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The evolution of the motion of a viscoelastic sphere in the restricted circular three-body problem - MaRDI portal

The evolution of the motion of a viscoelastic sphere in the restricted circular three-body problem (Q2761345)

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scientific article; zbMATH DE number 1683391
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English
The evolution of the motion of a viscoelastic sphere in the restricted circular three-body problem
scientific article; zbMATH DE number 1683391

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    18 December 2001
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    viscoelastic sphere
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    restricted circular three-body problem
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    approximate solutions
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    energy dissipation
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    angular velocity of rotation
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    gravitational stabilization
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    1:1 resonance
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    The evolution of the motion of a viscoelastic sphere in the restricted circular three-body problem (English)
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    The paper deals with a restricted circular three-body problem. Two material points \(M_1\) and \(M_2\) with unit mass move in prescribed circular orbits in the same plane with a third body of small mass which is spherical, symmetric and deformable. The third body rotates around the normal to the plane of motion. The authors construct an approximate solutions of equations of motion and carry out their qualitative study.
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