Approximate analytical solution of the equations of motion of descent in the atmosphere

Details Approximate analytical solution of the equations of motion of descent in the atmosphere Approximate analytical solution of the equations of motion of descent in the atmosphere

May 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978kosis..16..361b&link_type=abstract

Kosmicheskie Issledovaniia, vol. 16, May-June 1978, p. 361-369. In Russian.

Physics

Atmospheric Entry, Descent Trajectories, Equations Of Motion, Aerodynamic Forces, Atmospheric Density, Atmospheric Pressure, Equilibrium Equations, Gravitational Effects

Scientific paper

The approximate solutions of the equations of motion of the center of mass of entry spacecraft, obtained in the present paper, are used to derive an analytical expression for the descent-path parameters as a function of one of the phase coordinates. The existence of an explicit time-dependence is established for the phase coordinate treated as an independent variable in the integration of the equations of motion. This makes it possible to upgrade the accuracy of the solution by allowing for gravitational turn. Convenient final expressions are derived for calculating the descent-path parameters.

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