The method of statistical synthesis of the Lyapunov function for the study of the stability of an artificial Earth satellite

Abstract

The purpose of this work is to develop a method for constructing the Lyapunov function for systems of ordinary differential equations, which reduce many problems of studying the stability of spacecraft, in particular artificial Earth satellites. Stability is considered in relation to constantly operating uncontrolled factors. The proposed method of statistical construction of the Lyapunov function has been tested on the system of equations of motion of the spacecraft – satellite "Condor-E". The obtained result is confirmed by comparison with the results of studies obtained by other, more complex methods.