Klemperer rosette

A Klemperer rosette is a gravitational system of (optionally) alternating heavier and lighter bodies orbiting in a symmetrical pattern around a common barycenter.

Klemperer's article specifically analyzes regular polygons with 2–9 corners – dumbbell-shaped through nonagon – and non-centrally symmetric "rhombic rosettes" with three orbiting bodies, the outer two stationed at the middle orbiting body's triangular points (L4 and L5), which had already been described and studied by Lagrange in 1772.

[1](p 165) The regular polygonal configurations ("rosettes") do not require a central mass (a "sun" at the center is optional, and if present it may bobble above and below the orbital plane), although a Lagrange-type rhombus does.

Klemperer does indeed mention this configuration at the start of his article, but only as an already known set of equilibrium systems before introducing the actual rosettes.

[1](pp 165–166) The system is unstable regardless of whether the center of the rosette is in free space, or is in orbit around a central star.

A simple hexagonal rosette with two kinds of body, which Klemperer notes is the nearest to being stable.
The simplest system is three bodies in each other's Lagrangian points each with the same elliptical orbit ; it is the only configuration known to occur naturally . Klemperer called this a " rhombus " instead of a "rosette".
A pentagonal rosette as described in Larry Niven 's novel Ringworld .