The method of averaging for Euler's equations of rigid body motion

被引:8
作者
Coppola, VT
机构
[1] Aerospace Engineering Department, University of Michigan, 3041 FXB Bldg., Ann Arbor
关键词
spacecraft attitude motion; method of averaging; elliptic functions;
D O I
10.1023/A:1008215327247
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
We formulate the method of averaging for perturbations of Euler's equations of rotational motion. Euler's equations are three strongly nonlinear coupled differential equations that can be viewed as a three dimensional oscillator. The method of averaging is used to determine the long-term influence of perturbation terms on the motion by averaging about the nominal rigid body motion. The treatment is applicable to a large class of motions including precession with large nutation - it is not restricted to small motions about simple spins or nearly axi-symmetric bodies. Three examples are shown that demonstrate the accuracy of the method's predictions.
引用
收藏
页码:295 / 308
页数:14
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