Analytical expansions of torque-free motions for short and long axis modes

Astronomy and Astrophysics – Astronomy

Scientific paper

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Celestial Mechanics, Rigid Structures, Rotation, Solar System, Angular Momentum, Elliptic Functions, Numerical Integration, Torque

Scientific paper

Simple analytical expansions of torque-free motions for short- and long-axis modes are presented which are correct up to the second-order of a smaller parameter. These expressions include only trigonometric functions and can be evaluated by hand calculation for estimates of the essential quantities from which one can determine a global rotational motion of the torque-free motion. They can also be used as the zero-th order solution in a perturbation method when the motion is perturbed by external torques.

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