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This article is cited in 1 scientific paper (total in 1 paper)
A Restricted Four-body Problem
for the Figure-eight Choreography
Ricardo Lara, Abimael Bengochea Department of Mathematics, ITAM,
Río Hondo 1, 01080 Ciudad de México, México
Abstract:
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.
Received: 13.10.2019 Accepted: 09.02.2021
Citation:
Ricardo Lara, Abimael Bengochea, “A Restricted Four-body Problem
for the Figure-eight Choreography”, Regul. Chaotic Dyn., 26:3 (2021), 222–235
Linking options:
https://www.mathnet.ru/eng/rcd1112 https://www.mathnet.ru/eng/rcd/v26/i3/p222
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Abstract page: | 80 | References: | 14 |
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