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arXiv · 1205.3446

Periodic orbits in the restricted four-body problem with two equal masses

Jaime Burgos-García·Joaquín Delgado
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Abstract

The restricted (equilateral) four-body problem consists of three bodies of masses m1, m2 and m3 (called primaries) lying in a Lagrangian configuration of the three-body problem i.e., they remain fixed at the apices of an equilateral triangle in a rotating coordinate system. A massless fourth body moves under the Newtonian gravitational law due to the three primaries, as in the Restricted three-body problem (R3BP), the fourth mass does not affect the motion of the three primaries. In this paper we explore symmetric periodic orbits of the restricted four-body problem (R4BP) for the case of two equal masses where they satisfy approximately the Routh's critical value.

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Jaime Burgos-García, Joaquín Delgado. 2012-05-15. Periodic orbits in the restricted four-body problem with two equal masses. https://doi.org/10.1007/s10509-012-1118-2

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