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V. Buchin, A. Burov, H. Troger:
"A Dumb-bell Satellite with a Cabin. Existence and Stability of Relative Equilibria";
Vortrag: 6th EUROMECH Conference ENOC 2008, Russia; 30.06.2008 - 04.07.2008; in: "Enoc 2008", A. Fradkov (Hrg.); (2008), Paper-Nr. 246, 6 S.

The problem of motion of a dumb-bell satellite in an
orbital plane passing through the attracting center is
considered. It is assumed that the satellite is equipped
with a cabin that is allowed to slide along the straight
connection of the two endbodies. The structure of the
set of stationary configurations depending on the pa-
rameter, which is the position of the cabin, is studied
both analytically and numerically. Especially bifurca-
tion of trivial configurations for which the dumb-bell
is located along the local vertical is considered. It is
shown that this bifurcation is accompanied by the ap-
pearance or disappearance of "oblique" configurations,
for which all massive points composing the satellite are
not located at the common vertical.

Bifurcation, relative equilibria, Energy Momentum Method

http://publik.tuwien.ac.at/files/PubDat_166413.pdf