Abstract
An infinitestimal contact transformation is proposed to simplify at first order the Hamiltonian representing the attitude of a triaxial rigid body on a Keplerian orbit around a mass point. The simplified problem reduces to the Euler-Poinsot model, but with moments of inertia depending on time through the longitude in orbit. Should the orbit be circular, the moments of inertia would be constant.
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Arribas, M., Elipe, A. Attitude dynamics of a rigid body on a Keplerian orbit: A simplification. Celestial Mech Dyn Astr 55, 243–247 (1993). https://doi.org/10.1007/BF00692512
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DOI: https://doi.org/10.1007/BF00692512