On the solution of the Darboux problem

被引:0
作者
A. V. Molodenkov
机构
[1] Institute for Problems in Precision Mechanics and Control,
来源
Mechanics of Solids | 2007年 / 42卷
关键词
Angular Velocity; Rigid Body; Closed Form; Angular Velocity Vector; Quaternion Matrix;
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学科分类号
摘要
We consider the problem of determining the angular position of a rigid body in space from its known angular velocity and initial position (the Darboux problem) in quaternion setting. For an arbitrary angular velocity vector of the body, we present a solution based on Lappo-Danilevskii’s recursion relations [1]. New special cases of solvability of the Darboux problem in closed form are obtained.
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页码:167 / 176
页数:9
相关论文
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[1]  
Erugin N. P.(1947)Reducible Systems Trudy Mat. Inst. Steklov 13 1-95