The problem of three bodies when one of them is a gyrostat is considered. Using the symmetries of the system we carry out two reductions. Global considerations about the conditions for relative equilibria are made. Finally, we restrict to an approximated model of the dynamics and a complete study of the relative equilibria is made.
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St Petersburg State Univ, Sobolev Astron Inst, St Petersburg 198504, RussiaSt Petersburg State Univ, Sobolev Astron Inst, St Petersburg 198504, Russia
Orlov, Victor Vladimirovich
Petrova, Anna V.
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St Petersburg State Univ, Sobolev Astron Inst, St Petersburg 198504, RussiaSt Petersburg State Univ, Sobolev Astron Inst, St Petersburg 198504, Russia
Petrova, Anna V.
Tanikawa, Kiyotaka
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Natl Astron Observ, Mitaka, Tokyo 181, JapanSt Petersburg State Univ, Sobolev Astron Inst, St Petersburg 198504, Russia
Tanikawa, Kiyotaka
Saito, Masaya M.
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Natl Astron Observ, Mitaka, Tokyo 181, Japan
SOKENDAI, Dept Astron Sci, Mitaka, Tokyo, JapanSt Petersburg State Univ, Sobolev Astron Inst, St Petersburg 198504, Russia
Saito, Masaya M.
Martynova, Alija I.
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State Forest Tech Acad, St Petersburg 194021, RussiaSt Petersburg State Univ, Sobolev Astron Inst, St Petersburg 198504, Russia