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A TRIAXIAL MODEL FOR THE ROTO-ORBITAL COUPLING IN A BINARY SYSTEM

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2019
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MONOGRAFÍAS MATEMÁTICAS GRACÍA DE GALDEANO
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WE STUDY THE ROTO-ORBITAL DYNAMICS OF A UNIFORM SPHERE AND A TRIAXIAL BODY BYMEANS OF A MODEL WHICH DE?NES A 2-DOF HAMILTONIAN SYSTEM USING VARIABLES REFERRED TOTHE TOTAL ANGULAR MOMENTUM. THE VALIDITY AND APPLICABILITY OF OUR MODEL IS BEEN ASSESSEDNUMERICALLY. WE PRESENT A CLASSI?CATION OF SOME RELATIVE EQUILIBRIA, ?NDING CONSTANT RA-DIUS SOLUTIONS ?LLING 4-D AND LOWER DIMENSIONAL TORI. THESE FAMILIES OF RELATIVE EQUILIBRIAINCLUDE SOME OF THE CLASSICAL ONES REPORTED IN THE LITERATURE AND SOME NEW TYPES SHOW-ING THE TRIAXIALITY IN?UENCE ON BOTH. FOR A NUMBER OF SCENARIOS THE RELATION BETWEEN THETRIAXIALITY AND THE INCLINATION CONNECTED WITH RELATIVE EQUILIBRIA ARE DISCUSSED AND A FULLANALYSIS IN IN PROGRESS.
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