This paper introduces a method for the simulation of motions of a sate
llite which, while in motion, extrudes or retracts a long, elastic app
endage. The undeployed part of the appendage which is assumed to be wr
apped around a drum whose axis is fixed in the satellite is taken into
account. The method is used to generate equations governing the motio
n of the entire system, coming to grips with the fact that the elastic
properties of the deployed part of the appendage are time-dependent.
It is shown that whereas the radius of the drum has a small effect on
the dynamic behavior the satellite during deployment/retraction, the l
ocation of the centerpoint of the drum with respect to the mass center
of the satellite is significant, and a location can be found that wil
l leave the orientation of the satellite during deployment/retraction
practically intact.