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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2023-4pp.1149-1159

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E.K. Lavrovskii, "Problem on Maintaining Contact of a Low-Mass Research Probe with Asteroid," Mech. Solids. 58 (4), 1149-1159 (2023)
Year 2023 Volume 58 Number 4 Pages 1149-1159
DOI 10.3103/S0025654423700176
Title Problem on Maintaining Contact of a Low-Mass Research Probe with Asteroid
Author(s) E.K. Lavrovskii (Research Institute of Mechanics, Lomonosov Moscow State University, Moscow, 119192 Russia, lavrov.ek@yandex.ru)
Abstract The problem on maintaining contact of a body of small mass with the surface of a homogeneous, symmetrical asteroid rotating by inertia is investigated. Two opposite forces: the holding gravitational force of the asteroid and the repulsive centrifugal force act on the body. The problem is considered in a restricted formulation. Critical contact points are investigated for on a number of surfaces with an axis of symmetry. It is also shown that the movement of the body over the surface of the asteroid can contribute to its more reliable contact with the asteroid.
Keywords low-mass body, symmetrical asteroid, inertia force of translational motion, gravitational force, critical contact points of the asteroid surface
Received 26 July 2022Revised 23 September 2022Accepted 29 September 2022
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