Qualitative and quantitative analysis of the exact atmospheric entry equations using Chapman's variables

Astronomy and Astrophysics – Astronomy

Scientific paper

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Atmospheric Entry, Corridors, Planetary Atmospheres, Qualitative Analysis, Quantitative Analysis, Trajectory Analysis, Ballistic Trajectories, Equations Of Motion, Kepler Laws, Numerical Integration, Three Dimensional Motion

Scientific paper

This paper presents a general analysis of the problem of entry into a planetary atmosphere. A set of dimensionless variables is introduced, and the resulting exact, three-dimensional equations of motion have the distinctive advantage that they are completely free of the physical characteristics of the vehicle. A qualitative analysis provides a natural classification of the trajectories. The problem of the entry corridor is solved using the exact equations. These equations are numerically integrated for several typical trajectories and the results are compared with Chapman solutions.

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