VESTNIK of Samara University. Aerospace and Mechanical EngineeringVESTNIK of Samara University. Aerospace and Mechanical Engineering2542-04532541-7533Samara National Research University298010.18287/2541-7533-2011-0-6(30)-9-14UnknownMotion of an upper stage rocket with a toroidal tank around the mass center in parameters of Cayley-KleinAlekseevA. V.<p>Candidate of technical science<br />Associate professor</p>alexeeff05@mail.ruKrasnikovV. S.<p>Student</p>walkthrough@mail.ruSamara State Aerospace University201220111069141902201619022016Copyright © 2016, VESTNIK of the Samara State Aerospace University2016<p>The paper presents a mathematical model of motion of an upper-stage rocket with a toroidal tank filled withliquid fuel around the centre of mass. Time dependencies of motion parameters are established using a numerical andan analytical method. Limiting cases of orientation in Eulerian angles are analyzed.</p>Eulerian anglesupper-stage rocketkinematic equationsCayley-Klein parametersРазгонный блокпараметры Кэли-Клейнауглы Эйлеракинематические уравнения