Equilibrium motion of unbalanced dualspin spacecraft
Abstract
The force free motion of a dualspin spacecraft, with mass unbalance and internal energy dissipation in the main body, is studied. The exact equations of motion are solved for the steady state motion, often referred to as equilibrium motion or equilibrium point, reached asymptotically when the internal energy dissipation ceases. The solution indicates that at equilibrium the cone angle and precession rate are constant, there is no nutation, and the tumble vector does not rotate in body coordinates. The stability criteria established by previous investigators for the case of zero mass unbalance and zero cone angle equilibrium are shown to be derivable from the equations of the general case developed herein. Numerical integrations of the motion of representative spacecraft confirm the theoretical results.
 Publication:

14th Midwestern Mechanics Conference
 Pub Date:
 1975
 Bibcode:
 1975mwm..conf..193S
 Keywords:

 Dual Spin Spacecraft;
 Equilibrium Equations;
 Precession;
 Spacecraft Motion;
 Digital Computers;
 Energy Dissipation;
 Equations Of Motion;
 Mass Balance;
 Mathematical Models;
 Numerical Integration;
 Nutation Dampers;
 Astrodynamics