Multi-Tethered Space-Based Interferometers: Particle System Model
Multi-Tethered Space-Based Interferometers: Particle System Model
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发表时间：
2001-09
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通讯作者：
S. Gates
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作者：
S. Gates
摘要建立了一类由不同排列方式的多组份体组成的天基干涉仪的动力学模型，该干涉仪由可变长度的低质量柔性系绳组成。拴住的星座将执行协调的旋转扫描，伴随着基线维度的变化，以及自转轴的重新排列和自旋向上/自旋向下的机动。机械理想是一个由变长无质量系绳连接的N个质点的系统。可扩展系链和不可扩展系链都被考虑。给出了系统角动量和线性动量的表达式。利用拉格朗日方程导出了非限制非线性运动方程。引入流变约束以允许任何自由度的规定运动，并确定相关的物理力。得到了具有恒定非应变长度的可扩展系绳系统稳定旋转的线性化运动方程。
Abstract : Dynamics models are presented for a class of space-based interferometers comprised of multiple component bodies, interconnected in various arrangements, by low-mass flexible tethers of variable length. The tethered constellations are to perform coordinated rotational scanning accompanied by baseline dimensional changes, as well as spin axis realignments and spin-up/spin-down maneuvers. The mechanical idealization is a system of N point masses interconnected by massless tethers of variable length. Both extensible and inextensible tethers are considered. Expressions for system angular and linear momenta are developed. The unrestricted nonlinear motion equations are derived via Lagranges equations. Rheonomic constraints are introduced to allow prescribed motion of any degrees of freedom, and the associated physical forces are determined. The linearized equations of motion are obtained for the steady rotation of a system with extensible tethers of constant unstrained length.