A semi-analytical method to study perturbed rotational motion.

Physics

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Artificial Satellites: Rotation, Artificial Satellites: Orbital Elements, Artificial Satellites: Numerical Methods

Scientific paper

A semi-analytical method is presented to study the system of differential equations governing the rotational motion of an artificial satellite. Gravity gradient and non gravitational torques are considered. Operations with trigonometric series were performed using an algebraic manipulator. Andoyer's variables are used to describe the rotation motion. The osculating elements are transformed analytically into a mean set of elements. As the differential equations in the mean elements are free of fast frequency terms, their numerical integration can be performed using a large step size.

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