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Bifurcation of equilibria for general case of gyrostat satellite on a circular orbit
Aerospace Science and Technology ( IF 5.6 ) Pub Date : 2020-07-07 , DOI: 10.1016/j.ast.2020.106058
Luis F.M.M. Santos , Rui Melicio

This paper is on the study of the Equilibria of a Gyrostat Satellite on a Circular Orbit when its angular momentum it's not aligned with any principal axis or when the angular momentum is not aligned with orbital coordinate frame stated in this paper as the general case. This study is conducted to achieve through the use of Euler angles which are developed into achieving through the use of the Resultant method a unique polynomial equation in function of four adimensional parameters, which its roots are directly proportional to the number of equilibria positions. Through the development of the algorithm and the analysis of the equilibria positions it was achieved a simple analytic expression for the same number of equilibria positions. It was also verified the existence of small regions of equilibria out of their main area near when the angular momentum is in a principal plane as expected to be found when the angular momentum is in a principal plane.



中文翻译:

圆形轨道上陀螺仪卫星一般情况的平衡分叉

当圆角动量不与任何主轴对准时,或者当角动量与本文所述的轨道坐标系不对准时,本文就对陀螺恒星在圆形轨道上的平衡进行研究。进行这项研究是为了通过使用欧拉角来实现的,而欧拉角通过使用结果法来发展为一个具有四个三维参数的函数的唯一多项式方程,其根与平衡点的数量成正比。通过算法的开发和平衡位置的分析,获得了相同数量平衡位置的简单解析表达式。

更新日期:2020-07-07
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