Mathematical model of the descent vehicle angular motion controlled by the center-of-mass displacement
Authors: Kukharenko A.S., Koryanov V.V., Ignatov A.I.
Published in issue: #7(163)/2025
DOI: 10.18698/2308-6033-2025-7-2462
Category: Aviation and Rocket-Space Engineering | Chapter: Aircraft Dynamics, Ballistics, Motion Control
The paper presents the compiled mathematical model equations of a module descent motion controlled by alteration in the center-of-mass displacement. The center-of-mass position is changed by altering angular position of the internal movable mass, which is the payload. When deriving the equations, the descent module is presented as a system of two rigid bodies connected to each other by a spherical hinge. Compiling the mathematical model applies the Lagrange equation of the second kind. Expression of the kinetic energy used in the Lagrange equation of the second kind is compiled in a coordinate system not related to the center of mass of the descent module. The kinetic energy expression is compiled in a coordinate system originating from the hinge center and making it possible to simplify registering expression of the descent module kinetic energy. The paper proposes the experimental device diagram to verify the compiled equations of the descent module motion.
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