Atlas243 of 3,942

Broucke–Boggs S24

(0.15, 0.03, 2.82)

From Broucke & Boggs (1975)

Broucke–Boggs S24 (0.15, 0.03, 2.82) is a periodic orbit of the planar three-body problem: three masses in the ratio 0.15 : 0.03 : 2.82 that return to their starting positions and velocities every 12.566 time units, published by Broucke & Boggs (1975). Broucke and Boggs’s 1975 survey of periodic orbits at many mass ratios, most of them reported linearly stable. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.955 of each other at a top speed of 1.39, line up 6 times a period, and the computed loop closes to 1.1×10⁻²⁵.

Measured over one period

Period: 12.56637065
Masses: 0.15 : 0.03 : 2.82
Energy: -0.166672
Angular momentum: 0.21504
Closest approach: 0.9554
Top speed: 1.385
Path length: 32.393
Alignments per period: 6
Topology: a (free-group class, read from the drawing, shape period T/3)
Stability: stable (|λ|max 1.000)
Loop closure: 1.1×10⁻²⁵

Neighbours on the map

All Broucke–Boggs orbits, the families of periodic three-body orbits, or the atlas map.