Analytic theory of orbit contraction due to atmospheric drag

Astronomy and Astrophysics – Astronomy

Scientific paper

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Aerodynamic Drag, Orbit Perturbation, Satellite Drag, Satellite Orbits, Calculus Of Variations, Differential Equations, Eccentric Orbits, Equations Of Motion, Orbital Elements, Poincare Problem

Scientific paper

Theory of space vehicle flight in near vacuum and in a planetary atmosphere is unified for the case of a spherically symmetric atmosphere with exponential variation of density with height. Dimensionless equations of motion are established that bridge the gap between satellite theory and entry theory. Integration is done by Poincare's method of perturbations. Solutions for the dimensionless semimajor axis are numerically obtained.

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