Abstract
The purpose of this paper is to study the motion of a spinless axisymmetric rigid body in a Newtonian field when we suppose the motion of the center of mass of the rigid body is on a Keplerian orbit. In this case the system can be reduced to a Hamiltonian system with configuration space of a two-dimensional sphere. We prove that the restricted planar motion is analytical nonintegrable and we find horseshoes due to the eccentricity of the orbit. In the caseI 3/I 1>4/3, we prove that the system on the sphere is also analytical nonintegrable.
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On leave from the Polytechnic Institute of Bucharest, Romania.
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Balan, R. Horseshoes and nonintegrability in the restricted case of a spinless axisymmetric rigid body in a central gravitational field. Celestial Mech Dyn Astr 63, 59–79 (1995). https://doi.org/10.1007/BF00691915
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DOI: https://doi.org/10.1007/BF00691915