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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2024-3pp.1283-1289

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A.A. Burov and V.I. Nikonov, "Motion of a Variable Body in a Time-Dependent Force Field," Mech. Solids. 59 (3), 1283-1289 (2024)
Year 2024 Volume 59 Number 3 Pages 1283-1289
DOI 10.1134/S0025654424602878
Title Motion of a Variable Body in a Time-Dependent Force Field
Author(s) A.A. Burov (Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, Moscow, Russia, jtm@narod.ru)
V.I. Nikonov (Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, Moscow, Russia, nikon_v@list.ru)
Abstract The problem of translational-rotational motion of a variable body is considered under the assumption that the inertial properties of the body, as well as the external forces and torques acting on it, explicitly depend on explicitly. The conditions are indicated under which the equations of motion are reduced to classical equations that describe the motion of a rigid body in a force field that does not depend on time. There are cases when the equations of motion are reduced to completely integrable ones. Elements of the discussion of the 1920–1930s about the description of the motion of a material point of variable mass in a time-dependent gravitational field are reproduced.
Keywords translational-rotational motion of a variable body, time-dependent inertial properties, time-dependent forces, change of time, change of variables
Received 20 October 2023Revised 19 December 2023Accepted 28 December 2023
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