Physics
Scientific paper
Feb 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976cemec..13...39k&link_type=abstract
Celestial Mechanics, vol. 13, Feb. 1976, p. 39-64.
Physics
6
Attitude Stability, Perturbation Theory, Satellite Perturbation, Spacecraft Stability, Torque, Body Kinematics, Differential Equations, Dynamic Stability, Encke Method, Euler Equations Of Motion, Rigid Structures, Two Body Problem
Scientific paper
Two analytical developments for the arbitrarily torqued motion of an asymmetric rigid body, both of which utilize a torque-free solution as the reference motion, are presented. The first is an Encke-type perturbation formulation in which differential equations for the angular-velocity and orientation departures from Poinsot motion are derived. The second technique is a variation-of-parameters scheme in which an analogue of Herrick's two-body perturbative differentiation technique is employed. The torque-free motion constants selected for variation are the initial orientation and initial angular velocity. Differential equations which specify the time variation of these parameters are developed so that the torque-free solution is instantaneously valid in the presence of arbitrary torques. Extensive use is made of the Euler-parameter description of body orientation and kinematics rather than the more conventional Euler angles in order to avoid the geometrical singularities implicit in the latter.
Junkins John L.
Kraige L. G.
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