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Rotating Formation Flying of Three Satellites Using Tethers

机译:使用系链旋转三颗卫星的编队飞行

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摘要

The feasibility of rotating formation flying of satellites using flexible tethers is explored. The system is composed of three satellites connected through tethers and located at the vertices of a triangle-like configuration. The satellites are modeled as point masses, and tethers are considered massless. The general formulation of the governing equations of motions of the system moving in an elliptic orbit and including different satellite masses and tether lengths is obtained through a Lagrangian approach. The open-loop tether deployment and retrieval laws have been developed. Results of numerical simulations of the nonlinear governing equations of motion of the proposed constrained system and an equilibrium analysis indicate the feasibility of achieving formation flying of three satellites in the orbital plane. Furthermore, the equilibrium analysis leads to useful design criteria in the form of inequality constraints on the system parameters. In the case when three satellites have equal masses, the critical minimum value of spin rate for system steady-spin motion in the orbital plane is found to be 0.58 times the orbital rate. Finally, the effects of various system parameters as well as the tether deployment and retrieval on the system response have been investigated.
机译:探索了使用柔性系绳进行卫星旋转编队飞行的可行性。该系统由三颗通过系链连接的卫星组成,并位于三角形配置的顶点。卫星被建模为点质量,而系绳被认为是无质量的。通过拉格朗日方法获得了在椭圆轨道上运动并包括不同卫星质量和系链长度的系统运动的控制方程的一般公式。开环系绳的部署和取回规律已得到发展。所提出的约束系统的非线性运动控制方程的数值模拟结果和平衡分析表明,实现三颗卫星在轨道平面内编队飞行的可行性。此外,均衡分析以对系统参数的不平等约束形式得出有用的设计标准。在三颗卫星具有相等质量的情况下,发现系统在轨道平面中的稳定自旋运动的自旋速度的临界最小值是轨道速度的0.58倍。最后,研究了各种系统参数以及系绳部署和检索对系统响应的影响。

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