Spatial equilibria of multibody chain in a circular orbit

被引:16
作者
Guerman, AD [1 ]
机构
[1] Univ Beira Interior, Dept Electromech Engn, Calcada Fonte Lameiro, P-6201001 Covilha, Portugal
关键词
multibody system; tether system; formation flying; equilibrium; circular orbit;
D O I
10.1016/j.actaastro.2005.05.002
中图分类号
V [航空、航天];
学科分类号
08 ; 0825 ;
摘要
We study spatial equilibria of a multibody connected system within the framework of the model of n + l material points connected by it light rods (assumed massless) into an n-link chain. The junctions are spherical hinges. The center of mass of the system moves along a circular orbit. The equilibrium equations are obtained and transformed into a rather simple system, which facilitates the analysis. We classify all the spatial equilibria of an n-link chain and prove that each rod can occupy one of the following three positions: it can be directed along the tangent to the orbit of the center of mass of the chain; it can be a member of a group of rods located in the plane parallel to the normal and bi-normal to the orbit, being the center of mass of this group situated on the tangent to the orbit; finally, the rod can either join two groups of rods parallel to plane of normal and bi-normal to the orbit, or an end of such a group with the tangent to the orbit. We include as an example the analysis of four satellites connected into a 3-link chain with equal members, and represent the schemes of existing equilibria in this case. Most of obtained equilibria are actually two-dimensional (though not necessarily lie in the orbit plane), but we also revealed a number of three-dimensional tetrahedron configurations. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1 / 14
页数:14
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