A DUMB-BELL SATELLITE WITH A CABIN. EXISTENCE AND STABILITY OF RELATIVE EQUILIBRIA
TL;DRAbstract
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. Key words dumb-bell satellite dynamics, bifurcation diagrams, stability 1
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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. Key words dumb-bell satellite dynamics, bifurcation diagrams, stability 1
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