| Abstract: |
| We consider the collinear symmetric four-body problem, where four masses
$m_3 = \alpha$, $m_1 = 1$, $m_2 = 1$ , and $m_4 =\alpha$ , $\alpha > 0$, are aligned in this order
and move symmetrically about their center of mass.
More precisely we analyse orbits that eject from quadruple collision
and describe different kind of trajectories,
including return to quadruple collision or escape to infinity.
A more general setting (covering other problems described by
two degrees of freedom systems) is also discussed. |
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