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arXiv · 2203.01410

Controllability Analysis of Motion of Artificial Satellite Under the Effect of Oblateness of the Earth

Jaita Sharma·B. S. Ratanpal·Shivam Munshi·Vishant Shah
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Abstract

In this article we have studied the controllability of artificial satellite under the effect of zonal harmonic $J_2$ in cylindrical polar coordinates systems. Seven different cases of thrusters in various directions have been analyzed and it is found that the system is controllable if we apply thrusters in either $r$, $\theta$ and $z$ or $\theta$ and $z$ direction. The equations governing motion of satellite have been linearized and Kalman controllability test is applied to check the controllability of the system. We have also derived controller $u$ for the linearized system. The trajectory of the system have been plotted to show the controllability of the system.

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Jaita Sharma, B. S. Ratanpal, Shivam Munshi, Vishant Shah. 2022-02-28. Controllability Analysis of Motion of Artificial Satellite Under the Effect of Oblateness of the Earth. https://arxiv.org/abs/2203.01410

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