Abimael Bengochea



Lara R., Bengochea A.
In this work we introduce a planar restricted four-body problem where a massless particle moves under the gravitational influence due to three bodies following the figure-eight choreography, and explore some symmetric periodic orbits of this system which turns out to be nonautonomous. We use reversing symmetries to study both theoretically and numerically a certain type of symmetric periodic orbits of this system. The symmetric periodic orbits (initial conditions) were computed by solving some boundary-value problems.
Keywords: figure-eight solution, restricted four-body problem, reversing symmetry, periodic orbits, stability
Citation: Lara R., Bengochea A.,  A Restricted Four-body Problem for the Figure-eight Choreography, Regular and Chaotic Dynamics, 2021, vol. 26, no. 3, pp. 222-235

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