Accelerated calculation of the descent trajectories in an atmosphere of ballistic reentry vehicles with allowance for their motion with respect to the center of the mass

Details Accelerated calculation of the descent trajectories in an atmosphere of ballistic reentry vehicles with allowance for their motion with respect to the center of the mass Accelerated calculation of the descent trajectories in an atmosphere of ballistic reentry vehicles with allowance for their motion with respect to the center of the mass

Jul 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983kosis..21..512b&link_type=abstract

Kosmicheskie Issledovaniia (ISSN 0023-4206), vol. 21, July-Aug. 1983, p. 512-521. In Russian.

Mathematics

1

Descent Trajectories, Reentry Trajectories, Spacecraft Reentry, Trajectory Analysis, Algorithms, Asymptotic Methods, Computerized Simulation, Differential Equations, Equations Of Motion

Scientific paper

An accelerated computer method is developed for calculating the descent trajectories of axisymmetric ballistic reentry vehicles with slight asymmetry. The method is based on the asymptotic separation of the system of equations of motion relative to the center of mass into two subsystems, describing the slow and fast components of the solution. The trajectory calculation involves only the slow component. An algorithm is presented for the formal construction of an asymptotic series for the slow component in the nonlinear case. An approximate nonlinear mathematical model for the slow motion of an axisymmetric vehicle with slight asymmetry is obtained, and the error of this model is assessed.

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