Motion of an upper stage rocket with a toroidal tank around the mass center in parameters of Cayley-Klein

Abstract

The paper presents a mathematical model of motion of an upper-stage rocket with a toroidal tank filled with liquid fuel around the centre of mass. Time dependencies of motion parameters are established using a numerical and an analytical method. Limiting cases of orientation in Eulerian angles are analyzed.

About the authors

A. V. Alekseev

Samara State Aerospace University

Author for correspondence.
Email: alexeeff05@mail.ru

Candidate of technical science
Associate professor

Russian Federation

V. S. Krasnikov

Samara State Aerospace University

Email: walkthrough@mail.ru

Student

Russian Federation

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