Abstract
A method is proposed for constructing a programmed trajectory in the problems of stabilizing a spacecraft in a fixed time. The method allows constructing a programmed motion, because of which the spacecraft is stabilized in rotational motion around the axis of dynamic symmetry, and this axis is oriented along the local vertical. The proposed algorithm is based on the possibility of representing the unit sphere of quaternions in four-dimensional space as a ball with a radius in three-dimensional space. This makes it possible to obtain a visual representation of the spacecraft rotation trajectory.
Highlights
Small spacecraft are widely used to create multi-satellite orbital constellations
The authors consider one of the variants of such a spin, in which the axis of dynamic symmetry of the spacecraft is stabilized along the local vertical, and the spacecraft itself performs a slow rotation around this axis
Consider a small spacecraft and associate with it a coordinate system Ox′y′z′, whose axes coincide with the main central axes of inertia
Summary
Small spacecraft are widely used to create multi-satellite orbital constellations Such groups are used in remote sensing for monitoring emergency situations, as well as for educational and scientific purposes [1]. The authors consider one of the variants of such a spin, in which the axis of dynamic symmetry of the spacecraft is stabilized along the local vertical, and the spacecraft itself performs a slow rotation around this axis. Such a twist allows providing uniform illumination of the spacecraft surface, while maintaining optimal capabilities for remote sensing of the Earth [3]. At the end of the work, an example of stabilization of a spacecraft performing regular precession in the orbital coordinate system is given
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