Stochastic analysis of impulsive thrust uncertainties in the CR3BP

Abstract

This paper employs an alternate dynamical model of the circular restricted three body problem to quantify uncertainties associated with spacecraft thrusting maneuvers. A non-product quadrature scheme known as Conjugate Unscented Transform (CUT) is employed to determine the higher order system sensitivities through a computationally efficient data driven approach. Moreover, the CUT scheme, in conjunction with a sparse approximation method, is used to find an analytical representation of the time evolution of the state probability density function (pdf).