 CONTINUE accuracy Appendix applied average electron velocity Average Ion behavior Boltzmann constant Boltzmann equation boundary condition calculated charge on plate conducting plate CONTINUE WRITE(Nt continuity equation CONVERGES Debye length decrease density and velocity dependence DERIVATION OF EQUATIONS differential equations DT/OY electric field electric potential equations 11 equilibrium value field for Ay finite difference Growth of electric Growth of surface IF(L-LL IF(TEST initial conditions ion density ion number density ionospheric plasma ions and electrons Marshall Space Flight modified Euler method nondimensional ion Nondimensional Time-Dependent Equations numerical solution obtain one-dimensional overshoot partial differential equations physical constants plasma parameters Poisson's equation potential in space problem quasi-equilibrium solution result satellite velocity satellite-ionospheric interactions set of equations sheath thickness Space Flight Center Spatial distribution stagnation point steady-state equations Steady-State Simplification steady-state solution surface charge density Taylor series thermal velocity Time-Dependent Equations section TIME-DEPENDENT SOLUTION unity variables zero