Electronic Resource
Springer
Nonlinear dynamics
14 (1997), S. 295-308
ISSN:
1573-269X
Keywords:
Spacecraft attitude motion
;
method of averaging
;
elliptic functions
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1008215327247
|
Location |
Call Number |
Expected |
Availability |
