Attitude dynamics of a rigid body on a Keplerian orbit - A simplification

Mathematics – Dynamical Systems

Scientific paper

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Attitude (Inclination), Dynamical Systems, Orbital Mechanics, Center Of Mass, Hamiltonian Functions, Inertia, Lie Groups, Mathematical Models

Scientific paper

An infinitesimal 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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