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A RADIAL AXIAL-SYMMETRIC INTERMEDIARY MODEL FOR THE ROTO-ORBITAL MOTION

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2018
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JOURNAL OF THE ASTRONAUTICAL SCIENCES
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WE STUDY THE ROTO-ORBITAL DYNAMICS OF A UNIFORM SPHERE AND A BODY WITH AXIAL SYMMETRY BY MEANS OF A RADIAL INTERMEDIARY, WHICH DEFINES AN INTEGRABLE SYSTEM. NUMERICAL COMPARISONS OF THE MACCULLAGH?S TRUNCATION OF THE GRAVITY GRADIENT POTENTIAL AND INTERMEDIARY MODELS ARE PERFORMED, CONCLUDING THAT THE INTERMEDIARY PROVIDES A VALUABLE APPROXIMATION WITH SMALL DIFFERENCES WHEN COMPARED WITH THE MACCULLAGH?S ONE. OUR ANALYSIS INCLUDES THE ANALYTICAL INTEGRATION AND A STUDY OF THE SPECIAL SOLUTIONS AND RELATIVE EQUILIBRIA.
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