Dispersion Analysis in Hypersonic Flight During Planetary Entry Using Stochastic Liouville Equation

摘要

A framework is provided for the propagation of uncertainty in planetary entry, descent, and landing. ThentraditionalMonte–Carlo based dispersion analysis is overly resource-expensive for such high-dimensional nonlinearnsystems and does not provide any methodical way to analyze the effect of uncertainty for mission design. It is shownnthat propagating the density function through Liouville equation is computationally attractive and suitable fornfurther statistical analysis. Comparative simulation results are provided to bring forth the efficacies of the proposednmethod. Examples are given fromthe entry, descent, and landing domain to illustrate howone can retrieve statisticalninformation of interest from an analyst’s perspective.