Some Equilibrium of the Restricted Three-Body Problem with Axial Symmetric Primaries and a Gyrostat as Infinitesimal Mass |
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| Authors: | V G Tsogas A G Mavraganis |
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| Institution: | (1) Department of Engineering Science, National Technical University of Athens, Section of Mechanics, GR-157 73 Athens, Greece |
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| Abstract: | The restricted three-body problem is reconsidered by replacing the point-like primaries of the classical problem by a pair of axisymmetric rigid bodies which have a plane of symmetry perpendicular to their axes, and the infinitesimal mass by a gyrostat. The conditions for the circular motion of the primaries around their center of mass are stated and they yield the classification of all possible orientations of these bodies into four groups according to the value of their angular velocity. Then the equations of motion of the gyrostat are derived and solved for the equilibrium configurations of the system. |
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| Keywords: | three rigid body problem gyrostat equilibrium states |
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