Collinear configurations of galaxies can be stable

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Astronomical Models, Collinearity, Galactic Structure, Lagrangian Equilibrium Points, Three Body Problem, Galactic Rotation, Gravitational Effects, Magellanic Clouds, Mass Distribution, Point Sources, Tides

Scientific paper

Collinear configurations of point masses have long been known as possible though unstable solutions of the three-body problem. But collinear configurations consisting of a massive and extensive central primary with two satellites may be stable. One possible stabilizing mechanism is the tide induced in the primary by the satellites. Another is a reduction in the ratio of the primary's gravitational mass (as felt by the satellites) to its inertial mass. This effect arises if the primary extends beyond the orbits of the satellites. Both stabilizing mechanisms may be relevant to the dynamics of barred galaxies, configurations of external galaxies and their satellites, as well as the Large Magellanic Cloud-Galaxy-Draco system.

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