Abstract
The problem of motion of a rigid body with a fixed point in a free molecular flow of particles is considered. It is shown that the equations of motion of this body generalize the classical Euler–Poisson equations of motion of a heavy rigid body with a fixed point, and they are represented in the form of the classical Euler–Poisson equations in the case when the surface of the body in a flow of particles is a sphere. The existence of first integrals in the considered system is discussed.
Similar content being viewed by others
REFERENCES
V. V. Beletskii, Motion of Artificial Satellite Relative to Its Center of Mass (Nauka, Moscow, 1965).
P. S. Aleksandrov, Lectures on Analytic Geometry (Nauka, Moscow, 1968).
R. G. Barantsev and U. Tszzhen’yui, ‘‘Forces and moments acting upon bodies of revolution in free-molecular flux,’’ Vestn. Leningr. Univ. 13, 79–92 (1961).
A. A. Karymov, ‘‘Determination of forces and moments due to light pressure acting on a body in motion in cosmic space,’’ J. Appl. Math. Mech. 26, 1310–1324 (1962). https://doi.org/10.1016/0021-8928(62)90008-4
Funding
The work is supported by the Russian Foundation for Basic Research, project no. 20-01-00637.
Author information
Authors and Affiliations
Corresponding authors
Ethics declarations
The authors declare that they have no conflicts of interest.
Additional information
Translated by E. Oborin
About this article
Cite this article
Gadzhiev, M.M., Kuleshov, A.S. On the Motion of a Rigid Body with a Fixed Point in a Flow of Particles. Moscow Univ. Mech. Bull. 77, 75–86 (2022). https://doi.org/10.3103/S0027133022030037
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S0027133022030037